Contributions to Synthesis of Plane Linkages by the Use of Zero Order Transmission Functions

A method for the dimensional synthesis of a plane mechanism with more than one degree of mobility is developed when the positions of the driven link are given in correlation with those of the driving links. The synthesis is developed both for associated relative positions and, also, for associated absolute positions. It is assumed that the number of positions given is the maximum for which, through synthesis, a single mechanism is obtained. For the solution of the problem complex numbers are used and Newton’s method is recommended for solving the nonlinear systems of equations.