Abstract
Coupler-curve synthesis is a classical problem in linkage kinematics. A recent study shows that the solutions to the coupler-curve synthesis problems of four-bar linkages can be obtained based on a combination of analytical and graphical methods. In this work, a fully analytical method is developed to find the exact solutions of coupler-curve equations for the planar four-bar linkages. The developed method is based on a novel algebraic formulation of the system of coefficient equations, which yields a small system of four equations and four variables about the positions of pivoting joints. With any given algebraic coupler curve of a planar four-bar linkage, the position parameters of pivoting joints can be easily solved, while the other parameters can be calculated by the remaining equations. Two cases are provided to demonstrate and validate the fully analytical method.
Originalsprog | Engelsk |
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Artikelnummer | 104070 |
Tidsskrift | Mechanism and Machine Theory |
Vol/bind | 155 |
ISSN | 0094-114X |
DOI | |
Status | Udgivet - jan. 2021 |
Bibliografisk note
Funding Information:The first and second authors acknowledge the financial support provided by the Key Research and Development Project of Shanxi Province (Grant Nos. 201803D421027 , 201903D421051 ), the Foundation of North University of China (Grant No. 20191604 ).
Publisher Copyright:
© 2020