The Application of General Homotopy Method on Planar Four-Bar Path Synthesis

DOI

10.2991/mcae-16.2016.21How to use a DOI?

Keywords

homotopy method; four-bar mechanisms; point-path synthesis

Abstract

Homotopy method is a numerical continuation method that can locate all the zeros of any given function without the specifying of initial estimates. With the assistance of proper programming technique, homotopy method can be efficient and reliable. The application of homotopy method on kinematic synthesis can resolve the inherent shortcomings that most numerical methods possess. This work presents a demonstration of homotopy method on the path synthesis of planar four-bar mechanisms. The example of nine point-path synthesis is provided. The results of all real solutions are tabulated and the corresponding mechanisms are graphically displayed so comparisons can be made with past publications.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Pei-chieh Chin
AU  - Hsiang-chen Hsu
AU  - Shen-li Fu
PY  - 2016/07
DA  - 2016/07
TI  - The Application of General Homotopy Method on Planar Four-Bar Path Synthesis
BT  - Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering
PB  - Atlantis Press
SP  - 82
EP  - 85
SN  - 2352-5401
UR  - https://doi.org/10.2991/mcae-16.2016.21
DO  - 10.2991/mcae-16.2016.21
ID  - Chin2016/07
ER  -