Dimensional synthesis of eight-bar mechanism based on path generation

This paper presents dimensional synthesis procedure for an eight-bar, single degree of freedom, 10R mechanism that traces a specified trajectory. The mechanism is dimensionally synthesized to solve the problem of generating a path that comprises of a given number of precision points. During the synthesis, various standard dyad/triad and analytical loop closure equations are formed and generated for different displaced positions of the mechanism. These equations are written using complex numbers which presents a perfect tool for the purpose of modelling planar kinematic linkages. The solution of these equations is obtained with the help of a MATLAB code. The dimensional synthesis of the eight-bar mechanism is demonstrated and verified by a numerical example. The final dimensions and orientations of different links of the mechanism has been graphically plotted and presented in results.