Optimal synthesis of function-generating slider-crank mechanism based on a closed-form solution using five design parameters

Authors : Hüseyin MUTLU, Ali Magdi Sayed SOLİMAN, Gökhan KARAPINARLI

Pages : 183-192

Doi:10.31127/tuje.740005

View : 22 | Download : 12

Publication Date : 2021-10-01

Article Type : Research Paper

Abstract :Kinematic dimensional synthesis is one of the essential steps during the process of design. It is classified into three tasks: function generation, path generation, and motion generation. In this paper, a design method is presented to solve the synthesis of the slider-crank mechanism for function generation based on a closed-form solution with five design parameters. The success criterion of a method used for function generation depends on the structural error function within an operational domain of the slider-crank mechanism. The structural error reduction is related to the number of design parameters utilized in mechanism synthesis, and the effective maximum number of design parameters for the slider-crank mechanism is five. In this study, the closed-form synthesis is found using three methods: precision point method, sub-domain method, and galerkin method. The system of equations is reduced to a twelfth-degree univariate polynomial equation, and thus all the available solutions are obtained. The effectiveness of this design method is tested with some examples of commonly used test functions, namely e x , sininsert ignore into journalissuearticles values(x);, taninsert ignore into journalissuearticles values(x); and lninsert ignore into journalissuearticles values(x);, using a developed computer program. This design method gives lower structural error than traditional methods in kinematics literature.
Keywords : Kinematic Synthesis, Function Generation, Slider Crank Mechanism, Closed Form Solution