Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering

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

Authors
Pei-chieh Chin, Hsiang-chen Hsu, Shen-li Fu
Corresponding Author
Pei-chieh Chin
Available Online July 2016.
DOI
https://doi.org/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.
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This is an open access article distributed under the CC BY-NC license.

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Volume Title
Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering
Series
Advances in Engineering Research
Publication Date
July 2016
ISBN
978-94-6252-237-4
ISSN
2352-5401
DOI
https://doi.org/10.2991/mcae-16.2016.21How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - https://doi.org/10.2991/mcae-16.2016.21
ID  - Chin2016/07
ER  -