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5
.gitignore
vendored
@@ -53,9 +53,12 @@ docs/_build/
|
||||
# PyBuilder
|
||||
target/
|
||||
|
||||
#costum
|
||||
#custom
|
||||
*.kdev4
|
||||
*.lyx~
|
||||
.ipynb_checkpoints/
|
||||
results/
|
||||
*.vtk
|
||||
|
||||
# VIM
|
||||
*.swp
|
||||
|
||||
839
LICENSE
@@ -1,281 +1,622 @@
|
||||
GNU GENERAL PUBLIC LICENSE
|
||||
Version 2, June 1991
|
||||
GNU GENERAL PUBLIC LICENSE
|
||||
Version 3, 29 June 2007
|
||||
|
||||
Copyright (C) 1989, 1991 Free Software Foundation, Inc., <http://fsf.org/>
|
||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
||||
Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/>
|
||||
Everyone is permitted to copy and distribute verbatim copies
|
||||
of this license document, but changing it is not allowed.
|
||||
|
||||
Preamble
|
||||
|
||||
The licenses for most software are designed to take away your
|
||||
freedom to share and change it. By contrast, the GNU General Public
|
||||
License is intended to guarantee your freedom to share and change free
|
||||
software--to make sure the software is free for all its users. This
|
||||
General Public License applies to most of the Free Software
|
||||
Foundation's software and to any other program whose authors commit to
|
||||
using it. (Some other Free Software Foundation software is covered by
|
||||
the GNU Lesser General Public License instead.) You can apply it to
|
||||
The GNU General Public License is a free, copyleft license for
|
||||
software and other kinds of works.
|
||||
|
||||
The licenses for most software and other practical works are designed
|
||||
to take away your freedom to share and change the works. By contrast,
|
||||
the GNU General Public License is intended to guarantee your freedom to
|
||||
share and change all versions of a program--to make sure it remains free
|
||||
software for all its users. We, the Free Software Foundation, use the
|
||||
GNU General Public License for most of our software; it applies also to
|
||||
any other work released this way by its authors. You can apply it to
|
||||
your programs, too.
|
||||
|
||||
When we speak of free software, we are referring to freedom, not
|
||||
price. Our General Public Licenses are designed to make sure that you
|
||||
have the freedom to distribute copies of free software (and charge for
|
||||
this service if you wish), that you receive source code or can get it
|
||||
if you want it, that you can change the software or use pieces of it
|
||||
in new free programs; and that you know you can do these things.
|
||||
them if you wish), that you receive source code or can get it if you
|
||||
want it, that you can change the software or use pieces of it in new
|
||||
free programs, and that you know you can do these things.
|
||||
|
||||
To protect your rights, we need to make restrictions that forbid
|
||||
anyone to deny you these rights or to ask you to surrender the rights.
|
||||
These restrictions translate to certain responsibilities for you if you
|
||||
distribute copies of the software, or if you modify it.
|
||||
To protect your rights, we need to prevent others from denying you
|
||||
these rights or asking you to surrender the rights. Therefore, you have
|
||||
certain responsibilities if you distribute copies of the software, or if
|
||||
you modify it: responsibilities to respect the freedom of others.
|
||||
|
||||
For example, if you distribute copies of such a program, whether
|
||||
gratis or for a fee, you must give the recipients all the rights that
|
||||
you have. You must make sure that they, too, receive or can get the
|
||||
source code. And you must show them these terms so they know their
|
||||
rights.
|
||||
gratis or for a fee, you must pass on to the recipients the same
|
||||
freedoms that you received. You must make sure that they, too, receive
|
||||
or can get the source code. And you must show them these terms so they
|
||||
know their rights.
|
||||
|
||||
We protect your rights with two steps: (1) copyright the software, and
|
||||
(2) offer you this license which gives you legal permission to copy,
|
||||
distribute and/or modify the software.
|
||||
Developers that use the GNU GPL protect your rights with two steps:
|
||||
(1) assert copyright on the software, and (2) offer you this License
|
||||
giving you legal permission to copy, distribute and/or modify it.
|
||||
|
||||
Also, for each author's protection and ours, we want to make certain
|
||||
that everyone understands that there is no warranty for this free
|
||||
software. If the software is modified by someone else and passed on, we
|
||||
want its recipients to know that what they have is not the original, so
|
||||
that any problems introduced by others will not reflect on the original
|
||||
authors' reputations.
|
||||
For the developers' and authors' protection, the GPL clearly explains
|
||||
that there is no warranty for this free software. For both users' and
|
||||
authors' sake, the GPL requires that modified versions be marked as
|
||||
changed, so that their problems will not be attributed erroneously to
|
||||
authors of previous versions.
|
||||
|
||||
Finally, any free program is threatened constantly by software
|
||||
patents. We wish to avoid the danger that redistributors of a free
|
||||
program will individually obtain patent licenses, in effect making the
|
||||
program proprietary. To prevent this, we have made it clear that any
|
||||
patent must be licensed for everyone's free use or not licensed at all.
|
||||
Some devices are designed to deny users access to install or run
|
||||
modified versions of the software inside them, although the manufacturer
|
||||
can do so. This is fundamentally incompatible with the aim of
|
||||
protecting users' freedom to change the software. The systematic
|
||||
pattern of such abuse occurs in the area of products for individuals to
|
||||
use, which is precisely where it is most unacceptable. Therefore, we
|
||||
have designed this version of the GPL to prohibit the practice for those
|
||||
products. If such problems arise substantially in other domains, we
|
||||
stand ready to extend this provision to those domains in future versions
|
||||
of the GPL, as needed to protect the freedom of users.
|
||||
|
||||
Finally, every program is threatened constantly by software patents.
|
||||
States should not allow patents to restrict development and use of
|
||||
software on general-purpose computers, but in those that do, we wish to
|
||||
avoid the special danger that patents applied to a free program could
|
||||
make it effectively proprietary. To prevent this, the GPL assures that
|
||||
patents cannot be used to render the program non-free.
|
||||
|
||||
The precise terms and conditions for copying, distribution and
|
||||
modification follow.
|
||||
|
||||
GNU GENERAL PUBLIC LICENSE
|
||||
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
|
||||
TERMS AND CONDITIONS
|
||||
|
||||
0. This License applies to any program or other work which contains
|
||||
a notice placed by the copyright holder saying it may be distributed
|
||||
under the terms of this General Public License. The "Program", below,
|
||||
refers to any such program or work, and a "work based on the Program"
|
||||
means either the Program or any derivative work under copyright law:
|
||||
that is to say, a work containing the Program or a portion of it,
|
||||
either verbatim or with modifications and/or translated into another
|
||||
language. (Hereinafter, translation is included without limitation in
|
||||
the term "modification".) Each licensee is addressed as "you".
|
||||
0. Definitions.
|
||||
|
||||
Activities other than copying, distribution and modification are not
|
||||
covered by this License; they are outside its scope. The act of
|
||||
running the Program is not restricted, and the output from the Program
|
||||
is covered only if its contents constitute a work based on the
|
||||
Program (independent of having been made by running the Program).
|
||||
Whether that is true depends on what the Program does.
|
||||
"This License" refers to version 3 of the GNU General Public License.
|
||||
|
||||
1. You may copy and distribute verbatim copies of the Program's
|
||||
source code as you receive it, in any medium, provided that you
|
||||
conspicuously and appropriately publish on each copy an appropriate
|
||||
copyright notice and disclaimer of warranty; keep intact all the
|
||||
notices that refer to this License and to the absence of any warranty;
|
||||
and give any other recipients of the Program a copy of this License
|
||||
along with the Program.
|
||||
"Copyright" also means copyright-like laws that apply to other kinds of
|
||||
works, such as semiconductor masks.
|
||||
|
||||
You may charge a fee for the physical act of transferring a copy, and
|
||||
you may at your option offer warranty protection in exchange for a fee.
|
||||
"The Program" refers to any copyrightable work licensed under this
|
||||
License. Each licensee is addressed as "you". "Licensees" and
|
||||
"recipients" may be individuals or organizations.
|
||||
|
||||
2. You may modify your copy or copies of the Program or any portion
|
||||
of it, thus forming a work based on the Program, and copy and
|
||||
distribute such modifications or work under the terms of Section 1
|
||||
above, provided that you also meet all of these conditions:
|
||||
To "modify" a work means to copy from or adapt all or part of the work
|
||||
in a fashion requiring copyright permission, other than the making of an
|
||||
exact copy. The resulting work is called a "modified version" of the
|
||||
earlier work or a work "based on" the earlier work.
|
||||
|
||||
a) You must cause the modified files to carry prominent notices
|
||||
stating that you changed the files and the date of any change.
|
||||
A "covered work" means either the unmodified Program or a work based
|
||||
on the Program.
|
||||
|
||||
b) You must cause any work that you distribute or publish, that in
|
||||
whole or in part contains or is derived from the Program or any
|
||||
part thereof, to be licensed as a whole at no charge to all third
|
||||
parties under the terms of this License.
|
||||
To "propagate" a work means to do anything with it that, without
|
||||
permission, would make you directly or secondarily liable for
|
||||
infringement under applicable copyright law, except executing it on a
|
||||
computer or modifying a private copy. Propagation includes copying,
|
||||
distribution (with or without modification), making available to the
|
||||
public, and in some countries other activities as well.
|
||||
|
||||
c) If the modified program normally reads commands interactively
|
||||
when run, you must cause it, when started running for such
|
||||
interactive use in the most ordinary way, to print or display an
|
||||
announcement including an appropriate copyright notice and a
|
||||
notice that there is no warranty (or else, saying that you provide
|
||||
a warranty) and that users may redistribute the program under
|
||||
these conditions, and telling the user how to view a copy of this
|
||||
License. (Exception: if the Program itself is interactive but
|
||||
does not normally print such an announcement, your work based on
|
||||
the Program is not required to print an announcement.)
|
||||
To "convey" a work means any kind of propagation that enables other
|
||||
parties to make or receive copies. Mere interaction with a user through
|
||||
a computer network, with no transfer of a copy, is not conveying.
|
||||
|
||||
These requirements apply to the modified work as a whole. If
|
||||
identifiable sections of that work are not derived from the Program,
|
||||
and can be reasonably considered independent and separate works in
|
||||
themselves, then this License, and its terms, do not apply to those
|
||||
sections when you distribute them as separate works. But when you
|
||||
distribute the same sections as part of a whole which is a work based
|
||||
on the Program, the distribution of the whole must be on the terms of
|
||||
this License, whose permissions for other licensees extend to the
|
||||
entire whole, and thus to each and every part regardless of who wrote it.
|
||||
An interactive user interface displays "Appropriate Legal Notices"
|
||||
to the extent that it includes a convenient and prominently visible
|
||||
feature that (1) displays an appropriate copyright notice, and (2)
|
||||
tells the user that there is no warranty for the work (except to the
|
||||
extent that warranties are provided), that licensees may convey the
|
||||
work under this License, and how to view a copy of this License. If
|
||||
the interface presents a list of user commands or options, such as a
|
||||
menu, a prominent item in the list meets this criterion.
|
||||
|
||||
Thus, it is not the intent of this section to claim rights or contest
|
||||
your rights to work written entirely by you; rather, the intent is to
|
||||
exercise the right to control the distribution of derivative or
|
||||
collective works based on the Program.
|
||||
1. Source Code.
|
||||
|
||||
In addition, mere aggregation of another work not based on the Program
|
||||
with the Program (or with a work based on the Program) on a volume of
|
||||
a storage or distribution medium does not bring the other work under
|
||||
the scope of this License.
|
||||
The "source code" for a work means the preferred form of the work
|
||||
for making modifications to it. "Object code" means any non-source
|
||||
form of a work.
|
||||
|
||||
3. You may copy and distribute the Program (or a work based on it,
|
||||
under Section 2) in object code or executable form under the terms of
|
||||
Sections 1 and 2 above provided that you also do one of the following:
|
||||
A "Standard Interface" means an interface that either is an official
|
||||
standard defined by a recognized standards body, or, in the case of
|
||||
interfaces specified for a particular programming language, one that
|
||||
is widely used among developers working in that language.
|
||||
|
||||
a) Accompany it with the complete corresponding machine-readable
|
||||
source code, which must be distributed under the terms of Sections
|
||||
1 and 2 above on a medium customarily used for software interchange; or,
|
||||
The "System Libraries" of an executable work include anything, other
|
||||
than the work as a whole, that (a) is included in the normal form of
|
||||
packaging a Major Component, but which is not part of that Major
|
||||
Component, and (b) serves only to enable use of the work with that
|
||||
Major Component, or to implement a Standard Interface for which an
|
||||
implementation is available to the public in source code form. A
|
||||
"Major Component", in this context, means a major essential component
|
||||
(kernel, window system, and so on) of the specific operating system
|
||||
(if any) on which the executable work runs, or a compiler used to
|
||||
produce the work, or an object code interpreter used to run it.
|
||||
|
||||
b) Accompany it with a written offer, valid for at least three
|
||||
years, to give any third party, for a charge no more than your
|
||||
cost of physically performing source distribution, a complete
|
||||
machine-readable copy of the corresponding source code, to be
|
||||
distributed under the terms of Sections 1 and 2 above on a medium
|
||||
customarily used for software interchange; or,
|
||||
The "Corresponding Source" for a work in object code form means all
|
||||
the source code needed to generate, install, and (for an executable
|
||||
work) run the object code and to modify the work, including scripts to
|
||||
control those activities. However, it does not include the work's
|
||||
System Libraries, or general-purpose tools or generally available free
|
||||
programs which are used unmodified in performing those activities but
|
||||
which are not part of the work. For example, Corresponding Source
|
||||
includes interface definition files associated with source files for
|
||||
the work, and the source code for shared libraries and dynamically
|
||||
linked subprograms that the work is specifically designed to require,
|
||||
such as by intimate data communication or control flow between those
|
||||
subprograms and other parts of the work.
|
||||
|
||||
c) Accompany it with the information you received as to the offer
|
||||
to distribute corresponding source code. (This alternative is
|
||||
allowed only for noncommercial distribution and only if you
|
||||
received the program in object code or executable form with such
|
||||
an offer, in accord with Subsection b above.)
|
||||
The Corresponding Source need not include anything that users
|
||||
can regenerate automatically from other parts of the Corresponding
|
||||
Source.
|
||||
|
||||
The source code for a work means the preferred form of the work for
|
||||
making modifications to it. For an executable work, complete source
|
||||
code means all the source code for all modules it contains, plus any
|
||||
associated interface definition files, plus the scripts used to
|
||||
control compilation and installation of the executable. However, as a
|
||||
special exception, the source code distributed need not include
|
||||
anything that is normally distributed (in either source or binary
|
||||
form) with the major components (compiler, kernel, and so on) of the
|
||||
operating system on which the executable runs, unless that component
|
||||
itself accompanies the executable.
|
||||
The Corresponding Source for a work in source code form is that
|
||||
same work.
|
||||
|
||||
If distribution of executable or object code is made by offering
|
||||
access to copy from a designated place, then offering equivalent
|
||||
access to copy the source code from the same place counts as
|
||||
distribution of the source code, even though third parties are not
|
||||
compelled to copy the source along with the object code.
|
||||
2. Basic Permissions.
|
||||
|
||||
4. You may not copy, modify, sublicense, or distribute the Program
|
||||
except as expressly provided under this License. Any attempt
|
||||
otherwise to copy, modify, sublicense or distribute the Program is
|
||||
void, and will automatically terminate your rights under this License.
|
||||
However, parties who have received copies, or rights, from you under
|
||||
this License will not have their licenses terminated so long as such
|
||||
parties remain in full compliance.
|
||||
All rights granted under this License are granted for the term of
|
||||
copyright on the Program, and are irrevocable provided the stated
|
||||
conditions are met. This License explicitly affirms your unlimited
|
||||
permission to run the unmodified Program. The output from running a
|
||||
covered work is covered by this License only if the output, given its
|
||||
content, constitutes a covered work. This License acknowledges your
|
||||
rights of fair use or other equivalent, as provided by copyright law.
|
||||
|
||||
5. You are not required to accept this License, since you have not
|
||||
signed it. However, nothing else grants you permission to modify or
|
||||
distribute the Program or its derivative works. These actions are
|
||||
prohibited by law if you do not accept this License. Therefore, by
|
||||
modifying or distributing the Program (or any work based on the
|
||||
Program), you indicate your acceptance of this License to do so, and
|
||||
all its terms and conditions for copying, distributing or modifying
|
||||
the Program or works based on it.
|
||||
You may make, run and propagate covered works that you do not
|
||||
convey, without conditions so long as your license otherwise remains
|
||||
in force. You may convey covered works to others for the sole purpose
|
||||
of having them make modifications exclusively for you, or provide you
|
||||
with facilities for running those works, provided that you comply with
|
||||
the terms of this License in conveying all material for which you do
|
||||
not control copyright. Those thus making or running the covered works
|
||||
for you must do so exclusively on your behalf, under your direction
|
||||
and control, on terms that prohibit them from making any copies of
|
||||
your copyrighted material outside their relationship with you.
|
||||
|
||||
6. Each time you redistribute the Program (or any work based on the
|
||||
Program), the recipient automatically receives a license from the
|
||||
original licensor to copy, distribute or modify the Program subject to
|
||||
these terms and conditions. You may not impose any further
|
||||
restrictions on the recipients' exercise of the rights granted herein.
|
||||
You are not responsible for enforcing compliance by third parties to
|
||||
Conveying under any other circumstances is permitted solely under
|
||||
the conditions stated below. Sublicensing is not allowed; section 10
|
||||
makes it unnecessary.
|
||||
|
||||
3. Protecting Users' Legal Rights From Anti-Circumvention Law.
|
||||
|
||||
No covered work shall be deemed part of an effective technological
|
||||
measure under any applicable law fulfilling obligations under article
|
||||
11 of the WIPO copyright treaty adopted on 20 December 1996, or
|
||||
similar laws prohibiting or restricting circumvention of such
|
||||
measures.
|
||||
|
||||
When you convey a covered work, you waive any legal power to forbid
|
||||
circumvention of technological measures to the extent such circumvention
|
||||
is effected by exercising rights under this License with respect to
|
||||
the covered work, and you disclaim any intention to limit operation or
|
||||
modification of the work as a means of enforcing, against the work's
|
||||
users, your or third parties' legal rights to forbid circumvention of
|
||||
technological measures.
|
||||
|
||||
4. Conveying Verbatim Copies.
|
||||
|
||||
You may convey verbatim copies of the Program's source code as you
|
||||
receive it, in any medium, provided that you conspicuously and
|
||||
appropriately publish on each copy an appropriate copyright notice;
|
||||
keep intact all notices stating that this License and any
|
||||
non-permissive terms added in accord with section 7 apply to the code;
|
||||
keep intact all notices of the absence of any warranty; and give all
|
||||
recipients a copy of this License along with the Program.
|
||||
|
||||
You may charge any price or no price for each copy that you convey,
|
||||
and you may offer support or warranty protection for a fee.
|
||||
|
||||
5. Conveying Modified Source Versions.
|
||||
|
||||
You may convey a work based on the Program, or the modifications to
|
||||
produce it from the Program, in the form of source code under the
|
||||
terms of section 4, provided that you also meet all of these conditions:
|
||||
|
||||
a) The work must carry prominent notices stating that you modified
|
||||
it, and giving a relevant date.
|
||||
|
||||
b) The work must carry prominent notices stating that it is
|
||||
released under this License and any conditions added under section
|
||||
7. This requirement modifies the requirement in section 4 to
|
||||
"keep intact all notices".
|
||||
|
||||
c) You must license the entire work, as a whole, under this
|
||||
License to anyone who comes into possession of a copy. This
|
||||
License will therefore apply, along with any applicable section 7
|
||||
additional terms, to the whole of the work, and all its parts,
|
||||
regardless of how they are packaged. This License gives no
|
||||
permission to license the work in any other way, but it does not
|
||||
invalidate such permission if you have separately received it.
|
||||
|
||||
d) If the work has interactive user interfaces, each must display
|
||||
Appropriate Legal Notices; however, if the Program has interactive
|
||||
interfaces that do not display Appropriate Legal Notices, your
|
||||
work need not make them do so.
|
||||
|
||||
A compilation of a covered work with other separate and independent
|
||||
works, which are not by their nature extensions of the covered work,
|
||||
and which are not combined with it such as to form a larger program,
|
||||
in or on a volume of a storage or distribution medium, is called an
|
||||
"aggregate" if the compilation and its resulting copyright are not
|
||||
used to limit the access or legal rights of the compilation's users
|
||||
beyond what the individual works permit. Inclusion of a covered work
|
||||
in an aggregate does not cause this License to apply to the other
|
||||
parts of the aggregate.
|
||||
|
||||
6. Conveying Non-Source Forms.
|
||||
|
||||
You may convey a covered work in object code form under the terms
|
||||
of sections 4 and 5, provided that you also convey the
|
||||
machine-readable Corresponding Source under the terms of this License,
|
||||
in one of these ways:
|
||||
|
||||
a) Convey the object code in, or embodied in, a physical product
|
||||
(including a physical distribution medium), accompanied by the
|
||||
Corresponding Source fixed on a durable physical medium
|
||||
customarily used for software interchange.
|
||||
|
||||
b) Convey the object code in, or embodied in, a physical product
|
||||
(including a physical distribution medium), accompanied by a
|
||||
written offer, valid for at least three years and valid for as
|
||||
long as you offer spare parts or customer support for that product
|
||||
model, to give anyone who possesses the object code either (1) a
|
||||
copy of the Corresponding Source for all the software in the
|
||||
product that is covered by this License, on a durable physical
|
||||
medium customarily used for software interchange, for a price no
|
||||
more than your reasonable cost of physically performing this
|
||||
conveying of source, or (2) access to copy the
|
||||
Corresponding Source from a network server at no charge.
|
||||
|
||||
c) Convey individual copies of the object code with a copy of the
|
||||
written offer to provide the Corresponding Source. This
|
||||
alternative is allowed only occasionally and noncommercially, and
|
||||
only if you received the object code with such an offer, in accord
|
||||
with subsection 6b.
|
||||
|
||||
d) Convey the object code by offering access from a designated
|
||||
place (gratis or for a charge), and offer equivalent access to the
|
||||
Corresponding Source in the same way through the same place at no
|
||||
further charge. You need not require recipients to copy the
|
||||
Corresponding Source along with the object code. If the place to
|
||||
copy the object code is a network server, the Corresponding Source
|
||||
may be on a different server (operated by you or a third party)
|
||||
that supports equivalent copying facilities, provided you maintain
|
||||
clear directions next to the object code saying where to find the
|
||||
Corresponding Source. Regardless of what server hosts the
|
||||
Corresponding Source, you remain obligated to ensure that it is
|
||||
available for as long as needed to satisfy these requirements.
|
||||
|
||||
e) Convey the object code using peer-to-peer transmission, provided
|
||||
you inform other peers where the object code and Corresponding
|
||||
Source of the work are being offered to the general public at no
|
||||
charge under subsection 6d.
|
||||
|
||||
A separable portion of the object code, whose source code is excluded
|
||||
from the Corresponding Source as a System Library, need not be
|
||||
included in conveying the object code work.
|
||||
|
||||
A "User Product" is either (1) a "consumer product", which means any
|
||||
tangible personal property which is normally used for personal, family,
|
||||
or household purposes, or (2) anything designed or sold for incorporation
|
||||
into a dwelling. In determining whether a product is a consumer product,
|
||||
doubtful cases shall be resolved in favor of coverage. For a particular
|
||||
product received by a particular user, "normally used" refers to a
|
||||
typical or common use of that class of product, regardless of the status
|
||||
of the particular user or of the way in which the particular user
|
||||
actually uses, or expects or is expected to use, the product. A product
|
||||
is a consumer product regardless of whether the product has substantial
|
||||
commercial, industrial or non-consumer uses, unless such uses represent
|
||||
the only significant mode of use of the product.
|
||||
|
||||
"Installation Information" for a User Product means any methods,
|
||||
procedures, authorization keys, or other information required to install
|
||||
and execute modified versions of a covered work in that User Product from
|
||||
a modified version of its Corresponding Source. The information must
|
||||
suffice to ensure that the continued functioning of the modified object
|
||||
code is in no case prevented or interfered with solely because
|
||||
modification has been made.
|
||||
|
||||
If you convey an object code work under this section in, or with, or
|
||||
specifically for use in, a User Product, and the conveying occurs as
|
||||
part of a transaction in which the right of possession and use of the
|
||||
User Product is transferred to the recipient in perpetuity or for a
|
||||
fixed term (regardless of how the transaction is characterized), the
|
||||
Corresponding Source conveyed under this section must be accompanied
|
||||
by the Installation Information. But this requirement does not apply
|
||||
if neither you nor any third party retains the ability to install
|
||||
modified object code on the User Product (for example, the work has
|
||||
been installed in ROM).
|
||||
|
||||
The requirement to provide Installation Information does not include a
|
||||
requirement to continue to provide support service, warranty, or updates
|
||||
for a work that has been modified or installed by the recipient, or for
|
||||
the User Product in which it has been modified or installed. Access to a
|
||||
network may be denied when the modification itself materially and
|
||||
adversely affects the operation of the network or violates the rules and
|
||||
protocols for communication across the network.
|
||||
|
||||
Corresponding Source conveyed, and Installation Information provided,
|
||||
in accord with this section must be in a format that is publicly
|
||||
documented (and with an implementation available to the public in
|
||||
source code form), and must require no special password or key for
|
||||
unpacking, reading or copying.
|
||||
|
||||
7. Additional Terms.
|
||||
|
||||
"Additional permissions" are terms that supplement the terms of this
|
||||
License by making exceptions from one or more of its conditions.
|
||||
Additional permissions that are applicable to the entire Program shall
|
||||
be treated as though they were included in this License, to the extent
|
||||
that they are valid under applicable law. If additional permissions
|
||||
apply only to part of the Program, that part may be used separately
|
||||
under those permissions, but the entire Program remains governed by
|
||||
this License without regard to the additional permissions.
|
||||
|
||||
When you convey a copy of a covered work, you may at your option
|
||||
remove any additional permissions from that copy, or from any part of
|
||||
it. (Additional permissions may be written to require their own
|
||||
removal in certain cases when you modify the work.) You may place
|
||||
additional permissions on material, added by you to a covered work,
|
||||
for which you have or can give appropriate copyright permission.
|
||||
|
||||
Notwithstanding any other provision of this License, for material you
|
||||
add to a covered work, you may (if authorized by the copyright holders of
|
||||
that material) supplement the terms of this License with terms:
|
||||
|
||||
a) Disclaiming warranty or limiting liability differently from the
|
||||
terms of sections 15 and 16 of this License; or
|
||||
|
||||
b) Requiring preservation of specified reasonable legal notices or
|
||||
author attributions in that material or in the Appropriate Legal
|
||||
Notices displayed by works containing it; or
|
||||
|
||||
c) Prohibiting misrepresentation of the origin of that material, or
|
||||
requiring that modified versions of such material be marked in
|
||||
reasonable ways as different from the original version; or
|
||||
|
||||
d) Limiting the use for publicity purposes of names of licensors or
|
||||
authors of the material; or
|
||||
|
||||
e) Declining to grant rights under trademark law for use of some
|
||||
trade names, trademarks, or service marks; or
|
||||
|
||||
f) Requiring indemnification of licensors and authors of that
|
||||
material by anyone who conveys the material (or modified versions of
|
||||
it) with contractual assumptions of liability to the recipient, for
|
||||
any liability that these contractual assumptions directly impose on
|
||||
those licensors and authors.
|
||||
|
||||
All other non-permissive additional terms are considered "further
|
||||
restrictions" within the meaning of section 10. If the Program as you
|
||||
received it, or any part of it, contains a notice stating that it is
|
||||
governed by this License along with a term that is a further
|
||||
restriction, you may remove that term. If a license document contains
|
||||
a further restriction but permits relicensing or conveying under this
|
||||
License, you may add to a covered work material governed by the terms
|
||||
of that license document, provided that the further restriction does
|
||||
not survive such relicensing or conveying.
|
||||
|
||||
If you add terms to a covered work in accord with this section, you
|
||||
must place, in the relevant source files, a statement of the
|
||||
additional terms that apply to those files, or a notice indicating
|
||||
where to find the applicable terms.
|
||||
|
||||
Additional terms, permissive or non-permissive, may be stated in the
|
||||
form of a separately written license, or stated as exceptions;
|
||||
the above requirements apply either way.
|
||||
|
||||
8. Termination.
|
||||
|
||||
You may not propagate or modify a covered work except as expressly
|
||||
provided under this License. Any attempt otherwise to propagate or
|
||||
modify it is void, and will automatically terminate your rights under
|
||||
this License (including any patent licenses granted under the third
|
||||
paragraph of section 11).
|
||||
|
||||
However, if you cease all violation of this License, then your
|
||||
license from a particular copyright holder is reinstated (a)
|
||||
provisionally, unless and until the copyright holder explicitly and
|
||||
finally terminates your license, and (b) permanently, if the copyright
|
||||
holder fails to notify you of the violation by some reasonable means
|
||||
prior to 60 days after the cessation.
|
||||
|
||||
Moreover, your license from a particular copyright holder is
|
||||
reinstated permanently if the copyright holder notifies you of the
|
||||
violation by some reasonable means, this is the first time you have
|
||||
received notice of violation of this License (for any work) from that
|
||||
copyright holder, and you cure the violation prior to 30 days after
|
||||
your receipt of the notice.
|
||||
|
||||
Termination of your rights under this section does not terminate the
|
||||
licenses of parties who have received copies or rights from you under
|
||||
this License. If your rights have been terminated and not permanently
|
||||
reinstated, you do not qualify to receive new licenses for the same
|
||||
material under section 10.
|
||||
|
||||
9. Acceptance Not Required for Having Copies.
|
||||
|
||||
You are not required to accept this License in order to receive or
|
||||
run a copy of the Program. Ancillary propagation of a covered work
|
||||
occurring solely as a consequence of using peer-to-peer transmission
|
||||
to receive a copy likewise does not require acceptance. However,
|
||||
nothing other than this License grants you permission to propagate or
|
||||
modify any covered work. These actions infringe copyright if you do
|
||||
not accept this License. Therefore, by modifying or propagating a
|
||||
covered work, you indicate your acceptance of this License to do so.
|
||||
|
||||
10. Automatic Licensing of Downstream Recipients.
|
||||
|
||||
Each time you convey a covered work, the recipient automatically
|
||||
receives a license from the original licensors, to run, modify and
|
||||
propagate that work, subject to this License. You are not responsible
|
||||
for enforcing compliance by third parties with this License.
|
||||
|
||||
An "entity transaction" is a transaction transferring control of an
|
||||
organization, or substantially all assets of one, or subdividing an
|
||||
organization, or merging organizations. If propagation of a covered
|
||||
work results from an entity transaction, each party to that
|
||||
transaction who receives a copy of the work also receives whatever
|
||||
licenses to the work the party's predecessor in interest had or could
|
||||
give under the previous paragraph, plus a right to possession of the
|
||||
Corresponding Source of the work from the predecessor in interest, if
|
||||
the predecessor has it or can get it with reasonable efforts.
|
||||
|
||||
You may not impose any further restrictions on the exercise of the
|
||||
rights granted or affirmed under this License. For example, you may
|
||||
not impose a license fee, royalty, or other charge for exercise of
|
||||
rights granted under this License, and you may not initiate litigation
|
||||
(including a cross-claim or counterclaim in a lawsuit) alleging that
|
||||
any patent claim is infringed by making, using, selling, offering for
|
||||
sale, or importing the Program or any portion of it.
|
||||
|
||||
11. Patents.
|
||||
|
||||
A "contributor" is a copyright holder who authorizes use under this
|
||||
License of the Program or a work on which the Program is based. The
|
||||
work thus licensed is called the contributor's "contributor version".
|
||||
|
||||
A contributor's "essential patent claims" are all patent claims
|
||||
owned or controlled by the contributor, whether already acquired or
|
||||
hereafter acquired, that would be infringed by some manner, permitted
|
||||
by this License, of making, using, or selling its contributor version,
|
||||
but do not include claims that would be infringed only as a
|
||||
consequence of further modification of the contributor version. For
|
||||
purposes of this definition, "control" includes the right to grant
|
||||
patent sublicenses in a manner consistent with the requirements of
|
||||
this License.
|
||||
|
||||
7. If, as a consequence of a court judgment or allegation of patent
|
||||
infringement or for any other reason (not limited to patent issues),
|
||||
conditions are imposed on you (whether by court order, agreement or
|
||||
Each contributor grants you a non-exclusive, worldwide, royalty-free
|
||||
patent license under the contributor's essential patent claims, to
|
||||
make, use, sell, offer for sale, import and otherwise run, modify and
|
||||
propagate the contents of its contributor version.
|
||||
|
||||
In the following three paragraphs, a "patent license" is any express
|
||||
agreement or commitment, however denominated, not to enforce a patent
|
||||
(such as an express permission to practice a patent or covenant not to
|
||||
sue for patent infringement). To "grant" such a patent license to a
|
||||
party means to make such an agreement or commitment not to enforce a
|
||||
patent against the party.
|
||||
|
||||
If you convey a covered work, knowingly relying on a patent license,
|
||||
and the Corresponding Source of the work is not available for anyone
|
||||
to copy, free of charge and under the terms of this License, through a
|
||||
publicly available network server or other readily accessible means,
|
||||
then you must either (1) cause the Corresponding Source to be so
|
||||
available, or (2) arrange to deprive yourself of the benefit of the
|
||||
patent license for this particular work, or (3) arrange, in a manner
|
||||
consistent with the requirements of this License, to extend the patent
|
||||
license to downstream recipients. "Knowingly relying" means you have
|
||||
actual knowledge that, but for the patent license, your conveying the
|
||||
covered work in a country, or your recipient's use of the covered work
|
||||
in a country, would infringe one or more identifiable patents in that
|
||||
country that you have reason to believe are valid.
|
||||
|
||||
If, pursuant to or in connection with a single transaction or
|
||||
arrangement, you convey, or propagate by procuring conveyance of, a
|
||||
covered work, and grant a patent license to some of the parties
|
||||
receiving the covered work authorizing them to use, propagate, modify
|
||||
or convey a specific copy of the covered work, then the patent license
|
||||
you grant is automatically extended to all recipients of the covered
|
||||
work and works based on it.
|
||||
|
||||
A patent license is "discriminatory" if it does not include within
|
||||
the scope of its coverage, prohibits the exercise of, or is
|
||||
conditioned on the non-exercise of one or more of the rights that are
|
||||
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|
||||
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|
||||
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|
||||
to the third party based on the extent of your activity of conveying
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
for and in connection with specific products or compilations that
|
||||
contain the covered work, unless you entered into that arrangement,
|
||||
or that patent license was granted, prior to 28 March 2007.
|
||||
|
||||
Nothing in this License shall be construed as excluding or limiting
|
||||
any implied license or other defenses to infringement that may
|
||||
otherwise be available to you under applicable patent law.
|
||||
|
||||
12. No Surrender of Others' Freedom.
|
||||
|
||||
If conditions are imposed on you (whether by court order, agreement or
|
||||
otherwise) that contradict the conditions of this License, they do not
|
||||
excuse you from the conditions of this License. If you cannot
|
||||
distribute so as to satisfy simultaneously your obligations under this
|
||||
License and any other pertinent obligations, then as a consequence you
|
||||
may not distribute the Program at all. For example, if a patent
|
||||
license would not permit royalty-free redistribution of the Program by
|
||||
all those who receive copies directly or indirectly through you, then
|
||||
the only way you could satisfy both it and this License would be to
|
||||
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|
||||
excuse you from the conditions of this License. If you cannot convey a
|
||||
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|
||||
License and any other pertinent obligations, then as a consequence you may
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
If any portion of this section is held invalid or unenforceable under
|
||||
any particular circumstance, the balance of the section is intended to
|
||||
apply and the section as a whole is intended to apply in other
|
||||
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|
||||
13. Use with the GNU Affero General Public License.
|
||||
|
||||
It is not the purpose of this section to induce you to infringe any
|
||||
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|
||||
such claims; this section has the sole purpose of protecting the
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
Notwithstanding any other provision of this License, you have
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
This section is intended to make thoroughly clear what is believed to
|
||||
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|
||||
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|
||||
|
||||
8. If the distribution and/or use of the Program is restricted in
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
9. The Free Software Foundation may publish revised and/or new versions
|
||||
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|
||||
The Free Software Foundation may publish revised and/or new versions of
|
||||
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|
||||
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|
||||
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|
||||
|
||||
Each version is given a distinguishing version number. If the Program
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
If the Program specifies that a proxy can decide which future
|
||||
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|
||||
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|
||||
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|
||||
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
|
||||
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|
||||
15. Disclaimer of Warranty.
|
||||
|
||||
12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
|
||||
REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
|
||||
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|
||||
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
||||
|
||||
16. Limitation of Liability.
|
||||
|
||||
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
|
||||
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
|
||||
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
|
||||
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
|
||||
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
|
||||
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
|
||||
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
|
||||
SUCH DAMAGES.
|
||||
|
||||
17. Interpretation of Sections 15 and 16.
|
||||
|
||||
If the disclaimer of warranty and limitation of liability provided
|
||||
above cannot be given local legal effect according to their terms,
|
||||
reviewing courts shall apply local law that most closely approximates
|
||||
an absolute waiver of all civil liability in connection with the
|
||||
Program, unless a warranty or assumption of liability accompanies a
|
||||
copy of the Program in return for a fee.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
@@ -287,15 +628,15 @@ free software which everyone can redistribute and change under these terms.
|
||||
|
||||
To do so, attach the following notices to the program. It is safest
|
||||
to attach them to the start of each source file to most effectively
|
||||
convey the exclusion of warranty; and each file should have at least
|
||||
state the exclusion of warranty; and each file should have at least
|
||||
the "copyright" line and a pointer to where the full notice is found.
|
||||
|
||||
{description}
|
||||
Copyright (C) {year} {fullname}
|
||||
<one line to give the program's name and a brief idea of what it does.>
|
||||
Copyright (C) <year> <name of author>
|
||||
|
||||
This program is free software; you can redistribute it and/or modify
|
||||
This program is free software: you can redistribute it and/or modify
|
||||
it under the terms of the GNU General Public License as published by
|
||||
the Free Software Foundation; either version 2 of the License, or
|
||||
the Free Software Foundation, either version 3 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
This program is distributed in the hope that it will be useful,
|
||||
@@ -303,37 +644,31 @@ the "copyright" line and a pointer to where the full notice is found.
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License along
|
||||
with this program; if not, write to the Free Software Foundation, Inc.,
|
||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
|
||||
You should have received a copy of the GNU General Public License
|
||||
along with this program. If not, see <https://www.gnu.org/licenses/>.
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
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||||
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||||
If the program is interactive, make it output a short notice like this
|
||||
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||||
If the program does terminal interaction, make it output a short
|
||||
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|
||||
|
||||
Gnomovision version 69, Copyright (C) year name of author
|
||||
Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
||||
<program> Copyright (C) <year> <name of author>
|
||||
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
||||
This is free software, and you are welcome to redistribute it
|
||||
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|
||||
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
You should also get your employer (if you work as a programmer) or your
|
||||
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|
||||
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|
||||
You should also get your employer (if you work as a programmer) or school,
|
||||
if any, to sign a "copyright disclaimer" for the program, if necessary.
|
||||
For more information on this, and how to apply and follow the GNU GPL, see
|
||||
<https://www.gnu.org/licenses/>.
|
||||
|
||||
Yoyodyne, Inc., hereby disclaims all copyright interest in the program
|
||||
`Gnomovision' (which makes passes at compilers) written by James Hacker.
|
||||
|
||||
{signature of Ty Coon}, 1 April 1989
|
||||
Ty Coon, President of Vice
|
||||
|
||||
This General Public License does not permit incorporating your program into
|
||||
proprietary programs. If your program is a subroutine library, you may
|
||||
consider it more useful to permit linking proprietary applications with the
|
||||
library. If this is what you want to do, use the GNU Lesser General
|
||||
Public License instead of this License.
|
||||
The GNU General Public License does not permit incorporating your program
|
||||
into proprietary programs. If your program is a subroutine library, you
|
||||
may consider it more useful to permit linking proprietary applications with
|
||||
the library. If this is what you want to do, use the GNU Lesser General
|
||||
Public License instead of this License. But first, please read
|
||||
<https://www.gnu.org/licenses/why-not-lgpl.html>.
|
||||
|
||||
1
MANIFEST.in
Normal file
@@ -0,0 +1 @@
|
||||
recursive-include freecad/gears/icons *
|
||||
103
README.md
@@ -1,14 +1,97 @@
|
||||
a gearmodule for freecad
|
||||
## A Gear module for FreeCAD
|
||||
[](https://liberapay.com/looooo/donate) [](https://lgtm.com/projects/g/looooo/freecad.gears/alerts/) [](https://lgtm.com/projects/g/looooo/freecad.gears/context:python)
|
||||
|
||||
## Requirements
|
||||
FreeCAD > v0.16
|
||||
__python > 3 (for python2 use branch py2)__
|
||||
|
||||
|
||||
## Supported gear-types
|
||||
|
||||
### Cylindric Involute
|
||||
* Shifting
|
||||
* Helical
|
||||
* Double Helical
|
||||
* Undercut
|
||||
|
||||

|
||||
|
||||
|
||||
### Involute Rack
|
||||

|
||||
|
||||
### Cylindric Cycloid
|
||||
* Helical
|
||||
* Double Helical
|
||||
|
||||

|
||||
|
||||
### Spherical Involute Bevel-Gear
|
||||
* Spiral
|
||||
|
||||

|
||||
|
||||
### Crown-Gear
|
||||

|
||||
|
||||
### Worm-Gear
|
||||

|
||||
|
||||
### Timing-Gear
|
||||

|
||||
|
||||
### Lantern-Gear
|
||||

|
||||
|
||||
---------------------------
|
||||
|
||||
* install:
|
||||
* git clone https://github.com/looooo/FCGear.git
|
||||
* link or copy the FCgear/gear into /freecad/Mod (sudo ln -s (path_to_FCGear)/gear (path_to_freecad)/Mod
|
||||
## Installation
|
||||
|
||||
### Addon Manager
|
||||
Starting from v0.17 it's possible to use the built-in FreeCAD [Addon Manager](https://github.com/FreeCAD/FreeCAD-addons#1-builtin-addon-manager)
|
||||
located in the `Tools` > `Addon Manager` dropdown menu.
|
||||
|
||||
* create a gear:
|
||||
* open freecad
|
||||
* go to the gear workbench
|
||||
* create new document
|
||||
* create a gear (click on gear symbol)
|
||||
* change parameters
|
||||
### pip
|
||||
|
||||
`pip install https://github.com/looooo/FCGear/archive/master.tar.gz`
|
||||
|
||||
**Important note:** Most systems have multiple versions of python installed. Make sure the `pip` you're using is used by FreeCAD as well.
|
||||
|
||||
## Usage
|
||||
|
||||
### Create a gear manually
|
||||
* Open freecad
|
||||
* Switch to the gear workbench
|
||||
* Create new document
|
||||
* Create a gear (click on a gear symbol in the toolbar)
|
||||
* Change the gear parameters
|
||||
|
||||
## Scripted gears
|
||||
Use the power of python to automate your gear modeling:
|
||||
|
||||
```python
|
||||
import FreeCAD as App
|
||||
import freecad.gears.commands
|
||||
gear = freecad.gears.commands.CreateInvoluteGear.create()
|
||||
gear.teeth = 20
|
||||
gear.beta = 20
|
||||
gear.height = 10
|
||||
gear.double_helix = True
|
||||
App.ActiveDocument.recompute()
|
||||
Gui.SendMsgToActiveView("ViewFit")
|
||||
```
|
||||
|
||||
## References
|
||||
* Elements of Metric Gear Technology ([PDF](http://qtcgears.com/tools/catalogs/PDF_Q420/Tech.pdf))
|
||||
|
||||
### FreeCAD Forum threads
|
||||
These are forum threads where FreeCAD Gears has been discussed. If you want to give Feedback
|
||||
or report a bug please use the below threads. Please make sure that the report hasn't been reported already
|
||||
by browsing this repositories [issue queue](https://github.com/looooo/freecad.gears/issues).
|
||||
* "CONTINUED: involute gear generator preview !" ([thread](https://forum.freecadweb.org/viewtopic.php?f=10&t=4829))
|
||||
* "Bevel gear - module/script/tutorial" ([thread](https://forum.freecadweb.org/viewtopic.php?f=3&t=12878))
|
||||
* "Gears in FreeCAD: FC Gear" ([thread](https://forum.freecadweb.org/viewtopic.php?f=24&t=27381))
|
||||
* "FC Gears: Feedback thread" ([thread](https://forum.freecadweb.org/viewtopic.php?f=8&t=27626))
|
||||
|
||||
# License
|
||||
GNU General Public License v3.0
|
||||
|
||||
BIN
docs/crown-gear.pdf
Normal file
BIN
docs/latern-gear.pdf
Normal file
BIN
docs/timing-gear.pdf
Normal file
BIN
examples/animated_spiral.gif
Normal file
|
After Width: | Height: | Size: 205 KiB |
29
examples/animation.py
Normal file
@@ -0,0 +1,29 @@
|
||||
# script for bevel-gear animation
|
||||
|
||||
from PySide import QtCore
|
||||
import FreeCAD as app
|
||||
import FreeCADGui as gui
|
||||
import numpy as np
|
||||
|
||||
doc = app.ActiveDocument
|
||||
g2 = doc.Common
|
||||
g1 = doc.Common001
|
||||
|
||||
timer = QtCore.QTimer()
|
||||
|
||||
def make_pics():
|
||||
n = 30
|
||||
for i in range(n):
|
||||
phi = np.pi * 2 / 30 / n
|
||||
g1.Placement.Rotation.Angle += phi * 2
|
||||
g2.Placement.Rotation.Angle -= phi
|
||||
gui.activeDocument().activeView().saveImage('/home/lo/Schreibtisch/animated_gear/gear_{}.png'.format(i) ,300,300,'Current')
|
||||
|
||||
def update(*args):
|
||||
print("time")
|
||||
delta_phi = 0.005
|
||||
g1.Placement.Rotation.Angle += delta_phi * 2
|
||||
g2.Placement.Rotation.Angle -= delta_phi
|
||||
|
||||
timer.timeout.connect(update)
|
||||
timer.start()
|
||||
BIN
examples/bevel-gear.png
Normal file
|
After Width: | Height: | Size: 73 KiB |
BIN
examples/bevel_gear_animation.fcstd
Normal file
BIN
examples/bevel_gear_animation.fcstd1
Normal file
BIN
examples/bevel_gear_example.fcstd
Normal file
BIN
examples/bevel_gear_example.fcstd1
Normal file
BIN
examples/bicycle_chainring.FCStd
Normal file
BIN
examples/bicycle_chainring.FCStd1
Normal file
BIN
examples/crown-gear.png
Normal file
|
After Width: | Height: | Size: 90 KiB |
BIN
examples/cycloid-gear.png
Normal file
|
After Width: | Height: | Size: 160 KiB |
BIN
examples/gear_from_picture.fcstd
Normal file
BIN
examples/gear_from_picture.fcstd1
Normal file
BIN
examples/involute-double-helical-gear.png
Normal file
|
After Width: | Height: | Size: 108 KiB |
BIN
examples/involute-rack.png
Normal file
|
After Width: | Height: | Size: 45 KiB |
BIN
examples/lantern-gear.png
Normal file
|
After Width: | Height: | Size: 68 KiB |
BIN
examples/spiral.png
Normal file
|
After Width: | Height: | Size: 82 KiB |
BIN
examples/timing-gear.png
Normal file
|
After Width: | Height: | Size: 99 KiB |
BIN
examples/timing_gear_example.FCStd
Normal file
BIN
examples/worm-gear.png
Normal file
|
After Width: | Height: | Size: 178 KiB |
23
freecad/gears/__init__.py
Normal file
@@ -0,0 +1,23 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
||||
# * *
|
||||
# * This program is free software; you can redistribute it and/or modify *
|
||||
# * it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
# * as published by the Free Software Foundation; either version 2 of *
|
||||
# * the License, or (at your option) any later version. *
|
||||
# * for detail see the LICENCE text file. *
|
||||
# * *
|
||||
# * This program is distributed in the hope that it will be useful, *
|
||||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
# * GNU Library General Public License for more details. *
|
||||
# * *
|
||||
# * You should have received a copy of the GNU Library General Public *
|
||||
# * License along with this program; if not, write to the Free Software *
|
||||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
# * USA *
|
||||
# * *
|
||||
# ***************************************************************************
|
||||
|
||||
import pygears
|
||||
__version__ = pygears.__version__
|
||||
150
freecad/gears/commands.py
Normal file
@@ -0,0 +1,150 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
||||
# * *
|
||||
# * This program is free software; you can redistribute it and/or modify *
|
||||
# * it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
# * as published by the Free Software Foundation; either version 2 of *
|
||||
# * the License, or (at your option) any later version. *
|
||||
# * for detail see the LICENCE text file. *
|
||||
# * *
|
||||
# * This program is distributed in the hope that it will be useful, *
|
||||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
# * GNU Library General Public License for more details. *
|
||||
# * *
|
||||
# * You should have received a copy of the GNU Library General Public *
|
||||
# * License along with this program; if not, write to the Free Software *
|
||||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
# * USA *
|
||||
# * *
|
||||
# ***************************************************************************
|
||||
|
||||
import os
|
||||
import FreeCAD
|
||||
import FreeCADGui as Gui
|
||||
from .features import ViewProviderGear, InvoluteGear, InvoluteGearRack
|
||||
from .features import CycloidGear, BevelGear, CrownGear, WormGear, TimingGear, LanternGear, HypoCycloidGear
|
||||
|
||||
|
||||
class BaseCommand(object):
|
||||
NAME = ""
|
||||
GEAR_FUNCTION = None
|
||||
ICONDIR = os.path.join(os.path.dirname(__file__), "icons")
|
||||
|
||||
def __init__(self):
|
||||
pass
|
||||
|
||||
def IsActive(self):
|
||||
if FreeCAD.ActiveDocument is None:
|
||||
return False
|
||||
else:
|
||||
return True
|
||||
|
||||
def Activated(self):
|
||||
doc = FreeCAD.ActiveDocument
|
||||
Gui.doCommandGui("import freecad.gears.commands")
|
||||
doc.openTransaction(self.ToolTip)
|
||||
Gui.doCommandGui("freecad.gears.commands.{}.create()".format(
|
||||
self.__class__.__name__))
|
||||
doc.commitTransaction()
|
||||
doc.recompute()
|
||||
Gui.SendMsgToActiveView("ViewFit")
|
||||
|
||||
@classmethod
|
||||
def create(cls):
|
||||
if FreeCAD.GuiUp:
|
||||
# borrowed from threaded profiles
|
||||
# puts the gear into an active container
|
||||
body = Gui.ActiveDocument.ActiveView.getActiveObject("pdbody")
|
||||
part = Gui.ActiveDocument.ActiveView.getActiveObject("part")
|
||||
|
||||
if body:
|
||||
obj = FreeCAD.ActiveDocument.addObject("PartDesign::FeaturePython", cls.NAME)
|
||||
else:
|
||||
obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
|
||||
ViewProviderGear(obj.ViewObject)
|
||||
cls.GEAR_FUNCTION(obj)
|
||||
|
||||
if body:
|
||||
body.addObject(obj)
|
||||
elif part:
|
||||
part.Group += [obj]
|
||||
else:
|
||||
obj = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", cls.NAME)
|
||||
cls.GEAR_FUNCTION(obj)
|
||||
return obj
|
||||
|
||||
def GetResources(self):
|
||||
return {'Pixmap': self.Pixmap,
|
||||
'MenuText': self.MenuText,
|
||||
'ToolTip': self.ToolTip}
|
||||
|
||||
|
||||
class CreateInvoluteGear(BaseCommand):
|
||||
NAME = "involutegear"
|
||||
GEAR_FUNCTION = InvoluteGear
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'involutegear.svg')
|
||||
MenuText = 'Involute gear'
|
||||
ToolTip = 'Create an Involute gear'
|
||||
|
||||
|
||||
class CreateInvoluteRack(BaseCommand):
|
||||
NAME = "involuterack"
|
||||
GEAR_FUNCTION = InvoluteGearRack
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'involuterack.svg')
|
||||
MenuText = 'Involute rack'
|
||||
ToolTip = 'Create an Involute rack'
|
||||
|
||||
|
||||
class CreateCrownGear(BaseCommand):
|
||||
NAME = "crowngear"
|
||||
GEAR_FUNCTION = CrownGear
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'crowngear.svg')
|
||||
MenuText = 'Crown gear'
|
||||
ToolTip = 'Create a Crown gear'
|
||||
|
||||
|
||||
class CreateCycloidGear(BaseCommand):
|
||||
NAME = "cycloidgear"
|
||||
GEAR_FUNCTION = CycloidGear
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'cycloidgear.svg')
|
||||
MenuText = 'Cycloid gear'
|
||||
ToolTip = 'Create a Cycloid gear'
|
||||
|
||||
|
||||
class CreateBevelGear(BaseCommand):
|
||||
NAME = "bevelgear"
|
||||
GEAR_FUNCTION = BevelGear
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'bevelgear.svg')
|
||||
MenuText = 'Bevel gear'
|
||||
ToolTip = 'Create a Bevel gear'
|
||||
|
||||
class CreateHypoCycloidGear(BaseCommand):
|
||||
NAME = "hypocycloidgear"
|
||||
GEAR_FUNCTION = HypoCycloidGear
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'hypocycloidgear.svg')
|
||||
MenuText = 'HypoCycloid gear'
|
||||
ToolTip = 'Create a HypoCycloid gear with its pins'
|
||||
|
||||
|
||||
class CreateWormGear(BaseCommand):
|
||||
NAME = "wormgear"
|
||||
GEAR_FUNCTION = WormGear
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'wormgear.svg')
|
||||
MenuText = 'Worm gear'
|
||||
ToolTip = 'Create a Worm gear'
|
||||
|
||||
|
||||
class CreateTimingGear(BaseCommand):
|
||||
NAME = "timinggear"
|
||||
GEAR_FUNCTION = TimingGear
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'timinggear.svg')
|
||||
MenuText = 'Timing gear'
|
||||
ToolTip = 'Create a Timing gear'
|
||||
|
||||
class CreateLanternGear(BaseCommand):
|
||||
NAME = "lanterngear"
|
||||
GEAR_FUNCTION = LanternGear
|
||||
Pixmap = os.path.join(BaseCommand.ICONDIR, 'lanterngear.svg')
|
||||
MenuText = 'Lantern gear'
|
||||
ToolTip = 'Create a Lantern gear'
|
||||
1277
freecad/gears/features.py
Normal file
362
freecad/gears/icons/bevelgear.svg
Normal file
|
After Width: | Height: | Size: 15 KiB |
597
freecad/gears/icons/crowngear.svg
Normal file
|
After Width: | Height: | Size: 21 KiB |
@@ -15,7 +15,7 @@
|
||||
id="svg3799"
|
||||
version="1.1"
|
||||
inkscape:version="0.48.4 r9939"
|
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sodipodi:docname="cycloidegear.svg">
|
||||
sodipodi:docname="cycloidgear.svg">
|
||||
<defs
|
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id="defs3801">
|
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<inkscape:path-effect
|
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|
Before Width: | Height: | Size: 15 KiB After Width: | Height: | Size: 15 KiB |
|
Before Width: | Height: | Size: 145 KiB After Width: | Height: | Size: 145 KiB |
96
freecad/gears/icons/hypocycloidgear.svg
Normal file
|
After Width: | Height: | Size: 58 KiB |
@@ -15,7 +15,7 @@
|
||||
id="svg3799"
|
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version="1.1"
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<defs
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|
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<inkscape:path-effect
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|
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591
freecad/gears/icons/involuterack.svg
Normal file
|
After Width: | Height: | Size: 21 KiB |
379
freecad/gears/icons/lanterngear.svg
Normal file
|
After Width: | Height: | Size: 26 KiB |
384
freecad/gears/icons/timinggear.svg
Normal file
@@ -0,0 +1,384 @@
|
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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|
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|
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81
freecad/gears/init_gui.py
Normal file
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|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
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# * *
|
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|
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|
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|
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|
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|
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# * *
|
||||
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|
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|
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|
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|
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|
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|
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|
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# ***************************************************************************
|
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|
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import FreeCAD as App
|
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__dirname__ = os.path.dirname(__file__)
|
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|
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try:
|
||||
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|
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except ImportError as e:
|
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|
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|
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|
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|
||||
|
||||
|
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class GearWorkbench(Workbench):
|
||||
"""glider workbench"""
|
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MenuText = "Gear"
|
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ToolTip = "Gear Workbench"
|
||||
Icon = os.path.join(__dirname__, 'icons', 'gearworkbench.svg')
|
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commands = [
|
||||
"CreateInvoluteGear",
|
||||
"CreateInvoluteRack",
|
||||
"CreateCycloidGear",
|
||||
"CreateBevelGear",
|
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"CreateCrownGear",
|
||||
"CreateWormGear",
|
||||
"CreateTimingGear",
|
||||
"CreateLanternGear",
|
||||
"CreateHypoCycloidGear"]
|
||||
|
||||
def GetClassName(self):
|
||||
return "Gui::PythonWorkbench"
|
||||
|
||||
def Initialize(self):
|
||||
from .commands import CreateCycloidGear, CreateInvoluteGear
|
||||
from .commands import CreateBevelGear, CreateInvoluteRack, CreateCrownGear
|
||||
from .commands import CreateWormGear, CreateTimingGear, CreateLanternGear
|
||||
from .commands import CreateHypoCycloidGear
|
||||
|
||||
self.appendToolbar("Gear", self.commands)
|
||||
self.appendMenu("Gear", self.commands)
|
||||
# Gui.addIconPath(App.getHomePath()+"Mod/gear/icons/")
|
||||
Gui.addCommand('CreateInvoluteGear', CreateInvoluteGear())
|
||||
Gui.addCommand('CreateCycloidGear', CreateCycloidGear())
|
||||
Gui.addCommand('CreateBevelGear', CreateBevelGear())
|
||||
Gui.addCommand('CreateInvoluteRack', CreateInvoluteRack())
|
||||
Gui.addCommand('CreateCrownGear', CreateCrownGear())
|
||||
Gui.addCommand('CreateWormGear', CreateWormGear())
|
||||
Gui.addCommand('CreateTimingGear', CreateTimingGear())
|
||||
Gui.addCommand('CreateLanternGear', CreateLanternGear())
|
||||
Gui.addCommand('CreateHypoCycloidGear', CreateHypoCycloidGear())
|
||||
|
||||
def Activated(self):
|
||||
pass
|
||||
|
||||
def Deactivated(self):
|
||||
pass
|
||||
|
||||
|
||||
Gui.addWorkbench(GearWorkbench())
|
||||
@@ -1,54 +0,0 @@
|
||||
#***************************************************************************
|
||||
#* *
|
||||
#* This program is free software; you can redistribute it and/or modify *
|
||||
#* it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
#* as published by the Free Software Foundation; either version 2 of *
|
||||
#* the License, or (at your option) any later version. *
|
||||
#* for detail see the LICENCE text file. *
|
||||
#* *
|
||||
#* This program is distributed in the hope that it will be useful, *
|
||||
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
#* GNU Library General Public License for more details. *
|
||||
#* *
|
||||
#* You should have received a copy of the GNU Library General Public *
|
||||
#* License along with this program; if not, write to the Free Software *
|
||||
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
#* USA *
|
||||
#* *
|
||||
#***************************************************************************
|
||||
|
||||
import FreeCADGui as Gui
|
||||
import FreeCAD
|
||||
import gear_rc
|
||||
|
||||
|
||||
class gearWorkbench(Workbench):
|
||||
"""glider workbench"""
|
||||
MenuText = "gear"
|
||||
ToolTip = "gear workbench"
|
||||
Icon = "gearworkbench.svg"
|
||||
|
||||
def GetClassName(self):
|
||||
return "Gui::PythonWorkbench"
|
||||
|
||||
def Initialize(self):
|
||||
|
||||
from gearfunc import CreateCycloideGear, CreateInvoluteGear, CreateBevelGear, CreateInvoluteRack
|
||||
|
||||
self.appendToolbar("Gear", ["CreateInvoluteGear", "CreateInvoluteRack", "CreateCycloideGear", "CreateBevelGear"])
|
||||
self.appendMenu("Gear", ["CreateInvoluteGear", "CreateInvoluteRack", "CreateCycloideGear","CreateBevelGear"])
|
||||
Gui.addIconPath(FreeCAD.getHomePath()+"Mod/gear/icons/")
|
||||
Gui.addCommand('CreateInvoluteGear', CreateInvoluteGear())
|
||||
Gui.addCommand('CreateCycloideGear', CreateCycloideGear())
|
||||
Gui.addCommand('CreateBevelGear', CreateBevelGear())
|
||||
Gui.addCommand('CreateInvoluteRack', CreateInvoluteRack())
|
||||
|
||||
def Activated(self):
|
||||
pass
|
||||
|
||||
|
||||
def Deactivated(self):
|
||||
pass
|
||||
|
||||
Gui.addWorkbench(gearWorkbench())
|
||||
@@ -1,9 +0,0 @@
|
||||
<RCC>
|
||||
<qresource>
|
||||
<file>icons/gearworkbench.svg</file>
|
||||
<file>icons/involutegear.svg</file>
|
||||
<file>icons/cycloidegear.svg</file>
|
||||
<file>icons/involuterack.svg</file>
|
||||
<file>icons/bevelgear.svg</file>
|
||||
</qresource>
|
||||
</RCC>
|
||||
@@ -1,7 +0,0 @@
|
||||
<RCC>
|
||||
<qresource>
|
||||
<file>icons/gearworkbench.svg</file>
|
||||
<file>icons/involutegear.svg</file>
|
||||
<file>icons/cycloidegear.svg</file>
|
||||
</qresource>
|
||||
</RCC>
|
||||
|
Before Width: | Height: | Size: 44 KiB |
@@ -1,20 +0,0 @@
|
||||
#!/usr/lib/python
|
||||
|
||||
from gearfunc._involute_tooth import involute_rack, involute_tooth
|
||||
from gearfunc._cycloide_tooth import cycloide_tooth
|
||||
from gearfunc._bevel_tooth import bevel_tooth
|
||||
from gearfunc import CreateInvoluteRack, CreateCycloideGear, CreateInvoluteGear, CreateBevelGear
|
||||
|
||||
from tests import bspline_surf
|
||||
|
||||
|
||||
__All__ = [
|
||||
"CreateInvoluteRack",
|
||||
"CreateCycloideGear",
|
||||
"CreateInvoluteGear",
|
||||
"CreateBevelGear",
|
||||
"involute_rack",
|
||||
"involute_tooth",
|
||||
"bevel_tooth"
|
||||
]
|
||||
|
||||
12892
gear/gear_rc.py
@@ -1,445 +0,0 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
#***************************************************************************
|
||||
#* *
|
||||
#* This program is free software; you can redistribute it and/or modify *
|
||||
#* it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
#* as published by the Free Software Foundation; either version 2 of *
|
||||
#* the License, or (at your option) any later version. *
|
||||
#* for detail see the LICENCE text file. *
|
||||
#* *
|
||||
#* This program is distributed in the hope that it will be useful, *
|
||||
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
#* GNU Library General Public License for more details. *
|
||||
#* *
|
||||
#* You should have received a copy of the GNU Library General Public *
|
||||
#* License along with this program; if not, write to the Free Software *
|
||||
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
#* USA *
|
||||
#* *
|
||||
#***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
import FreeCAD as App
|
||||
from _involute_tooth import involute_tooth, involute_rack
|
||||
from _cycloide_tooth import cycloide_tooth
|
||||
from _bevel_tooth import bevel_tooth
|
||||
from Part import BSplineCurve, Shape, Wire, Face, makePolygon, \
|
||||
BRepOffsetAPI, Shell, makeLoft, Solid, Line, BSplineSurface, Compound,\
|
||||
show, makePolygon, makeLoft, makeHelix
|
||||
import Part
|
||||
from _functions import rotation3D
|
||||
from numpy import pi, cos, sin, tan
|
||||
|
||||
import numpy
|
||||
|
||||
|
||||
def fcvec(x):
|
||||
if len(x) == 2:
|
||||
return(App.Vector(x[0], x[1], 0))
|
||||
else:
|
||||
return(App.Vector(x[0], x[1], x[2]))
|
||||
|
||||
|
||||
class involute_gear():
|
||||
|
||||
"""FreeCAD gear"""
|
||||
|
||||
def __init__(self, obj):
|
||||
self.involute_tooth = involute_tooth()
|
||||
obj.addProperty(
|
||||
"App::PropertyBool", "simple", "gear_parameter", "simple")
|
||||
obj.addProperty("App::PropertyInteger",
|
||||
"teeth", "gear_parameter", "number of teeth")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "module", "gear_parameter", "module")
|
||||
obj.addProperty(
|
||||
"App::PropertyBool", "undercut", "gear_parameter", "undercut")
|
||||
obj.addProperty(
|
||||
"App::PropertyFloat", "shift", "gear_parameter", "shift")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "height", "gear_parameter", "height")
|
||||
obj.addProperty(
|
||||
"App::PropertyAngle", "alpha", "involute_parameter", "alpha")
|
||||
obj.addProperty(
|
||||
"App::PropertyFloat", "clearence", "gear_parameter", "clearence")
|
||||
obj.addProperty("App::PropertyInteger", "numpoints",
|
||||
"gear_parameter", "number of points for spline")
|
||||
obj.addProperty(
|
||||
"App::PropertyAngle", "beta", "gear_parameter", "beta ")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "backlash", "gear_parameter", "backlash in mm")
|
||||
obj.addProperty("App::PropertyPythonObject", "gear", "test", "test")
|
||||
obj.gear = self.involute_tooth
|
||||
obj.simple = False
|
||||
obj.undercut = False
|
||||
obj.teeth = 15
|
||||
obj.module = '1. mm'
|
||||
obj.shift = 0.
|
||||
obj.alpha = '20. deg'
|
||||
obj.beta = '0. deg'
|
||||
obj.height = '5. mm'
|
||||
obj.clearence = 0.25
|
||||
obj.numpoints = 6
|
||||
obj.backlash = '0.00 mm'
|
||||
self.obj = obj
|
||||
obj.Proxy = self
|
||||
|
||||
def execute(self, fp):
|
||||
fp.gear.m_n = fp.module.Value
|
||||
fp.gear.z = fp.teeth
|
||||
fp.gear.undercut = fp.undercut
|
||||
fp.gear.shift = fp.shift
|
||||
fp.gear.alpha = fp.alpha.Value * pi / 180.
|
||||
fp.gear.beta = fp.beta.Value * pi / 180
|
||||
fp.gear.clearence = fp.clearence
|
||||
fp.gear.backlash = fp.backlash.Value
|
||||
fp.gear._update()
|
||||
pts = fp.gear.points(num=fp.numpoints)
|
||||
if not fp.simple:
|
||||
wi = []
|
||||
for i in pts:
|
||||
out = BSplineCurve()
|
||||
out.interpolate(map(fcvec, i))
|
||||
wi.append(out)
|
||||
s = Wire(Shape(wi).Edges)
|
||||
wi = []
|
||||
for i in range(fp.gear.z):
|
||||
rot = App.Matrix()
|
||||
rot.rotateZ(-i * fp.gear.phipart)
|
||||
tooth_rot = s.transformGeometry(rot)
|
||||
if i != 0:
|
||||
pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
|
||||
pt_1 = tooth_rot.Edges[0].Vertexes[-1].Point
|
||||
wi.append(Wire([Line(pt_0, pt_1).toShape()]))
|
||||
wi.append(tooth_rot)
|
||||
pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
|
||||
pt_1 = wi[0].Edges[0].Vertexes[-1].Point
|
||||
wi.append(Wire([Line(pt_0, pt_1).toShape()]))
|
||||
|
||||
wi = Wire(wi)
|
||||
fp.Shape = wi
|
||||
if fp.beta.Value == 0:
|
||||
sh = Face(wi)
|
||||
fp.Shape = sh.extrude(App.Vector(0, 0, fp.height.Value))
|
||||
else:
|
||||
fp.Shape = helicalextrusion(
|
||||
wi, fp.height.Value, fp.height.Value * tan(fp.gear.beta) * 2 / fp.gear.d)
|
||||
else:
|
||||
rw = fp.gear.dw / 2
|
||||
circle = Part.Circle(App.Vector(0, 0, 0), App.Vector(0, 0, 1), rw)
|
||||
wire = Part.Wire(circle.toShape())
|
||||
face = Part.Face(wire)
|
||||
fp.Shape = face.extrude(App.Vector(0, 0, fp.height.Value))
|
||||
|
||||
def __getstate__(self):
|
||||
return None
|
||||
|
||||
def __setstate__(self, state):
|
||||
return None
|
||||
|
||||
|
||||
class involute_gear_rack():
|
||||
|
||||
"""FreeCAD gear rack"""
|
||||
|
||||
def __init__(self, obj):
|
||||
self.involute_rack = involute_rack()
|
||||
obj.addProperty("App::PropertyInteger",
|
||||
"teeth", "gear_parameter", "number of teeth")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "module", "gear_parameter", "module")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "height", "gear_parameter", "height")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "thickness", "gear_parameter", "thickness")
|
||||
obj.addProperty(
|
||||
"App::PropertyAngle", "alpha", "involute_parameter", "alpha")
|
||||
obj.addProperty("App::PropertyPythonObject", "rack", "test", "test")
|
||||
obj.rack = self.involute_rack
|
||||
obj.teeth = 15
|
||||
obj.module = '1. mm'
|
||||
obj.alpha = '20. deg'
|
||||
obj.height = '5. mm'
|
||||
obj.thickness = '5 mm'
|
||||
self.obj = obj
|
||||
obj.Proxy = self
|
||||
|
||||
def execute(self, fp):
|
||||
fp.rack.m = fp.module.Value
|
||||
fp.rack.z = fp.teeth
|
||||
fp.rack.alpha = fp.alpha.Value * pi / 180.
|
||||
fp.rack.thickness = fp.thickness.Value
|
||||
fp.rack._update()
|
||||
pts = fp.rack.points()
|
||||
pol = Wire(makePolygon(map(fcvec, pts)))
|
||||
fp.Shape = Face(Wire(pol)).extrude(fcvec([0., 0., fp.height]))
|
||||
|
||||
def __getstate__(self):
|
||||
return None
|
||||
|
||||
def __setstate__(self, state):
|
||||
return None
|
||||
|
||||
|
||||
class cycloide_gear():
|
||||
|
||||
"""FreeCAD gear"""
|
||||
|
||||
def __init__(self, obj):
|
||||
self.cycloide_tooth = cycloide_tooth()
|
||||
obj.addProperty("App::PropertyInteger",
|
||||
"teeth", "gear_parameter", "number of teeth")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "module", "gear_parameter", "module")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "inner_diameter", "cycloid_parameter", "inner_diameter")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "outer_diameter", "cycloid_parameter", "outer_diameter")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "height", "gear_parameter", "height")
|
||||
obj.addProperty(
|
||||
"App::PropertyFloat", "clearence", "gear_parameter", "clearence")
|
||||
obj.addProperty("App::PropertyInteger", "numpoints",
|
||||
"gear_parameter", "number of points for spline")
|
||||
obj.addProperty("App::PropertyAngle", "beta", "gear_parameter", "beta")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "backlash", "gear_parameter", "backlash in mm")
|
||||
obj.addProperty("App::PropertyPythonObject", "gear", "test", "test")
|
||||
obj.gear = self.cycloide_tooth
|
||||
obj.teeth = 15
|
||||
obj.module = '1. mm'
|
||||
obj.inner_diameter = '5 mm'
|
||||
obj.outer_diameter = '5 mm'
|
||||
obj.beta = '0. deg'
|
||||
obj.height = '5. mm'
|
||||
obj.clearence = 0.25
|
||||
obj.numpoints = 15
|
||||
obj.backlash = '0.00 mm'
|
||||
obj.Proxy = self
|
||||
|
||||
def execute(self, fp):
|
||||
pass
|
||||
fp.gear.m = fp.module.Value
|
||||
fp.gear.z = fp.teeth
|
||||
fp.gear.z1 = fp.inner_diameter.Value
|
||||
fp.gear.z2 = fp.outer_diameter.Value
|
||||
fp.gear.clearence = fp.clearence
|
||||
fp.gear.backlash = fp.backlash.Value
|
||||
fp.gear._update()
|
||||
pts = fp.gear.points(num=fp.numpoints)
|
||||
wi = []
|
||||
for i in pts:
|
||||
out = BSplineCurve()
|
||||
out.interpolate(map(fcvec, i))
|
||||
wi.append(out)
|
||||
s = Wire(Shape(wi).Edges)
|
||||
wi = []
|
||||
for i in range(fp.gear.z):
|
||||
rot = App.Matrix()
|
||||
rot.rotateZ(-i * fp.gear.phipart)
|
||||
tooth_rot = s.transformGeometry(rot)
|
||||
if i != 0:
|
||||
pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
|
||||
pt_1 = tooth_rot.Edges[0].Vertexes[-1].Point
|
||||
wi.append(Wire([Line(pt_0, pt_1).toShape()]))
|
||||
wi.append(tooth_rot)
|
||||
pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
|
||||
pt_1 = wi[0].Edges[0].Vertexes[-1].Point
|
||||
wi.append(Wire([Line(pt_0, pt_1).toShape()]))
|
||||
wi = Wire(wi)
|
||||
if fp.beta.Value == 0:
|
||||
sh = Face(wi)
|
||||
fp.Shape = sh.extrude(App.Vector(0, 0, fp.height.Value))
|
||||
else:
|
||||
pass
|
||||
fp.Shape = helicalextrusion(
|
||||
wi, fp.height.Value, fp.height.Value * tan(fp.beta.Value * pi / 180) * 2 / fp.gear.d)
|
||||
|
||||
def __getstate__(self):
|
||||
return None
|
||||
|
||||
def __setstate__(self, state):
|
||||
return None
|
||||
|
||||
|
||||
class bevel_gear():
|
||||
|
||||
"""parameters:
|
||||
alpha: pressureangle, 10-30°
|
||||
gamma: cone angle, 0 < gamma < pi/4
|
||||
"""
|
||||
|
||||
def __init__(self, obj):
|
||||
self.bevel_tooth = bevel_tooth()
|
||||
obj.addProperty("App::PropertyInteger",
|
||||
"teeth", "gear_parameter", "number of teeth")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "height", "gear_parameter", "height")
|
||||
obj.addProperty(
|
||||
"App::PropertyAngle", "gamma", "involute_parameter", "gamma")
|
||||
obj.addProperty(
|
||||
"App::PropertyAngle", "alpha", "involute_parameter", "alpha")
|
||||
obj.addProperty("App::PropertyLength", "m", "gear_parameter", "m")
|
||||
obj.addProperty(
|
||||
"App::PropertyFloat", "clearence", "gear_parameter", "clearence")
|
||||
obj.addProperty("App::PropertyInteger", "numpoints",
|
||||
"gear_parameter", "number of points for spline")
|
||||
obj.addProperty(
|
||||
"App::PropertyLength", "backlash", "gear_parameter", "backlash in mm")
|
||||
obj.addProperty("App::PropertyPythonObject", "gear", "test", "test")
|
||||
obj.gear = self.bevel_tooth
|
||||
obj.m = '1. mm'
|
||||
obj.teeth = 15
|
||||
obj.alpha = '70. deg'
|
||||
obj.gamma = '45. deg'
|
||||
obj.height = '5. mm'
|
||||
obj.numpoints = 6
|
||||
obj.backlash = '0.00 mm'
|
||||
obj.clearence = 0.1
|
||||
self.obj = obj
|
||||
obj.Proxy = self
|
||||
|
||||
def execute1(self, fp):
|
||||
fp.gear.z = fp.teeth
|
||||
fp.gear.alpha = fp.alpha.Value * pi / 180.
|
||||
fp.gear.gamma = fp.gamma.Value * pi / 180
|
||||
fp.gear.backlash = fp.backlash
|
||||
fp.gear._update()
|
||||
pts = fp.gear.points(num=fp.numpoints)
|
||||
tooth = self.create_tooth()
|
||||
teeth = [tooth]
|
||||
rot = App.Matrix()
|
||||
rot.rotateZ(2 * pi / fp.teeth)
|
||||
top_cap = [i.Edges[0] for i in tooth.Faces]
|
||||
bottom_cap = [i.Edges[3] for i in tooth.Faces]
|
||||
for i in range(fp.teeth - 1):
|
||||
new_tooth = teeth[-1].transformGeometry(rot)
|
||||
edge1 = new_tooth.Faces[0].Edges[2]
|
||||
edge2 = teeth[-1].Faces[-1].Edges[1]
|
||||
face1 = make_face(edge1, edge2)
|
||||
teeth.append(face1)
|
||||
teeth.append(new_tooth)
|
||||
top_cap.append(face1.Edges[3])
|
||||
bottom_cap.append(face1.Edges[1])
|
||||
top_cap += [i.Edges[0] for i in new_tooth.Faces]
|
||||
bottom_cap += [i.Edges[3] for i in new_tooth.Faces]
|
||||
edge1 = teeth[0].Faces[0].Edges[2]
|
||||
edge2 = teeth[-1].Faces[-1].Edges[1]
|
||||
face1 = make_face(edge1, edge2)
|
||||
teeth.append(face1)
|
||||
top_cap.append(face1.Edges[3])
|
||||
bottom_cap.append(face1.Edges[1])
|
||||
top_cap = Face(Wire(top_cap))
|
||||
bottom_cap = Face(Wire(bottom_cap))
|
||||
fcs = Compound(teeth).Faces
|
||||
top_cap.reverse()
|
||||
fp.Shape = Solid(Shell(fcs + [top_cap, bottom_cap]))
|
||||
|
||||
|
||||
def execute(self, fp):
|
||||
fp.gear.z = fp.teeth
|
||||
fp.gear.module = fp.m.Value
|
||||
fp.gear.alpha = fp.alpha.Value * pi / 180.
|
||||
fp.gear.gamma = fp.gamma.Value * pi / 180
|
||||
fp.gear.backlash = fp.backlash.Value
|
||||
fp.gear.clearence = fp.clearence
|
||||
fp.gear._update()
|
||||
pts = fp.gear.points(num=fp.numpoints)
|
||||
scal1 = fp.m.Value * fp.gear.z / 2 / tan(
|
||||
fp.gamma.Value * pi / 180) - fp.height.Value / 2
|
||||
scal2 = fp.m.Value * fp.gear.z / 2 / tan(
|
||||
fp.gamma.Value * pi / 180) + fp.height.Value / 2
|
||||
fp.Shape = makeLoft([self.createteeths(pts, scal1, fp.teeth), self.createteeths(pts, scal2, fp.teeth)], True)
|
||||
# fp.Shape = self.createteeths(pts, pos1, fp.teeth)
|
||||
|
||||
|
||||
def create_tooth(self):
|
||||
w = []
|
||||
scal1 = self.obj.m.Value * self.obj.gear.z / 2 / tan(
|
||||
self.obj.gamma.Value * pi / 180) - self.obj.height.Value / 2
|
||||
scal2 = self.obj.m.Value * self.obj.gear.z / 2 / tan(
|
||||
self.obj.gamma.Value * pi / 180) + self.obj.height.Value / 2
|
||||
s = [scal1, scal2]
|
||||
pts = self.obj.gear.points(num=self.obj.numpoints)
|
||||
for j, pos in enumerate(s):
|
||||
w1 = []
|
||||
scale = lambda x: fcvec(x * pos)
|
||||
for i in pts:
|
||||
i_scale = map(scale, i)
|
||||
w1.append(i_scale)
|
||||
w.append(w1)
|
||||
surfs = []
|
||||
w_t = zip(*w)
|
||||
for i in w_t:
|
||||
b = BSplineSurface()
|
||||
b.interpolate(i)
|
||||
surfs.append(b)
|
||||
return Shape(surfs)
|
||||
|
||||
def createteeths(self, pts, pos, teeth):
|
||||
w1 = []
|
||||
for i in pts:
|
||||
scale = lambda x: x * pos
|
||||
i_scale = map(scale, i)
|
||||
out = BSplineCurve()
|
||||
out.interpolate(map(fcvec, i_scale))
|
||||
w1.append(out)
|
||||
s = Wire(Shape(w1).Edges)
|
||||
wi = []
|
||||
for i in range(teeth):
|
||||
rot = App.Matrix()
|
||||
rot.rotateZ(2 * i * pi / teeth)
|
||||
tooth_rot = s.transformGeometry(rot)
|
||||
if i != 0:
|
||||
pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
|
||||
pt_1 = tooth_rot.Edges[0].Vertexes[-1].Point
|
||||
wi.append(Wire([Line(pt_0, pt_1).toShape()]))
|
||||
wi.append(tooth_rot)
|
||||
pt_0 = wi[-1].Edges[-1].Vertexes[0].Point
|
||||
pt_1 = wi[0].Edges[0].Vertexes[-1].Point
|
||||
wi.append(Wire([Line(pt_0, pt_1).toShape()]))
|
||||
return(Wire(wi))
|
||||
|
||||
def __getstate__(self):
|
||||
return None
|
||||
|
||||
def __setstate__(self, state):
|
||||
return None
|
||||
|
||||
|
||||
def helicalextrusion(wire, height, angle):
|
||||
face_a = Face(wire)
|
||||
face_b = face_a.copy()
|
||||
face_transform = App.Matrix()
|
||||
face_transform.rotateZ(angle)
|
||||
face_transform.move(App.Vector(0, 0, height))
|
||||
face_b . transformShape(face_transform)
|
||||
spine = Wire(Line(fcvec([0., 0, 0]), fcvec([0, 0, height])).toShape())
|
||||
auxspine = makeHelix(height * 2 * pi / angle, height, 1.)
|
||||
faces = [face_a, face_b]
|
||||
pipeshell = BRepOffsetAPI.MakePipeShell(spine)
|
||||
pipeshell.setSpineSupport(spine)
|
||||
pipeshell.add(wire)
|
||||
pipeshell.setAuxiliarySpine(auxspine, True, False)
|
||||
assert(pipeshell.isReady())
|
||||
pipeshell.build()
|
||||
faces.extend(pipeshell.shape().Faces)
|
||||
|
||||
fullshell = Shell(faces)
|
||||
solid = Solid(fullshell)
|
||||
if solid.Volume < 0:
|
||||
solid.reverse()
|
||||
assert(solid.Volume >= 0)
|
||||
return(solid)
|
||||
|
||||
def make_face(edge1, edge2):
|
||||
v1, v2 = edge1.Vertexes
|
||||
v3, v4 = edge2.Vertexes
|
||||
e1 = Wire(edge1)
|
||||
e2 = Line(v1.Point, v3.Point).toShape().Edges[0]
|
||||
e3 = edge2
|
||||
e4 = Line(v4.Point, v2.Point).toShape().Edges[0]
|
||||
w = Wire([e3, e4, e1, e2])
|
||||
return(Face(w))
|
||||
|
||||
@@ -1,108 +0,0 @@
|
||||
#***************************************************************************
|
||||
#* *
|
||||
#* This program is free software; you can redistribute it and/or modify *
|
||||
#* it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
#* as published by the Free Software Foundation; either version 2 of *
|
||||
#* the License, or (at your option) any later version. *
|
||||
#* for detail see the LICENCE text file. *
|
||||
#* *
|
||||
#* This program is distributed in the hope that it will be useful, *
|
||||
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
#* GNU Library General Public License for more details. *
|
||||
#* *
|
||||
#* You should have received a copy of the GNU Library General Public *
|
||||
#* License along with this program; if not, write to the Free Software *
|
||||
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
#* USA *
|
||||
#* *
|
||||
#***************************************************************************
|
||||
|
||||
|
||||
import FreeCAD
|
||||
import FreeCADGui as Gui
|
||||
from _Classes import involute_gear, cycloide_gear, bevel_gear, involute_gear_rack
|
||||
|
||||
|
||||
class CreateInvoluteGear():
|
||||
"""create an involute gear"""
|
||||
def __init__(self):
|
||||
pass
|
||||
|
||||
def GetResources(self):
|
||||
return {'Pixmap': 'involutegear.svg', 'MenuText': 'involute gear', 'ToolTip': 'involute gear'}
|
||||
|
||||
def IsActive(self):
|
||||
if FreeCAD.ActiveDocument is None:
|
||||
return False
|
||||
else:
|
||||
return True
|
||||
|
||||
def Activated(self):
|
||||
a = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", "involute_gear")
|
||||
involute_gear(a)
|
||||
a.ViewObject.Proxy = 0.
|
||||
FreeCAD.ActiveDocument.recompute()
|
||||
Gui.SendMsgToActiveView("ViewFit")
|
||||
|
||||
|
||||
class CreateInvoluteRack():
|
||||
def __init__(self):
|
||||
pass
|
||||
|
||||
def GetResources(self):
|
||||
return {'Pixmap': 'involuterack.svg', 'MenuText': 'involute rack', 'ToolTip': 'involute rack'}
|
||||
|
||||
def IsActive(self):
|
||||
if FreeCAD.ActiveDocument is None:
|
||||
return False
|
||||
else:
|
||||
return True
|
||||
|
||||
def Activated(self):
|
||||
a = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", "involute_rack")
|
||||
involute_gear_rack(a)
|
||||
a.ViewObject.Proxy = 0.
|
||||
FreeCAD.ActiveDocument.recompute()
|
||||
Gui.SendMsgToActiveView("ViewFit")
|
||||
|
||||
|
||||
class CreateCycloideGear():
|
||||
def __init__(self):
|
||||
pass
|
||||
|
||||
def GetResources(self):
|
||||
return {'Pixmap': 'cycloidegear.svg', 'MenuText': 'cycloide gear', 'ToolTip': 'cycloide gear'}
|
||||
|
||||
def IsActive(self):
|
||||
if FreeCAD.ActiveDocument is None:
|
||||
return False
|
||||
else:
|
||||
return True
|
||||
|
||||
def Activated(self):
|
||||
a = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", "cycloide_gear")
|
||||
cycloide_gear(a)
|
||||
a.ViewObject.Proxy = 0.
|
||||
FreeCAD.ActiveDocument.recompute()
|
||||
Gui.SendMsgToActiveView("ViewFit")
|
||||
|
||||
class CreateBevelGear():
|
||||
def __init__(self):
|
||||
pass
|
||||
|
||||
def GetResources(self):
|
||||
return {'Pixmap': 'bevelgear.svg', 'MenuText': 'bevel gear', 'ToolTip': 'bevel gear'}
|
||||
|
||||
def IsActive(self):
|
||||
if FreeCAD.ActiveDocument is None:
|
||||
return False
|
||||
else:
|
||||
return True
|
||||
|
||||
def Activated(self):
|
||||
a = FreeCAD.ActiveDocument.addObject("Part::FeaturePython", "bevel_gear")
|
||||
bevel_gear(a)
|
||||
a.ViewObject.Proxy = 0.
|
||||
FreeCAD.ActiveDocument.recompute()
|
||||
Gui.SendMsgToActiveView("ViewFit")
|
||||
@@ -1,168 +0,0 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
#***************************************************************************
|
||||
#* *
|
||||
#* This program is free software; you can redistribute it and/or modify *
|
||||
#* it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
#* as published by the Free Software Foundation; either version 2 of *
|
||||
#* the License, or (at your option) any later version. *
|
||||
#* for detail see the LICENCE text file. *
|
||||
#* *
|
||||
#* This program is distributed in the hope that it will be useful, *
|
||||
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
#* GNU Library General Public License for more details. *
|
||||
#* *
|
||||
#* You should have received a copy of the GNU Library General Public *
|
||||
#* License along with this program; if not, write to the Free Software *
|
||||
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
#* USA *
|
||||
#* *
|
||||
#***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
from __future__ import division
|
||||
from numpy import cos, sin, tan, arccos, arctan, pi, array, linspace, transpose, vstack, sqrt
|
||||
from _functions import rotation3D, reflection3D
|
||||
|
||||
|
||||
|
||||
class bevel_tooth(object):
|
||||
def __init__(self, alpha=70 * pi / 180, gamma=pi / 4, clearence=0.1,
|
||||
z=21, backlash=0.00, module=0.25):
|
||||
self.alpha = alpha
|
||||
self.gamma = gamma
|
||||
self.z = z
|
||||
self.clearence = clearence
|
||||
self.backlash = backlash
|
||||
self.module = module
|
||||
|
||||
self.involute_end = arccos(
|
||||
1 / sqrt(2) * sqrt((42. + 16.*cos(2.*self.alpha) +
|
||||
6.*cos(4.*self.alpha) + cos(4.*self.alpha - 4.*self.gamma) - 8.*cos(2.*self.alpha - 2.*self.gamma) -
|
||||
4.*cos(4.*self.alpha - 2.*self.gamma) + 24.*cos(2.*self.gamma) - 2.*cos(4.*self.gamma) -
|
||||
8.*cos(2.*(self.alpha + self.gamma)) + cos(4.*(self.alpha + self.gamma)) -
|
||||
4.*cos(4.*self.alpha + 2.*self.gamma) + 24.*cos((4.*sin(self.gamma))/self.z) +
|
||||
4.*cos(2.*self.alpha - (4.*sin(self.gamma))/self.z) + 4.*cos(2.*self.alpha -
|
||||
4.*self.gamma - (4.*sin(self.gamma))/self.z) - 8.*cos(2.*self.alpha - 2.*self.gamma -
|
||||
(4.*sin(self.gamma))/self.z) + 24.*cos(4.*(self.gamma + sin(self.gamma)/self.z)) -
|
||||
8.*cos(2.*(self.alpha + self.gamma + (2.*sin(self.gamma))/self.z)) + 4.*cos(2.*self.alpha +
|
||||
(4.*sin(self.gamma))/self.z) + 16.*cos(2.*self.gamma + (4.*sin(self.gamma))/self.z) +
|
||||
4.*cos(2.*self.alpha + 4.*self.gamma + (4.*sin(self.gamma))/self.z) + 32.*abs(cos(self.gamma +
|
||||
(2.*sin(self.gamma))/self.z))*cos(self.alpha)*sqrt(4.*cos(2.*self.alpha) -
|
||||
2.*(-2. + cos(2.*self.alpha - 2.*self.gamma) - 2.*cos(2.*self.gamma) + cos(2.*(self.alpha + self.gamma)) +
|
||||
4.*cos(2.*self.gamma + (4.*sin(self.gamma))/self.z)))*sin(2.*self.gamma))/(-6. - 2.*cos(2.*self.alpha) +
|
||||
cos(2.*self.alpha - 2.*self.gamma) - 2.*cos(2.*self.gamma) + cos(2.*(self.alpha + self.gamma)))**2))
|
||||
|
||||
self.involute_start = -pi/2. + \
|
||||
arctan(1/tan(self.gamma)*1/cos(self.alpha))
|
||||
self.involute_start_radius = self.getradius(self.involute_start)
|
||||
self.r_f = sin(self.gamma - sin(gamma) * 2 / self.z) - self.clearence * sin(self.gamma)
|
||||
self.z_f = cos(self.gamma - sin(gamma) * 2 / self.z)
|
||||
self.add_foot = True
|
||||
|
||||
if self.involute_start_radius < self.r_f:
|
||||
self.add_foot = False
|
||||
self.involute_start = -arccos(
|
||||
sqrt((42 + 16*cos(2*self.alpha) + 6*cos(4*self.alpha) -
|
||||
4*cos(4*self.alpha - 2*self.gamma) - 8*cos(2*(self.alpha - self.gamma)) +
|
||||
cos(4*(self.alpha - self.gamma)) + 24*cos(2*self.gamma) - 2*cos(4*self.gamma) -
|
||||
8*cos(2*(self.alpha + self.gamma)) + cos(4*(self.alpha + self.gamma)) -
|
||||
4*cos(2*(2*self.alpha + self.gamma)) + 24*cos((4*sin(self.gamma))/self.z) +
|
||||
4*cos(2*self.alpha - (4*sin(self.gamma))/self.z) + 16*cos(2*self.gamma -
|
||||
(4*sin(self.gamma))/self.z) + 24*cos(4*self.gamma - (4*sin(self.gamma))/self.z) +
|
||||
4*cos(2*self.alpha + 4*self.gamma - (4*sin(self.gamma))/self.z) -
|
||||
8*cos(2*(self.alpha + self.gamma - (2*sin(self.gamma))/self.z)) +
|
||||
4*cos(2*self.alpha + (4*sin(self.gamma))/self.z) + 4*cos(2*self.alpha -
|
||||
4*self.gamma + (4*sin(self.gamma))/self.z) - 8*cos(2*self.alpha - 2*self.gamma +
|
||||
(4*sin(self.gamma))/self.z) + 32*sqrt(2)*sqrt(-(cos(self.alpha)**2*
|
||||
(-2 - 2*cos(2*self.alpha) + cos(2*(self.alpha - self.gamma)) -
|
||||
2*cos(2*self.gamma) + cos(2*(self.alpha + self.gamma)) +
|
||||
4*cos(2*self.gamma - (4*sin(self.gamma))/self.z))*cos(self.gamma - (2*sin(self.gamma))/self.z)**2*
|
||||
sin(2*self.gamma)**2)))/(-6 - 2*cos(2*self.alpha) + cos(2*(self.alpha - self.gamma)) -
|
||||
2*cos(2*self.gamma) + cos(2*(self.alpha + self.gamma)))**2)/sqrt(2))
|
||||
|
||||
def involute_function_x(self):
|
||||
def func(s):
|
||||
return((
|
||||
-(cos(s*1/sin(self.alpha)*1/sin(self.gamma))*sin(self.alpha)*sin(s)) +
|
||||
(cos(s)*sin(self.gamma) + cos(self.alpha)*cos(self.gamma)*sin(s))*
|
||||
sin(s*1/sin(self.alpha)*1/sin(self.gamma))))
|
||||
return(func)
|
||||
|
||||
def involute_function_y(self):
|
||||
def func(s):
|
||||
return((
|
||||
cos(s*1/sin(self.alpha)*1/sin(self.gamma))*(cos(s)*sin(self.gamma) +
|
||||
cos(self.alpha)*cos(self.gamma)*sin(s)) + sin(self.alpha)*sin(s)*
|
||||
sin(s*1/sin(self.alpha)*1/sin(self.gamma))))
|
||||
return(func)
|
||||
|
||||
def involute_function_z(self):
|
||||
def func(s):
|
||||
return((
|
||||
cos(self.gamma)*cos(s) - cos(self.alpha)*sin(self.gamma)*sin(s)))
|
||||
return(func)
|
||||
|
||||
def getradius(self, s):
|
||||
x = self.involute_function_x()
|
||||
y = self.involute_function_y()
|
||||
rx = x(s)
|
||||
ry = y(s)
|
||||
return(sqrt(rx**2 + ry**2))
|
||||
|
||||
def involute_points(self, num=10):
|
||||
pts = linspace(self.involute_start, self.involute_end, num=num)
|
||||
fx = self.involute_function_x()
|
||||
x = array(map(fx, pts))
|
||||
fy = self.involute_function_y()
|
||||
y = array(map(fy, pts))
|
||||
fz = self.involute_function_z()
|
||||
z = array(map(fz, pts))
|
||||
xyz = transpose(array([x, y,z]))
|
||||
if self.add_foot:
|
||||
p = xyz[0]
|
||||
p1 =map(lambda x: x * (self.r_f / sqrt(p[0]**2 + p[1]**2)), p)
|
||||
p1[2] = self.z_f
|
||||
xyz=vstack([[p1], xyz])
|
||||
xy = [[i[0]/i[2],i[1]/i[2],1.] for i in xyz]
|
||||
backlash_rot = rotation3D(self.backlash / 4)
|
||||
xy = backlash_rot(xy)
|
||||
return(xy)
|
||||
|
||||
def points(self, num=10):
|
||||
pts = self.involute_points(num = num)
|
||||
rot = rotation3D(-pi/self.z/2)
|
||||
pts = rot(pts)
|
||||
ref = reflection3D(pi/2)
|
||||
pts1 = ref(pts)[::-1]
|
||||
rot = rotation3D(2*pi/self.z)
|
||||
pt3 = rot(pts[0])
|
||||
if self.add_foot:
|
||||
return(array([
|
||||
[pts[0],pts[1]],
|
||||
pts[1:],
|
||||
[pts[-1], pts1[0]],
|
||||
pts1[:-1],
|
||||
[pts1[-2], pts1[-1]]
|
||||
]))
|
||||
return(array([pts,[pts[-1],pts1[0]], pts1]))
|
||||
else:
|
||||
return(array([pts,[pts[-1],pts1[0]], pts1]))
|
||||
|
||||
|
||||
def _update(self):
|
||||
self.__init__(z = self.z, clearence = self.clearence,
|
||||
alpha = self.alpha, gamma = self.gamma, backlash = self.backlash, module = self.module)
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
from matplotlib import pyplot
|
||||
gear = bevel_tooth()
|
||||
x = []
|
||||
y = []
|
||||
for i in gear.points(30):
|
||||
for j in i:
|
||||
x.append(j[0])
|
||||
y.append(j[1])
|
||||
pyplot.plot(x,y)
|
||||
pyplot.show()
|
||||
@@ -1,118 +0,0 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
#***************************************************************************
|
||||
#* *
|
||||
#* This program is free software; you can redistribute it and/or modify *
|
||||
#* it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
#* as published by the Free Software Foundation; either version 2 of *
|
||||
#* the License, or (at your option) any later version. *
|
||||
#* for detail see the LICENCE text file. *
|
||||
#* *
|
||||
#* This program is distributed in the hope that it will be useful, *
|
||||
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
#* GNU Library General Public License for more details. *
|
||||
#* *
|
||||
#* You should have received a copy of the GNU Library General Public *
|
||||
#* License along with this program; if not, write to the Free Software *
|
||||
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
#* USA *
|
||||
#* *
|
||||
#***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
from __future__ import division
|
||||
from numpy import cos, sin, arccos, pi, array, linspace, transpose, vstack
|
||||
from _functions import rotation, reflection
|
||||
|
||||
class cycloide_tooth():
|
||||
def __init__(self, z1 = 5, z2 = 5, z = 14, m = 5, clearence = 0.12, backlash = 0.00):
|
||||
self.m = m
|
||||
self.z = z
|
||||
self.clearence = clearence
|
||||
self.backlash = backlash
|
||||
self.z1 = z1
|
||||
self.z2 = z2
|
||||
self._calc_gear_factors()
|
||||
|
||||
def _calc_gear_factors(self):
|
||||
self.d1 = self.z1 * self.m
|
||||
self.d2 = self.z2 * self.m
|
||||
self.phi = self.m * pi
|
||||
self.d = self.z * self.m
|
||||
self.da = self.d + 2*self.m
|
||||
self.di = self.d - 2*self.m - self.clearence * self.m
|
||||
self.phipart = 2 * pi / self.z
|
||||
|
||||
def epicycloide_x(self):
|
||||
def func(t):
|
||||
return(((self.d2 + self.d) * cos(t))/2. - (self.d2 * cos((1 + self.d / self.d2) * t))/2.)
|
||||
return(func)
|
||||
|
||||
def epicycloide_y(self):
|
||||
def func(t):
|
||||
return(((self.d2 + self.d) * sin(t))/2. - (self.d2 * sin((1 + self.d / self.d2) * t))/2.)
|
||||
return(func)
|
||||
|
||||
def hypocycloide_x(self):
|
||||
def func(t):
|
||||
return((self.d - self.d1)*cos(t)/2 + self.d1/2 * cos((self.d / self.d1 - 1) * t))
|
||||
return(func)
|
||||
|
||||
def hypocycloide_y(self):
|
||||
def func(t):
|
||||
return((self.d - self.d1)*sin(t)/2 - self.d1/2 *sin((self.d/self.d1 - 1)*t))
|
||||
return(func)
|
||||
|
||||
def inner_end(self):
|
||||
return(
|
||||
-((self.d1*arccos((2*self.d1**2 - self.di**2 -
|
||||
2*self.d1*self.d + self.d**2)/(2.*self.d1*
|
||||
(self.d1 - self.d))))/self.d)
|
||||
)
|
||||
|
||||
def outer_end(self):
|
||||
return(
|
||||
(self.d2*arccos((2*self.d2**2 - self.da**2 +
|
||||
2*self.d2*self.d + self.d**2)/
|
||||
(2.*self.d2*(self.d2 + self.d))))/self.d
|
||||
)
|
||||
|
||||
def points(self, num = 10):
|
||||
|
||||
inner_x = self.hypocycloide_x()
|
||||
inner_y = self.hypocycloide_y()
|
||||
outer_x = self.epicycloide_x()
|
||||
outer_y = self.epicycloide_y()
|
||||
t_inner_end = self.inner_end()
|
||||
t_outer_end = self.outer_end()
|
||||
t_vals_outer = linspace(0, t_outer_end, num)
|
||||
t_vals_inner = linspace(t_inner_end,0,num)
|
||||
pts_outer_x = map(outer_x, t_vals_outer)
|
||||
pts_outer_y = map(outer_y, t_vals_outer)
|
||||
pts_inner_x = map(inner_x, t_vals_inner)
|
||||
pts_inner_y = map(inner_y, t_vals_inner)
|
||||
pts_outer = transpose([pts_outer_x, pts_outer_y])
|
||||
pts_inner = transpose([pts_inner_x, pts_inner_y])
|
||||
pts1 = vstack([pts_inner[:-2],pts_outer])
|
||||
rot =rotation(self.phipart / 4 - self.backlash)
|
||||
pts1 = rot(pts1)
|
||||
ref = reflection(0.)
|
||||
pts2 = ref(pts1)[::-1]
|
||||
one_tooth = [pts1,array([pts1[-1],pts2[0]]), pts2]
|
||||
return(one_tooth)
|
||||
|
||||
def _update(self):
|
||||
self.__init__(m = self.m, z = self.z, z1 = self.z1, z2 = self.z2,
|
||||
clearence = self.clearence, backlash = self.backlash)
|
||||
|
||||
if __name__ == "__main__":
|
||||
from matplotlib import pyplot
|
||||
gear = cycloide_tooth()
|
||||
x = []
|
||||
y = []
|
||||
for i in gear.points(30):
|
||||
for j in i:
|
||||
x.append(j[0])
|
||||
y.append(j[1])
|
||||
pyplot.plot(x[-60:],y[-60:])
|
||||
pyplot.show()
|
||||
@@ -1,162 +0,0 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
#***************************************************************************
|
||||
#* *
|
||||
#* This program is free software; you can redistribute it and/or modify *
|
||||
#* it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
#* as published by the Free Software Foundation; either version 2 of *
|
||||
#* the License, or (at your option) any later version. *
|
||||
#* for detail see the LICENCE text file. *
|
||||
#* *
|
||||
#* This program is distributed in the hope that it will be useful, *
|
||||
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
#* GNU Library General Public License for more details. *
|
||||
#* *
|
||||
#* You should have received a copy of the GNU Library General Public *
|
||||
#* License along with this program; if not, write to the Free Software *
|
||||
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
#* USA *
|
||||
#* *
|
||||
#***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
from numpy import sin, cos, dot, array, ndarray, vstack, transpose, sqrt
|
||||
from numpy.linalg import solve
|
||||
|
||||
|
||||
def reflection(alpha):
|
||||
mat = array(
|
||||
[[cos(2 * alpha), -sin(2 * alpha)], [-sin(2 * alpha), -cos(2 * alpha)]])
|
||||
|
||||
def func(x):
|
||||
return(dot(x, mat))
|
||||
return(func)
|
||||
|
||||
|
||||
def reflection3D(alpha):
|
||||
mat = array([[cos(2 * alpha), -sin(2 * alpha), 0.],
|
||||
[-sin(2 * alpha), -cos(2 * alpha), 0.], [0., 0., 1.]])
|
||||
|
||||
def func(x):
|
||||
return(dot(x, mat))
|
||||
return(func)
|
||||
|
||||
|
||||
def rotation(alpha, midpoint=[0, 0]):
|
||||
mat = array([[cos(alpha), -sin(alpha)], [sin(alpha), cos(alpha)]])
|
||||
midpoint = array(midpoint)
|
||||
vec = midpoint - dot(midpoint, mat)
|
||||
trans = translation(vec)
|
||||
|
||||
def func(xx):
|
||||
return(trans(dot(xx, mat)))
|
||||
return(func)
|
||||
|
||||
|
||||
def rotation3D(alpha):
|
||||
mat = array(
|
||||
[
|
||||
[cos(alpha), -sin(alpha), 0.],
|
||||
[sin(alpha), cos(alpha), 0.],
|
||||
[0., 0., 1.]])
|
||||
|
||||
def func(xx):
|
||||
return(dot(xx, mat))
|
||||
return(func)
|
||||
|
||||
|
||||
def translation(vec):
|
||||
def trans(x):
|
||||
return([x[0] + vec[0], x[1] + vec[1]])
|
||||
|
||||
def func(x):
|
||||
return(array(map(trans, x)))
|
||||
return(func)
|
||||
|
||||
|
||||
def trim(p1, p2, p3, p4):
|
||||
a1 = array(p1)
|
||||
a2 = array(p2)
|
||||
a3 = array(p3)
|
||||
a4 = array(p4)
|
||||
if all(a1 == a2) or all(a3 == a4):
|
||||
if all(a1 == a3):
|
||||
return(a1)
|
||||
else:
|
||||
return(False)
|
||||
elif all(a1 == a3):
|
||||
if all(a2 == a4):
|
||||
return((a1 + a2) / 2)
|
||||
else:
|
||||
return(a1)
|
||||
elif all(a1 == a4):
|
||||
if all(a2 == a3):
|
||||
return((a1 + a2) / 2)
|
||||
else:
|
||||
return(a1)
|
||||
elif all(a2 == a3) or all(a2 == a4):
|
||||
return(p2)
|
||||
try:
|
||||
g, h = solve(transpose([-a2 + a1, a4 - a3]), a1 - a3)
|
||||
except:
|
||||
print(Exception)
|
||||
return(False)
|
||||
else:
|
||||
if 0. < g < 1. and 0. < h < 1.:
|
||||
return(a1 + g * (a2 - a1))
|
||||
else:
|
||||
return(False)
|
||||
return(False)
|
||||
|
||||
|
||||
def trimfunc(l1, l2):
|
||||
ik = 0
|
||||
i0 = array(l1[0])
|
||||
for i in array(l1[1:]):
|
||||
jk = 0
|
||||
j0 = array(l2[0])
|
||||
for j in array(l2[1:]):
|
||||
s = trim(j0, j, i0, i)
|
||||
if isinstance(s, ndarray):
|
||||
if ik == 0:
|
||||
l1 = [l1[0]]
|
||||
else:
|
||||
l1 = l1[:ik]
|
||||
if jk == 0:
|
||||
l2 == [l2[0]]
|
||||
else:
|
||||
l2 = l2[jk::-1]
|
||||
return(array([vstack([l1, [s]]), vstack([[s], l2])]))
|
||||
j0 = j
|
||||
jk += 1
|
||||
i0 = i
|
||||
ik += 1
|
||||
return(False)
|
||||
|
||||
|
||||
def norm(vec1, vec2):
|
||||
vec = array(vec2) - array(vec1)
|
||||
out = 0
|
||||
for i in vec:
|
||||
out += i ** 2
|
||||
return(sqrt(out))
|
||||
|
||||
|
||||
def nearestpts(evolv, underc):
|
||||
ik = 0
|
||||
iout = 0
|
||||
jout = 0
|
||||
outmin = 1000.
|
||||
for i in array(evolv[1:]):
|
||||
jk = 0
|
||||
for j in array(underc[1:]):
|
||||
l = norm(i, j)
|
||||
if l < outmin:
|
||||
re = norm(i, [0, 0])
|
||||
ru = norm(j, [0, 0])
|
||||
if re > ru:
|
||||
outmin = l
|
||||
iout, jout = [ik, jk]
|
||||
jk += 1
|
||||
ik += 1
|
||||
return([vstack([underc[:jout], evolv[iout]]), evolv[iout:]])
|
||||
@@ -1,197 +0,0 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
#***************************************************************************
|
||||
#* *
|
||||
#* This program is free software; you can redistribute it and/or modify *
|
||||
#* it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
#* as published by the Free Software Foundation; either version 2 of *
|
||||
#* the License, or (at your option) any later version. *
|
||||
#* for detail see the LICENCE text file. *
|
||||
#* *
|
||||
#* This program is distributed in the hope that it will be useful, *
|
||||
#* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
#* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
#* GNU Library General Public License for more details. *
|
||||
#* *
|
||||
#* You should have received a copy of the GNU Library General Public *
|
||||
#* License along with this program; if not, write to the Free Software *
|
||||
#* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
#* USA *
|
||||
#* *
|
||||
#***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
from numpy import tan, cos, sin, sqrt, arctan, pi, array, linspace, transpose, vstack, ndarray
|
||||
from _functions import nearestpts, rotation, reflection, trimfunc, norm, translation
|
||||
import numpy as np
|
||||
|
||||
class involute_tooth():
|
||||
def __init__(self, m=5, z=15, alpha=20 * pi / 180., clearence=0.12, shift=0.5, beta=0., undercut=False, backlash=0.00):
|
||||
self.alpha = alpha
|
||||
self.beta = beta
|
||||
self.m_n = m
|
||||
self.z = z
|
||||
self.undercut = undercut
|
||||
self.shift = shift
|
||||
self.clearence = clearence
|
||||
self.backlash = backlash
|
||||
self._calc_gear_factors()
|
||||
|
||||
def _calc_gear_factors(self):
|
||||
self.alpha_t = arctan(tan(self.alpha) / cos(self.beta))
|
||||
self.m = self.m_n / cos(self.beta)
|
||||
self.c = self.clearence * self.m_n
|
||||
self.midpoint = [0., 0.]
|
||||
self.d = self.z * self.m
|
||||
self.dw = self.m * self.z
|
||||
self.da = self.dw + 2. * self.m_n + 2. * self.shift * self.m_n
|
||||
self.df = self.dw - 2. * self.m_n - \
|
||||
2 * self.c + 2. * self.shift * self.m_n
|
||||
self.dg = self.d * cos(self.alpha_t)
|
||||
self.phipart = 2 * pi / self.z
|
||||
|
||||
self.undercut_end = sqrt(-self.df ** 2 + self.da ** 2) / self.da
|
||||
self.undercut_rot = (-self.df / self.dw * tan(arctan((2 * ((self.m * pi) / 4. -
|
||||
(self.c + self.m_n) * tan(self.alpha_t))) / self.df)))
|
||||
|
||||
self.involute_end = sqrt(self.da ** 2 - self.dg ** 2) / self.dg
|
||||
self.involute_rot1 = sqrt(-self.dg ** 2 + (self.dw) ** 2) / self.dg - arctan(
|
||||
sqrt(-self.dg ** 2 + (self.dw) ** 2) / self.dg)
|
||||
self.involute_rot2 = self.m / \
|
||||
(self.d) * (pi / 2 + 2 * self.shift * tan(self.alpha_t))
|
||||
self.involute_rot2 = 1 / self.z * (pi / 2 + 2 * self.shift * tan(self.alpha_t))
|
||||
self.involute_rot = self.involute_rot1 + self.involute_rot2
|
||||
self.involute_start = 0.
|
||||
if self.dg <= self.df:
|
||||
self.involute_start = sqrt(self.df ** 2 - self.dg ** 2) / self.dg
|
||||
|
||||
|
||||
def undercut_points(self, num=10):
|
||||
pts = linspace(0, self.undercut_end, num=num)
|
||||
fx = self.undercut_function_x()
|
||||
x = array(map(fx, pts))
|
||||
fy = self.undercut_function_y()
|
||||
y = array(map(fy, pts))
|
||||
xy = transpose([x, y])
|
||||
rotate = rotation(
|
||||
self.undercut_rot + self.phipart / 2 - self.backlash / 4)
|
||||
xy = rotate(xy)
|
||||
return(array(xy))
|
||||
|
||||
def involute_points(self, num=10):
|
||||
pts = linspace(self.involute_start, self.involute_end, num=num)
|
||||
fx = self.involute_function_x()
|
||||
x = array(map(fx, pts))
|
||||
fy = self.involute_function_y()
|
||||
y = array(map(fy, pts))
|
||||
rot = rotation(self.involute_rot - self.backlash / 4)
|
||||
xy = rot(transpose(array([x, y])))
|
||||
return(xy)
|
||||
|
||||
def points(self, num=10):
|
||||
l1 = self.undercut_points(num=num)
|
||||
l2 = self.involute_points(num=num)
|
||||
s = trimfunc(l1, l2[::-1])
|
||||
if self.undercut:
|
||||
if isinstance(s, ndarray):
|
||||
u1, e1 = s
|
||||
else:
|
||||
u1, e1 = nearestpts(l2, l1)
|
||||
else:
|
||||
u1 = False
|
||||
if self.dg > self.df:
|
||||
u1 = vstack(
|
||||
[[l2[0] * self.df / (norm(l2[0], [0, 0]) * 2)], [l2[0]]])
|
||||
e1 = l2
|
||||
else:
|
||||
e1 = l2
|
||||
|
||||
reflect = reflection(0)
|
||||
e2 = reflect(e1)[::-1]
|
||||
if isinstance(u1, bool):
|
||||
u2 = False
|
||||
one_tooth = [e1, [e1[-1], e2[0]], e2]
|
||||
else:
|
||||
u2 = reflect(u1)[::-1]
|
||||
one_tooth = [u1, e1, [e1[-1], e2[0]], e2, u2]
|
||||
return(one_tooth)
|
||||
|
||||
def gearfunc(self, x):
|
||||
rot = rotation(2 * x / self.dw, self.midpoint)
|
||||
return(rot)
|
||||
|
||||
def undercut_function_x(self):
|
||||
def func(psi):
|
||||
return(
|
||||
cos(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
|
||||
(self.df ** 2 * tan(psi) ** 2) / 4.))
|
||||
return(func)
|
||||
|
||||
def undercut_function_y(self):
|
||||
def func(psi):
|
||||
return(
|
||||
sin(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
|
||||
(self.df ** 2 * tan(psi) ** 2) / 4.))
|
||||
return(func)
|
||||
|
||||
def involute_function_x(self):
|
||||
def func(phi):
|
||||
return(array(self.dg / 2 * cos(phi) + phi * self.dg / 2 * sin(phi)))
|
||||
return(func)
|
||||
|
||||
def involute_function_y(self):
|
||||
def func(phi):
|
||||
return(self.dg / 2 * sin(phi) - phi * self.dg / 2 * cos(phi))
|
||||
return(func)
|
||||
|
||||
def _update(self):
|
||||
self.__init__(m = self.m_n, z = self.z,
|
||||
alpha = self.alpha, clearence = self.clearence, shift = self.shift,
|
||||
beta = self.beta, undercut = self.undercut, backlash = self.backlash)
|
||||
|
||||
|
||||
class involute_rack(object):
|
||||
def __init__(self, m=5, z=15, alpha=20 * pi / 180., thickness=5):
|
||||
self.alpha = alpha
|
||||
self.thickness = thickness
|
||||
self.m = m
|
||||
self.z = z
|
||||
|
||||
def _update(self):
|
||||
self.__init__(m = self.m, z = self.z, alpha = self.alpha, thickness = self.thickness)
|
||||
|
||||
def points(self, num=10):
|
||||
a = 2 * self.m * tan(self.alpha)
|
||||
b = ((self.m * pi) / 2 - a) / 2
|
||||
tooth= [
|
||||
[self.m, -a - b],
|
||||
[-self.m, -b],
|
||||
[-self.m, b],
|
||||
[self.m, a + b]
|
||||
]
|
||||
teeth = [tooth]
|
||||
trans = translation([0., self.m * pi, 0.])
|
||||
for i in range(self.z):
|
||||
teeth.append(trans(teeth[-1]))
|
||||
teeth = list(np.vstack(teeth))
|
||||
teeth.append(list(teeth[-1]))
|
||||
teeth[-1][0] += self.thickness
|
||||
teeth.append(list(teeth[0]))
|
||||
teeth[-1][0] += self.thickness
|
||||
teeth.append(teeth[0])
|
||||
return(teeth)
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
from matplotlib import pyplot
|
||||
gear = involute_rack()
|
||||
x = []
|
||||
y = []
|
||||
for i in gear.points(30):
|
||||
x.append(i[0])
|
||||
y.append(i[1])
|
||||
pyplot.plot(x, y)
|
||||
pyplot.show()
|
||||
|
||||
25
package.xml
Normal file
@@ -0,0 +1,25 @@
|
||||
<?xml version="1.0" encoding="UTF-8" standalone="no" ?>
|
||||
<package format="1" xmlns="https://wiki.freecad.org/Package_Metadata">
|
||||
<name>freecad.gears workbench</name>
|
||||
<description>A gear workbench for FreeCAD</description>
|
||||
<version>1.0</version>
|
||||
<date>2022-02-07</date>
|
||||
<maintainer email="sppedflyer@gmail.com">looooo</maintainer>
|
||||
<license file="LICENSE">GPL 3</license>
|
||||
<dep>scipy</dep>
|
||||
<url type="repository" branch="develop">https://github.com/looooo/freecad.gears</url>
|
||||
<url type="bugtracker">https://github.com/looooo/freecad.gears/issues</url>
|
||||
<url type="documentation">https://wiki.freecad.org/FCGear_Workbench</url>
|
||||
<icon>freecad/gears/icons/gearworkbench.svg</icon>
|
||||
|
||||
<content>
|
||||
<workbench>
|
||||
<classname>GearWorkbench</classname>
|
||||
<subdirectory>./</subdirectory>
|
||||
<freecadmin>0.19</freecadmin>
|
||||
<tag>gear</tag>
|
||||
<tag>gears</tag>
|
||||
</workbench>
|
||||
</content>
|
||||
|
||||
</package>
|
||||
|
Before Width: | Height: | Size: 29 KiB |
|
Before Width: | Height: | Size: 11 KiB |
|
Before Width: | Height: | Size: 12 KiB |
22
pygears/__init__.py
Normal file
@@ -0,0 +1,22 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
||||
# * *
|
||||
# * This program is free software; you can redistribute it and/or modify *
|
||||
# * it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
# * as published by the Free Software Foundation; either version 2 of *
|
||||
# * the License, or (at your option) any later version. *
|
||||
# * for detail see the LICENCE text file. *
|
||||
# * *
|
||||
# * This program is distributed in the hope that it will be useful, *
|
||||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
# * GNU Library General Public License for more details. *
|
||||
# * *
|
||||
# * You should have received a copy of the GNU Library General Public *
|
||||
# * License along with this program; if not, write to the Free Software *
|
||||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
# * USA *
|
||||
# * *
|
||||
# ***************************************************************************
|
||||
|
||||
__version__ = "0.0.3"
|
||||
183
pygears/_functions.py
Normal file
@@ -0,0 +1,183 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
||||
# * *
|
||||
# * This program is free software; you can redistribute it and/or modify *
|
||||
# * it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
# * as published by the Free Software Foundation; either version 2 of *
|
||||
# * the License, or (at your option) any later version. *
|
||||
# * for detail see the LICENCE text file. *
|
||||
# * *
|
||||
# * This program is distributed in the hope that it will be useful, *
|
||||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
# * GNU Library General Public License for more details. *
|
||||
# * *
|
||||
# * You should have received a copy of the GNU Library General Public *
|
||||
# * License along with this program; if not, write to the Free Software *
|
||||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
# * USA *
|
||||
# * *
|
||||
# ***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
from numpy import sin, cos, dot, array, ndarray, vstack, transpose, sqrt
|
||||
from numpy.linalg import solve, norm
|
||||
|
||||
|
||||
def reflection(angle):
|
||||
mat = array(
|
||||
[[cos(2 * angle), -sin(2 * angle)], [-sin(2 * angle), -cos(2 * angle)]])
|
||||
|
||||
def func(x):
|
||||
return(dot(x, mat))
|
||||
return(func)
|
||||
|
||||
|
||||
def reflection3D(angle):
|
||||
mat = array([[cos(2 * angle), -sin(2 * angle), 0.],
|
||||
[-sin(2 * angle), -cos(2 * angle), 0.], [0., 0., 1.]])
|
||||
|
||||
def func(x):
|
||||
return(dot(x, mat))
|
||||
return(func)
|
||||
|
||||
|
||||
def rotation(angle, midpoint=None):
|
||||
midpoint = midpoint or [0., 0.]
|
||||
mat = array([[cos(angle), -sin(angle)],
|
||||
[sin(angle), cos(angle)]])
|
||||
midpoint = array(midpoint)
|
||||
vec = midpoint - dot(midpoint, mat)
|
||||
trans = translation(vec)
|
||||
|
||||
def func(xx):
|
||||
return(trans(dot(xx, mat)))
|
||||
return(func)
|
||||
|
||||
|
||||
def rotation3D(angle):
|
||||
mat = array(
|
||||
[
|
||||
[cos(angle), -sin(angle), 0.],
|
||||
[sin(angle), cos(angle), 0.],
|
||||
[0., 0., 1.]])
|
||||
|
||||
def func(xx):
|
||||
return(dot(xx, mat))
|
||||
return(func)
|
||||
|
||||
|
||||
def translation(vec):
|
||||
def trans(x):
|
||||
return([x[0] + vec[0], x[1] + vec[1]])
|
||||
|
||||
def func(x):
|
||||
return(array(list(map(trans, x))))
|
||||
return(func)
|
||||
|
||||
|
||||
def trim(p1, p2, p3, p4):
|
||||
a1 = array(p1)
|
||||
a2 = array(p2)
|
||||
a3 = array(p3)
|
||||
a4 = array(p4)
|
||||
if all(a1 == a2) or all(a3 == a4):
|
||||
if all(a1 == a3):
|
||||
return(a1)
|
||||
else:
|
||||
return(False)
|
||||
elif all(a1 == a3):
|
||||
if all(a2 == a4):
|
||||
return((a1 + a2) / 2)
|
||||
else:
|
||||
return(a1)
|
||||
elif all(a1 == a4):
|
||||
if all(a2 == a3):
|
||||
return((a1 + a2) / 2)
|
||||
else:
|
||||
return(a1)
|
||||
elif all(a2 == a3) or all(a2 == a4):
|
||||
return(p2)
|
||||
try:
|
||||
g, h = solve(transpose([-a2 + a1, a4 - a3]), a1 - a3)
|
||||
except Exception as e:
|
||||
print(e)
|
||||
return(False)
|
||||
else:
|
||||
if 0. < g < 1. and 0. < h < 1.:
|
||||
return(a1 + g * (a2 - a1))
|
||||
else:
|
||||
return(False)
|
||||
|
||||
|
||||
def trimfunc(l1, l2):
|
||||
ik = 0
|
||||
i0 = array(l1[0])
|
||||
for i in array(l1[1:]):
|
||||
jk = 0
|
||||
j0 = array(l2[0])
|
||||
for j in array(l2[1:]):
|
||||
s = trim(j0, j, i0, i)
|
||||
if isinstance(s, ndarray):
|
||||
if ik == 0:
|
||||
l1 = [l1[0]]
|
||||
else:
|
||||
l1 = l1[:ik]
|
||||
if jk == 0:
|
||||
l2 == [l2[0]]
|
||||
else:
|
||||
l2 = l2[jk::-1]
|
||||
return([vstack([l1, [s]]), vstack([[s], l2])])
|
||||
j0 = j
|
||||
jk += 1
|
||||
i0 = i
|
||||
ik += 1
|
||||
return(False)
|
||||
|
||||
|
||||
def diff_norm(vec1, vec2):
|
||||
vec = array(vec2) - array(vec1)
|
||||
return norm(vec)
|
||||
|
||||
|
||||
def nearestpts(evolv, underc):
|
||||
ik = 0
|
||||
iout = 0
|
||||
jout = 0
|
||||
outmin = 1000.
|
||||
for i in array(evolv[1:]):
|
||||
jk = 0
|
||||
for j in array(underc[1:]):
|
||||
l = diff_norm(i, j)
|
||||
if l < outmin:
|
||||
re = diff_norm(i, [0, 0])
|
||||
ru = diff_norm(j, [0, 0])
|
||||
if re > ru:
|
||||
outmin = l
|
||||
iout, jout = [ik, jk]
|
||||
jk += 1
|
||||
ik += 1
|
||||
return([vstack([underc[:jout], evolv[iout]]), evolv[iout:]])
|
||||
|
||||
|
||||
def intersection_line_circle(p1, p2, r):
|
||||
"""return the intersection point of a line from p1 to p2 and a sphere of radius 1 and
|
||||
midpoint 0,0,0"""
|
||||
d = p2 - p1
|
||||
d /= norm(d)
|
||||
p_half = d.dot(p1)
|
||||
q = p1.dot(p1) - r ** 2
|
||||
t = -p_half + sqrt(p_half ** 2 - q)
|
||||
return p1 + d * t
|
||||
|
||||
|
||||
def arc_from_points_and_center(p_1, p_2, m):
|
||||
"""return 3 points (x1, x12, x2) which can be used to create the arc"""
|
||||
r = (norm(p_1 - m) + norm(p_2 - m)) / 2
|
||||
p_12l = (p_1 + p_2) / 2
|
||||
v = p_12l - m
|
||||
v /= norm(v)
|
||||
p_12 = m + v * r
|
||||
return (p_1, p_12, p_2)
|
||||
|
||||
|
||||
139
pygears/bevel_tooth.py
Normal file
@@ -0,0 +1,139 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
||||
# * *
|
||||
# * This program is free software; you can redistribute it and/or modify *
|
||||
# * it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
# * as published by the Free Software Foundation; either version 2 of *
|
||||
# * the License, or (at your option) any later version. *
|
||||
# * for detail see the LICENCE text file. *
|
||||
# * *
|
||||
# * This program is distributed in the hope that it will be useful, *
|
||||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
# * GNU Library General Public License for more details. *
|
||||
# * *
|
||||
# * You should have received a copy of the GNU Library General Public *
|
||||
# * License along with this program; if not, write to the Free Software *
|
||||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
# * USA *
|
||||
# * *
|
||||
# ***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
from __future__ import division
|
||||
from numpy import cos, sin, tan, arccos, arctan, pi, array, linspace, transpose, vstack, sqrt
|
||||
from ._functions import rotation3D, reflection3D, intersection_line_circle
|
||||
|
||||
|
||||
class BevelTooth(object):
|
||||
def __init__(self, pressure_angle=70 * pi / 180, pitch_angle=pi / 4, clearance=0.1,
|
||||
z=21, backlash=0.00, module=0.25):
|
||||
self.pressure_angle = pressure_angle
|
||||
self.pitch_angle = pitch_angle
|
||||
self.z = z
|
||||
self.clearance = clearance
|
||||
self.backlash = backlash
|
||||
self.module = module
|
||||
|
||||
self.involute_end = arccos(
|
||||
1 / sqrt(2) * sqrt((42. + 16.*cos(2.*self.pressure_angle) +
|
||||
6.*cos(4.*self.pressure_angle) + cos(4.*self.pressure_angle - 4.*self.pitch_angle) - 8.*cos(2.*self.pressure_angle - 2.*self.pitch_angle) -
|
||||
4.*cos(4.*self.pressure_angle - 2.*self.pitch_angle) + 24.*cos(2.*self.pitch_angle) - 2.*cos(4.*self.pitch_angle) -
|
||||
8.*cos(2.*(self.pressure_angle + self.pitch_angle)) + cos(4.*(self.pressure_angle + self.pitch_angle)) -
|
||||
4.*cos(4.*self.pressure_angle + 2.*self.pitch_angle) + 24.*cos((4.*sin(self.pitch_angle))/self.z) +
|
||||
4.*cos(2.*self.pressure_angle - (4.*sin(self.pitch_angle))/self.z) + 4.*cos(2.*self.pressure_angle -
|
||||
4.*self.pitch_angle - (4.*sin(self.pitch_angle))/self.z) - 8.*cos(2.*self.pressure_angle - 2.*self.pitch_angle -
|
||||
(4.*sin(self.pitch_angle))/self.z) + 24.*cos(4.*(self.pitch_angle + sin(self.pitch_angle)/self.z)) -
|
||||
8.*cos(2.*(self.pressure_angle + self.pitch_angle + (2.*sin(self.pitch_angle))/self.z)) + 4.*cos(2.*self.pressure_angle +
|
||||
(4.*sin(self.pitch_angle))/self.z) + 16.*cos(2.*self.pitch_angle + (4.*sin(self.pitch_angle))/self.z) +
|
||||
4.*cos(2.*self.pressure_angle + 4.*self.pitch_angle + (4.*sin(self.pitch_angle))/self.z) + 32.*abs(cos(self.pitch_angle +
|
||||
(2.*sin(self.pitch_angle))/self.z))*cos(self.pressure_angle)*sqrt(4.*cos(2.*self.pressure_angle) -
|
||||
2.*(-2. + cos(2.*self.pressure_angle - 2.*self.pitch_angle) - 2.*cos(2.*self.pitch_angle) + cos(2.*(self.pressure_angle + self.pitch_angle)) +
|
||||
4.*cos(2.*self.pitch_angle + (4.*sin(self.pitch_angle))/self.z)))*sin(2.*self.pitch_angle))/(-6. - 2.*cos(2.*self.pressure_angle) +
|
||||
cos(2.*self.pressure_angle - 2.*self.pitch_angle) - 2.*cos(2.*self.pitch_angle) + cos(2.*(self.pressure_angle + self.pitch_angle)))**2))
|
||||
|
||||
self.involute_start = -pi/2. + \
|
||||
arctan(1/tan(self.pitch_angle)*1/cos(self.pressure_angle))
|
||||
self.involute_start_radius = self.get_radius(self.involute_start)
|
||||
self.r_f = sin(self.pitch_angle - sin(pitch_angle) * 2 /
|
||||
self.z) - self.clearance * sin(self.pitch_angle)
|
||||
self.z_f = cos(self.pitch_angle - sin(pitch_angle) * 2 / self.z)
|
||||
self.add_foot = True
|
||||
|
||||
def involute_function_x(self):
|
||||
def func(s):
|
||||
return((
|
||||
-(cos(s*1/sin(self.pressure_angle)*1/sin(self.pitch_angle))*sin(self.pressure_angle)*sin(s)) +
|
||||
(cos(s)*sin(self.pitch_angle) + cos(self.pressure_angle)*cos(self.pitch_angle)*sin(s)) *
|
||||
sin(s*1/sin(self.pressure_angle)*1/sin(self.pitch_angle))))
|
||||
return(func)
|
||||
|
||||
def involute_function_y(self):
|
||||
def func(s):
|
||||
return((
|
||||
cos(s*1/sin(self.pressure_angle)*1/sin(self.pitch_angle))*(cos(s)*sin(self.pitch_angle) +
|
||||
cos(self.pressure_angle)*cos(self.pitch_angle)*sin(s)) + sin(self.pressure_angle)*sin(s) *
|
||||
sin(s*1/sin(self.pressure_angle)*1/sin(self.pitch_angle))))
|
||||
return(func)
|
||||
|
||||
def involute_function_z(self):
|
||||
def func(s):
|
||||
return((
|
||||
cos(self.pitch_angle)*cos(s) - cos(self.pressure_angle)*sin(self.pitch_angle)*sin(s)))
|
||||
return(func)
|
||||
|
||||
def get_radius(self, s):
|
||||
x = self.involute_function_x()
|
||||
y = self.involute_function_y()
|
||||
rx = x(s)
|
||||
ry = y(s)
|
||||
return(sqrt(rx**2 + ry**2))
|
||||
|
||||
def involute_points(self, num=10):
|
||||
pts = linspace(self.involute_start, self.involute_end, num=num)
|
||||
fx = self.involute_function_x()
|
||||
x = array(list(map(fx, pts)))
|
||||
fy = self.involute_function_y()
|
||||
y = array(list(map(fy, pts)))
|
||||
fz = self.involute_function_z()
|
||||
z = array(list(map(fz, pts)))
|
||||
xyz = transpose(array([x, y, z]))
|
||||
# conical projection to z=1
|
||||
xy = [[i[0] / i[2], i[1] / i[2]] for i in xyz]
|
||||
xy = array([[0, 0]] + xy)
|
||||
|
||||
r_cut = self.r_f / self.z_f
|
||||
for i, point in enumerate(xy[1:]):
|
||||
if point.dot(point) >= r_cut ** 2:
|
||||
break
|
||||
if i > 0:
|
||||
self.add_foot = False
|
||||
intersection_point = intersection_line_circle(xy[i], point, r_cut)
|
||||
xy = array([intersection_point] + list(xy[i+1:]))
|
||||
xyz = [[p[0], p[1], 1] for p in xy]
|
||||
backlash_rot = rotation3D(self.backlash / 4)
|
||||
xyz = backlash_rot(xyz)
|
||||
return(xyz)
|
||||
|
||||
def points(self, num=10):
|
||||
pts = self.involute_points(num=num)
|
||||
rot = rotation3D(-pi/self.z/2)
|
||||
pts = rot(pts)
|
||||
ref = reflection3D(pi/2)
|
||||
pts1 = ref(pts)[::-1]
|
||||
if self.add_foot:
|
||||
return([
|
||||
array([pts[0], pts[1]]),
|
||||
array(pts[1:]),
|
||||
array([pts[-1], pts1[0]]),
|
||||
array(pts1[:-1]),
|
||||
array([pts1[-2], pts1[-1]])
|
||||
])
|
||||
else:
|
||||
return([pts, array([pts[-1], pts1[0]]), pts1])
|
||||
|
||||
def _update(self):
|
||||
self.__init__(z=self.z, clearance=self.clearance,
|
||||
pressure_angle=self.pressure_angle,
|
||||
pitch_angle=self.pitch_angle,
|
||||
backlash=self.backlash, module=self.module)
|
||||
46
pygears/computation.py
Normal file
@@ -0,0 +1,46 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
||||
# * *
|
||||
# * This program is free software; you can redistribute it and/or modify *
|
||||
# * it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
# * as published by the Free Software Foundation; either version 2 of *
|
||||
# * the License, or (at your option) any later version. *
|
||||
# * for detail see the LICENCE text file. *
|
||||
# * *
|
||||
# * This program is distributed in the hope that it will be useful, *
|
||||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
# * GNU Library General Public License for more details. *
|
||||
# * *
|
||||
# * You should have received a copy of the GNU Library General Public *
|
||||
# * License along with this program; if not, write to the Free Software *
|
||||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
# * USA *
|
||||
# * *
|
||||
# ***************************************************************************
|
||||
|
||||
import numpy as np
|
||||
from scipy import optimize as opt
|
||||
|
||||
|
||||
def compute_shifted_gears(m, alpha, t1, t2, x1, x2):
|
||||
"""Summary
|
||||
|
||||
Args:
|
||||
m (float): common module of both gears [length]
|
||||
alpha (float): pressure-angle [rad]
|
||||
t1 (int): number of teeth of gear1
|
||||
t2 (int): number of teeth of gear2
|
||||
x1 (float): relative profile-shift of gear1
|
||||
x2 (float): relative profile-shift of gear2
|
||||
|
||||
Returns:
|
||||
(float, float): distance between gears [length], pressure angle of the assembly [rad]
|
||||
"""
|
||||
def inv(x): return np.tan(x) - x
|
||||
inv_alpha_w = inv(alpha) + 2 * np.tan(alpha) * (x1 + x2) / (t1 + t2)
|
||||
|
||||
def root_inv(x): return inv(x) - inv_alpha_w
|
||||
alpha_w = opt.fsolve(root_inv, 0.)
|
||||
dist = m * (t1 + t2) / 2 * np.cos(alpha) / np.cos(alpha_w)
|
||||
return dist, alpha_w
|
||||
108
pygears/cycloid_tooth.py
Normal file
@@ -0,0 +1,108 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
||||
# * *
|
||||
# * This program is free software; you can redistribute it and/or modify *
|
||||
# * it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
# * as published by the Free Software Foundation; either version 2 of *
|
||||
# * the License, or (at your option) any later version. *
|
||||
# * for detail see the LICENCE text file. *
|
||||
# * *
|
||||
# * This program is distributed in the hope that it will be useful, *
|
||||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
# * GNU Library General Public License for more details. *
|
||||
# * *
|
||||
# * You should have received a copy of the GNU Library General Public *
|
||||
# * License along with this program; if not, write to the Free Software *
|
||||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
# * USA *
|
||||
# * *
|
||||
# ***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
from numpy import cos, sin, arccos, pi, array, linspace, transpose, vstack
|
||||
from ._functions import rotation, reflection
|
||||
|
||||
|
||||
class CycloidTooth():
|
||||
def __init__(self, z1=5, z2=5, z=14, m=5, clearance=0.12, backlash=0.00, head=0.0):
|
||||
self.m = m
|
||||
self.z = z
|
||||
self.clearance = clearance
|
||||
self.head = head
|
||||
self.backlash = backlash
|
||||
self.z1 = z1
|
||||
self.z2 = z2
|
||||
self._calc_gear_factors()
|
||||
|
||||
def _calc_gear_factors(self):
|
||||
self.d1 = self.z1 * self.m
|
||||
self.d2 = self.z2 * self.m
|
||||
self.phi = self.m * pi
|
||||
self.d = self.z * self.m
|
||||
self.da = self.d + 2*self.m + self.head * self.m
|
||||
self.di = self.d - 2*self.m - self.clearance * self.m
|
||||
self.phipart = 2 * pi / self.z
|
||||
|
||||
def epicycloid_x(self):
|
||||
def func(t):
|
||||
return(((self.d2 + self.d) * cos(t))/2. - (self.d2 * cos((1 + self.d / self.d2) * t))/2.)
|
||||
return(func)
|
||||
|
||||
def epicycloid_y(self):
|
||||
def func(t):
|
||||
return(((self.d2 + self.d) * sin(t))/2. - (self.d2 * sin((1 + self.d / self.d2) * t))/2.)
|
||||
return(func)
|
||||
|
||||
def hypocycloid_x(self):
|
||||
def func(t):
|
||||
return((self.d - self.d1)*cos(t)/2 + self.d1/2 * cos((self.d / self.d1 - 1) * t))
|
||||
return(func)
|
||||
|
||||
def hypocycloid_y(self):
|
||||
def func(t):
|
||||
return((self.d - self.d1)*sin(t)/2 - self.d1/2 * sin((self.d/self.d1 - 1)*t))
|
||||
return(func)
|
||||
|
||||
def inner_end(self):
|
||||
return(
|
||||
-((self.d1*arccos((2*self.d1**2 - self.di**2 -
|
||||
2*self.d1*self.d + self.d**2)/(2.*self.d1 *
|
||||
(self.d1 - self.d))))/self.d)
|
||||
)
|
||||
|
||||
def outer_end(self):
|
||||
return(
|
||||
(self.d2*arccos((2*self.d2**2 - self.da**2 +
|
||||
2*self.d2*self.d + self.d**2) /
|
||||
(2.*self.d2*(self.d2 + self.d))))/self.d
|
||||
)
|
||||
|
||||
def points(self, num=10):
|
||||
|
||||
inner_x = self.hypocycloid_x()
|
||||
inner_y = self.hypocycloid_y()
|
||||
outer_x = self.epicycloid_x()
|
||||
outer_y = self.epicycloid_y()
|
||||
t_inner_end = self.inner_end()
|
||||
t_outer_end = self.outer_end()
|
||||
t_vals_outer = linspace(0, t_outer_end, num)
|
||||
t_vals_inner = linspace(t_inner_end, 0, num)
|
||||
pts_outer_x = list(map(outer_x, t_vals_outer))
|
||||
pts_outer_y = list(map(outer_y, t_vals_outer))
|
||||
pts_inner_x = list(map(inner_x, t_vals_inner))
|
||||
pts_inner_y = list(map(inner_y, t_vals_inner))
|
||||
pts_outer = transpose([pts_outer_x, pts_outer_y])
|
||||
pts_inner = transpose([pts_inner_x, pts_inner_y])
|
||||
pts1 = vstack([pts_inner[:-2], pts_outer])
|
||||
rot = rotation(self.phipart / 4 - self.backlash)
|
||||
pts1 = rot(pts1)
|
||||
ref = reflection(0.)
|
||||
pts2 = ref(pts1)[::-1]
|
||||
one_tooth = [pts1, array([pts1[-1], pts2[0]]), pts2]
|
||||
return(one_tooth)
|
||||
|
||||
def _update(self):
|
||||
self.__init__(m=self.m, z=self.z, z1=self.z1, z2=self.z2,
|
||||
clearance=self.clearance, backlash=self.backlash, head=self.head)
|
||||
|
||||
240
pygears/involute_tooth.py
Normal file
@@ -0,0 +1,240 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
# ***************************************************************************
|
||||
# * *
|
||||
# * This program is free software; you can redistribute it and/or modify *
|
||||
# * it under the terms of the GNU Lesser General Public License (LGPL) *
|
||||
# * as published by the Free Software Foundation; either version 2 of *
|
||||
# * the License, or (at your option) any later version. *
|
||||
# * for detail see the LICENCE text file. *
|
||||
# * *
|
||||
# * This program is distributed in the hope that it will be useful, *
|
||||
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
# * GNU Library General Public License for more details. *
|
||||
# * *
|
||||
# * You should have received a copy of the GNU Library General Public *
|
||||
# * License along with this program; if not, write to the Free Software *
|
||||
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
|
||||
# * USA *
|
||||
# * *
|
||||
# ***************************************************************************
|
||||
|
||||
from __future__ import division
|
||||
from numpy import tan, cos, sin, sqrt, arctan, pi, array, linspace, transpose, vstack, ndarray
|
||||
from ._functions import nearestpts, rotation, reflection, trimfunc, diff_norm, translation
|
||||
|
||||
|
||||
class InvoluteTooth():
|
||||
def __init__(self, m=5, z=15, pressure_angle=20 * pi / 180., clearance=0.12, shift=0.5, beta=0.,
|
||||
undercut=False, backlash=0.00, head=0.00, properties_from_tool=False):
|
||||
self.pressure_angle = pressure_angle
|
||||
self.beta = beta
|
||||
self.m_n = m
|
||||
self.z = z
|
||||
self.undercut = undercut
|
||||
self.shift = shift
|
||||
self.clearance = clearance
|
||||
self.backlash = backlash
|
||||
self.head = head # factor, rename!!!
|
||||
self.properties_from_tool = properties_from_tool
|
||||
self._calc_gear_factors()
|
||||
|
||||
def _calc_gear_factors(self):
|
||||
if self.properties_from_tool:
|
||||
self.pressure_angle_t = arctan(
|
||||
tan(self.pressure_angle) / cos(self.beta))
|
||||
self.m = self.m_n / cos(self.beta)
|
||||
else:
|
||||
self.pressure_angle_t = self.pressure_angle
|
||||
self.m = self.m_n
|
||||
|
||||
self.pitch = self.m * pi
|
||||
self.c = self.clearance * self.m_n
|
||||
self.midpoint = [0., 0.]
|
||||
self.d = self.z * self.m
|
||||
self.dw = self.m * self.z
|
||||
self.da = self.dw + 2. * self.m_n + 2. * \
|
||||
(self.shift + self.head) * self.m_n
|
||||
self.df = self.dw - 2. * self.m_n - \
|
||||
2 * self.c + 2. * self.shift * self.m_n
|
||||
self.dg = self.d * cos(self.pressure_angle_t)
|
||||
self.phipart = 2 * pi / self.z
|
||||
|
||||
self.undercut_end = sqrt(-self.df ** 2 + self.da ** 2) / self.da
|
||||
self.undercut_rot = (-self.df / self.dw * tan(arctan((2 * ((self.m * pi) / 4. -
|
||||
(self.c + self.m_n) * tan(self.pressure_angle_t))) / self.df)))
|
||||
|
||||
self.involute_end = sqrt(self.da ** 2 - self.dg ** 2) / self.dg
|
||||
self.involute_rot1 = sqrt(-self.dg ** 2 + (self.dw) ** 2) / self.dg - arctan(
|
||||
sqrt(-self.dg ** 2 + (self.dw) ** 2) / self.dg)
|
||||
self.involute_rot2 = self.m / \
|
||||
(self.d) * (pi / 2 + 2 * self.shift * tan(self.pressure_angle_t))
|
||||
self.involute_rot2 = 1 / self.z * \
|
||||
(pi / 2 + 2 * self.shift * tan(self.pressure_angle_t))
|
||||
self.involute_rot = self.involute_rot1 + self.involute_rot2
|
||||
self.involute_start = 0.
|
||||
if self.dg <= self.df:
|
||||
self.involute_start = sqrt(self.df ** 2 - self.dg ** 2) / self.dg
|
||||
|
||||
def undercut_points(self, num=10):
|
||||
pts = linspace(0, self.undercut_end, num=num)
|
||||
fx = self.undercut_function_x()
|
||||
x = array(list(map(fx, pts)))
|
||||
fy = self.undercut_function_y()
|
||||
y = array(list(map(fy, pts)))
|
||||
xy = transpose([x, y])
|
||||
rotate = rotation(
|
||||
self.undercut_rot + self.phipart / 2 - self.backlash / 4)
|
||||
xy = rotate(xy)
|
||||
return(array(xy))
|
||||
|
||||
def involute_points(self, num=10):
|
||||
pts = linspace(self.involute_start, self.involute_end, num=num)
|
||||
fx = self.involute_function_x()
|
||||
x = array(list(map(fx, pts)))
|
||||
fy = self.involute_function_y()
|
||||
y = array(list(map(fy, pts)))
|
||||
rot = rotation(self.involute_rot - self.backlash / 4)
|
||||
xy = rot(transpose(array([x, y])))
|
||||
return(xy)
|
||||
|
||||
def points(self, num=10):
|
||||
l1 = self.undercut_points(num=num)
|
||||
l2 = self.involute_points(num=num)
|
||||
s = trimfunc(l1, l2[::-1])
|
||||
if self.undercut:
|
||||
if isinstance(s, ndarray):
|
||||
u1, e1 = s
|
||||
else:
|
||||
u1, e1 = nearestpts(l2, l1)
|
||||
else:
|
||||
u1 = False
|
||||
if self.dg > self.df:
|
||||
u1 = vstack(
|
||||
[[l2[0] * self.df / (diff_norm(l2[0], [0, 0]) * 2)], [l2[0]]])
|
||||
e1 = l2
|
||||
else:
|
||||
e1 = l2
|
||||
|
||||
reflect = reflection(0)
|
||||
e2 = reflect(e1)[::-1]
|
||||
if isinstance(u1, bool):
|
||||
one_tooth = [e1, [e1[-1], e2[0]], e2]
|
||||
else:
|
||||
u2 = reflect(u1)[::-1]
|
||||
one_tooth = [u1, e1, [e1[-1], e2[0]], e2, u2]
|
||||
return(one_tooth)
|
||||
|
||||
def gearfunc(self, x):
|
||||
rot = rotation(2 * x / self.dw, self.midpoint)
|
||||
return(rot)
|
||||
|
||||
def undercut_function_x(self):
|
||||
def func(psi):
|
||||
return(
|
||||
cos(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
|
||||
(self.df ** 2 * tan(psi) ** 2) / 4.))
|
||||
return(func)
|
||||
|
||||
def undercut_function_y(self):
|
||||
def func(psi):
|
||||
return(
|
||||
sin(psi - (self.df * tan(psi)) / self.dw) * sqrt(self.df ** 2 / 4 +
|
||||
(self.df ** 2 * tan(psi) ** 2) / 4.))
|
||||
return(func)
|
||||
|
||||
def involute_function_x(self):
|
||||
def func(phi):
|
||||
return(self.dg / 2 * cos(phi) + phi * self.dg / 2 * sin(phi))
|
||||
return(func)
|
||||
|
||||
def involute_function_y(self):
|
||||
def func(phi):
|
||||
return(self.dg / 2 * sin(phi) - phi * self.dg / 2 * cos(phi))
|
||||
return(func)
|
||||
|
||||
def _update(self):
|
||||
if not hasattr(self, "properties_from_tool"):
|
||||
self.properties_from_tool = True
|
||||
self._calc_gear_factors()
|
||||
|
||||
|
||||
class InvoluteRack(object):
|
||||
def __init__(self, m=5, z=15, pressure_angle=20 * pi / 180., thickness=5, beta=0, head=0, clearance=0.25,
|
||||
properties_from_tool=False, add_endings=False, simplified=False):
|
||||
self.pressure_angle = pressure_angle
|
||||
self.thickness = thickness
|
||||
self.m = m
|
||||
self.z = z
|
||||
self.beta = beta
|
||||
self.head = head
|
||||
self.clearance = clearance
|
||||
self.properties_from_tool = properties_from_tool
|
||||
self.add_endings = add_endings
|
||||
self.simplified = simplified
|
||||
|
||||
|
||||
# this is not good. Find better way to stay backward compatible -> versions
|
||||
def _update(self):
|
||||
if not hasattr(self, "add_endings"):
|
||||
self.add_endings = True
|
||||
if not hasattr(self, "simplified"):
|
||||
self.simplified = False
|
||||
|
||||
def points(self, num=10):
|
||||
import copy
|
||||
m, m_n, pitch, pressure_angle_t = self.compute_properties()
|
||||
|
||||
a = (2 + self.head + self.clearance) * m_n * tan(pressure_angle_t)
|
||||
b = pitch / 4 - (1 + self.head) * m_n * tan(pressure_angle_t)
|
||||
tooth = [
|
||||
[-m_n * (1 + self.clearance), -a - b],
|
||||
[m_n * (1 + self.head), -b],
|
||||
[m_n * (1 + self.head), b],
|
||||
[-m_n * (1 + self.clearance), a + b]
|
||||
]
|
||||
teeth = [tooth]
|
||||
trans = translation([0., pitch, 0.])
|
||||
for i in range(self.z - 1):
|
||||
if self.simplified and i > 3 and i < (self.z - 6):
|
||||
tooth = trans(tooth).tolist()
|
||||
else:
|
||||
tooth = trans(tooth).tolist()
|
||||
teeth.append(copy.deepcopy(tooth))
|
||||
if self.simplified and (i == 3):
|
||||
teeth[-1].pop()
|
||||
teeth[-1].pop()
|
||||
teeth[-1][-1][0] = 0
|
||||
teeth[-1][-1][1] -= a / 2
|
||||
if self.simplified and (i == self.z - 6):
|
||||
teeth[-1].pop(0)
|
||||
teeth[-1].pop(0)
|
||||
teeth[-1][0][0] = 0
|
||||
teeth[-1][0][1] += a / 2
|
||||
|
||||
teeth = array([v for t in teeth for v in t]) # flattening
|
||||
if self.add_endings:
|
||||
ext1 = teeth[0] + array([0., a + b - pitch / 2])
|
||||
ext2 = teeth[-1] - array([0., a + b - pitch / 2])
|
||||
teeth = [ext1.tolist(), ext1.tolist()] + teeth.tolist() + [ext2.tolist(), ext2.tolist()]
|
||||
else:
|
||||
teeth = [teeth[0].tolist()] + teeth.tolist() + [teeth[-1].tolist()]
|
||||
#teeth.append(list(teeth[-1]))
|
||||
teeth[0][0] -= self.thickness
|
||||
#teeth.append(list(teeth[0]))
|
||||
teeth[-1][0] -= self.thickness
|
||||
teeth.append(teeth[0])
|
||||
return array(teeth)
|
||||
|
||||
def compute_properties(self):
|
||||
if self.properties_from_tool:
|
||||
pressure_angle_t = arctan(tan(self.pressure_angle) / cos(self.beta))
|
||||
m = self.m / cos(self.beta)
|
||||
m_n = self.m
|
||||
else:
|
||||
pressure_angle_t = self.pressure_angle
|
||||
m = self.m
|
||||
m_n = self.m
|
||||
|
||||
pitch = m * pi
|
||||
return m, m_n, pitch, pressure_angle_t
|
||||
39
pygears/profile.py
Normal file
@@ -0,0 +1,39 @@
|
||||
import numpy as np
|
||||
from .involute_tooth import InvoluteTooth, InvoluteRack
|
||||
from .bevel_tooth import BevelTooth
|
||||
from .cycloid_tooth import CycloidTooth
|
||||
from ._functions import rotation, rotation3D
|
||||
|
||||
|
||||
class _GearProfile(object):
|
||||
rot3D = False
|
||||
def profile(self, num=10):
|
||||
tooth = self.points(num=num)
|
||||
tooth = [list(point) for wire in tooth for point in wire]
|
||||
if self.rot3D:
|
||||
rot = rotation3D( np.pi * 2 / self.z)
|
||||
else:
|
||||
rot = rotation(- np.pi * 2 / self.z)
|
||||
profile = tooth
|
||||
for i in range(self.z - 1):
|
||||
tooth = rot(tooth).tolist()
|
||||
profile = profile + tooth
|
||||
profile.append(profile[0])
|
||||
return np.array(profile)
|
||||
|
||||
class InvoluteProfile(InvoluteTooth, _GearProfile):
|
||||
pass
|
||||
|
||||
class CycloidProfile(CycloidTooth, _GearProfile):
|
||||
pass
|
||||
|
||||
class BevelProfile(BevelTooth, _GearProfile):
|
||||
rot3D = True
|
||||
|
||||
class InvoluteRackProfile(InvoluteRack):
|
||||
def profile(self):
|
||||
return self.points()
|
||||
|
||||
|
||||
|
||||
|
||||
15
setup.py
Normal file
@@ -0,0 +1,15 @@
|
||||
from setuptools import setup
|
||||
from pygears import __version__
|
||||
|
||||
setup(name='freecad.gears',
|
||||
version=str(__version__),
|
||||
packages=['freecad',
|
||||
'freecad.gears',
|
||||
'pygears'],
|
||||
maintainer="looooo",
|
||||
maintainer_email="sppedflyer@gmail.com",
|
||||
url="https://github.com/looooo/FCGear",
|
||||
description="gears for FreeCAD",
|
||||
install_requires=['numpy'],
|
||||
include_package_data=True
|
||||
)
|
||||