A novel objective function for path generation synthesis of the four-bar mechanism with prescribed timing

Document Type : Research Article

Authors

1 Shahrood University of Technology

2 Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran.

3 Shahrood university of technology

Abstract

Dimensional synthesis of the four-bar mechanisms, as the simplest and most widely used linkage, is always one of the main issues raised in the field of mechanism design. In the past, geometric and graphical analysis methods were used to design these mechanisms, but with the advancement of technology in recent decades, numerical optimization methods and meta-heuristic algorithms have been utilized more.  Moreover, it is possible to solve problems more precisely and consider a higher number of precision points. The path generation synthesis problem of this mechanism has been solved using different algorithms and in different design modes, including with and without prescribed timing. The synthesis problem with prescribed timing is more difficult and has a higher path generation error. In this research, to solve the path generation synthesis problem of the four-bar mechanism with prescribed timing, a novel objective function is utilized. The proposed function includes two terms, path error and angle error. This new objective function leads to a lower error for path generation with prescribed timing.  Four different designs are considered and their results, where extracted by the PSO algorithm, are compared. The results of solving this problem for three numerical examples show that the design in the proposed way, has fewer path generation errors.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 55, Issue 12
March 2024
Pages 1397-1422

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