Articles | Volume 13, issue 2
Research article
28 Sep 2022
Research article |  | 28 Sep 2022

TGA-based solutions map method for four-position synthesis of planar 4R linkage

Yehui Zhao, Lijun Xue, Guangming Wang, Fanglei Zou, Yue Song, and Hongjian Zhang

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Cited articles

Baskar, A. and Bandyopadhyay, S.: A homotopy-based method for the synthesis of defect-free mechanisms satisfying secondary design considerations, Mech. Mach. Theory, 133, 395–416,, 2019. 
Cao, Y. and Han, J.: Solution region-based synthesis methodology for spatial HCCC linkages, Mech. Mach. Theory, 143, 103619,, 2020. 
Cera, M. and Pennestrì, E.: Generalized Burmester points computation by means of Bottema's instantaneous invariants and intrinsic geometry, Mech. Mach. Theory, 129, 316–335,, 2018. 
Cera, M. and Pennestrì, E.: The mechanical generation of planar curves by means of point trajectories, line and circle envelopes: A unified treatment of the classic and generalized Burmester problem, Mech. Mach. Theory, 142, 103580,, 2019. 
Chauhan, S., Singh, M., and Aggarwal, A. K.: Diversity driven multi-parent evolutionary algorithm with adaptive non-uniform mutation, J. Exp. Theor. Artif. In., 33, 775–806,, 2021. 
Short summary
In this study, we want to design a 4R linkage so that a point on its coupler can pass through the four specified positions. However, for most synthesis problems, the number of feasible solutions in the solution domain is seriously insufficient. Therefore, a solutions map method was proposed to realize the visualization of the solution domain and a telomere genetic algorithm (TGA) was proposed to optimize solutions map, so as to improve the number and proportion of feasible solutions.