Paper
20 September 2022 An optimal design method of reproducing a given trajectory for planar four-bar linkage
Jinge Xu
Author Affiliations +
Proceedings Volume 12261, International Conference on Mechanical Design and Simulation (MDS 2022); 122611I (2022) https://doi.org/10.1117/12.2638597
Event: Second International Conference on Mechanical Design and Simulation (MDS 2022), 2022, Wuhan, China
Abstract
This paper researched on how to realize a given trajectory more accurately by designing a planar four-bar linkage. In order to reproducing a given curve accurately, analytical synthesis and optimal algorithm were used in this paper. Mathematical model was established at first, the dimension of each link, location of the fixed hinge center and some angles between the links were taken as design variables. Then the objective function is established by calculating the root mean square error between the coupler curve and the given curve at the specified N points. According to Grashof Criteria and the minimum value of the transmission angle, the constraints of the design were determined. The iterative method is used to find the optimal solution of the objective function. Thirdly, an optimal design program were written through the use of Matlab Software to achieve the method. Finally, an example is given to verify the feasibility of the optimization program.
© (2022) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jinge Xu "An optimal design method of reproducing a given trajectory for planar four-bar linkage", Proc. SPIE 12261, International Conference on Mechanical Design and Simulation (MDS 2022), 122611I (20 September 2022); https://doi.org/10.1117/12.2638597
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KEYWORDS
MATLAB

Computer programming

Evolutionary algorithms

Optimization (mathematics)

Iterative methods

Mathematical modeling

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