Coupler-curve optimization of planar four bar mechanism based on an analytical method

Document Type : Research Paper


Faculty of Engineering, Department of Mechanics, Imam Khomeini International University


In this paper the optimal dimensional synthesis of a planar four bar mechanism is demonstrated based on an analytical method. The aim of the optimal dimensional synthesis of the mechanism is to design a mechanism so that a certain point of the coupler can cross the fitted curve over a certain number of points. For this reason, the kinematics relations of the mechanism are obtained first and continuous coupler-curve equation coefficients is considered as a function of the design parameters. In this study, the optimization method of multi-variable functions is considered and design parameters are easily calculated. The results of this research show that the performance of the proposed method is very favorable and there is a significant difference between the primitive coupler-curve and the optimized one, and this comparison is presented both graphically and tabular.


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