PLtoothevolvente
by Tim Lueth & Yannick Krieger, SG-Lib Toolbox: SolidGeometry 5.6 - PL/Point Lists
Introduced first in SolidGeometry 4.5, Creation date: 2019-04-09, Last change: 2025-09-14
returns the evolvent between base circle and outer circle
Description
d= z * m
This function by Tim Lueth and Yannick Krieger in SG-Lib 4.5 is a complete redesign of the former PLgearDIN function of 2012-10-28. It support teeth numbers starting with 3.
See Also: PLevolvente
Example Illustration
Syntax
[PLT,PLE,PL2,PLG]=PLtoothevolvente([rb,z,ra,rf,ratio,n])
Input Parameter
rb: | | base circle = d*cos(20/180*pi) |
z: | | number of teeth |
ra: | | outer circle = (z+2)*m |
rf: | | foot circle = df=(z-2.5)*m |
ratio: | | ratio default is 0.7 |
n: | | number of auxiliary points |
Output Parameter
PLT: | | Point list of on etooth |
PLE: | | first flank starting at base circle |
PL2: | | second flank starting at base circle |
PLG: | | Complete Contour of the Gear contour |
Examples
PLtoothevolvente(100,21,120,90)
PLtoothevolvente(100,21,120,105)References
Traeger, M.F.; Krieger, Y.S.; Lueth, T.C.: "Automated construction of gear racks, spur gears and helical gears using Matlab & STL files for rapid manufacturing ", Advanced Intelligent Mechatronics (AIM), 2013 IEEE/ASME International Conference on, 1603 - 1608
Copyright 2019-2025 Tim C. Lueth. All rights reserved. The code is the property of Tim C. Lueth and may not be redistributed or modified without explicit written permission. This software may be used free of charge for academic research and teaching purposes only. Commercial use, redistribution, modification, or reverse engineering is strictly prohibited. Access to source code is restricted and granted only under specific agreements. For licensing inquiries or commercial use, please contact: Tim C. Lueth
Last html export of this page out of FM database by TL: 2025-09-21