Approximate Synthesis of Plane Four-Bar Mechanism for Function Generation

Abstract

By extending the five point approximation and the fifth order approximation presented by F. Freudenstein, an analytical method is established for the synthesis of a plane four-bar mechanism to generate approximately a desired founction over a finite interval. This method may be regarded as a general method in the synthesis where the input and output scale factors are specified in advance. Moreover, in order to reduce the structural error of the function generator designed by using this method, a new numerical procedure for respacing precision points is suggested on the basis of the tenth degree polynomial closely approximating the structuralerror.