TY - JOUR
T1 - Optimum Synthesis of Four-Bar Mechanism by Using Relative Angle Method
T2 - A Comparative Performance Study
AU - Valencia-Segura, Luis Ernesto
AU - Villarreal-Cervantes, Miguel Gabriel
AU - Corona-Ramirez, Leonel German
AU - Cuenca-Jimenez, Francisco
AU - Castro-Medina, Roberto
N1 - Publisher Copyright:
© 2013 IEEE.
PY - 2021
Y1 - 2021
N2 - In this paper, the dimensional synthesis of the four-bar mechanism for path generation is formulated using the relative angle motion analysis and the link geometry parameterization with Cartesian coordinates. The Optimum Dimensional Synthesis using Relative Angles and the Cartesian space link Parameterization (ODSRA+CP) is stated as an optimization problem, and the solution is given by the differential evolution variant DE/best/1/bin. This study investigates the behavior and performance of such formulation and performs a comparative empirical study with the well-known synthesis method based on vector-loop equation motion analysis where different modifications in the metaheuristic algorithms are established in the literature to improve the obtained solution. Five study cases of dimensional synthesis for path generation with and without prescribed timing are solved and analyzed. The empirical results show that the way of stating the optimization problem in the ODSRA+CP significantly improves the search process for finding promising solutions in the optimizer without requiring algorithm modifications. Therefore, it is confirmed that the optimizer search process in the optimal synthesis of mechanisms is not the only way of improving the obtained solutions, but also the optimization problem formulation has a significant influence on the search for better solutions.
AB - In this paper, the dimensional synthesis of the four-bar mechanism for path generation is formulated using the relative angle motion analysis and the link geometry parameterization with Cartesian coordinates. The Optimum Dimensional Synthesis using Relative Angles and the Cartesian space link Parameterization (ODSRA+CP) is stated as an optimization problem, and the solution is given by the differential evolution variant DE/best/1/bin. This study investigates the behavior and performance of such formulation and performs a comparative empirical study with the well-known synthesis method based on vector-loop equation motion analysis where different modifications in the metaheuristic algorithms are established in the literature to improve the obtained solution. Five study cases of dimensional synthesis for path generation with and without prescribed timing are solved and analyzed. The empirical results show that the way of stating the optimization problem in the ODSRA+CP significantly improves the search process for finding promising solutions in the optimizer without requiring algorithm modifications. Therefore, it is confirmed that the optimizer search process in the optimal synthesis of mechanisms is not the only way of improving the obtained solutions, but also the optimization problem formulation has a significant influence on the search for better solutions.
KW - Mechanism synthesis
KW - differential evolution
KW - four-bar mechanism
KW - optimization
UR - http://www.scopus.com/inward/record.url?scp=85115739143&partnerID=8YFLogxK
U2 - 10.1109/ACCESS.2021.3115444
DO - 10.1109/ACCESS.2021.3115444
M3 - Artículo
AN - SCOPUS:85115739143
SN - 2169-3536
VL - 9
SP - 132990
EP - 133010
JO - IEEE Access
JF - IEEE Access
ER -