Mathematical Construction for Mechanism Synthesis using Motion Generation Function

Abstract

Looking into today’s mechanism synthesis we see that this well-developed field has been studied from many perspectives such as; transmission angle, working envelop, Grashof criteria and many others. Also, many mathematical representations were used to solve the problems in this field such as vectorial methods, exponent methods dimensionless analysis, genetic algorithm, artificial intelligence. This paper will be presenting new mathematical approach to solve the mechanism synthesis using motion generation function. This proposed method will study how far the proposed mathematical model (i.e. matrix inversion) will ensure the mechanism to go through prescribed poses or try to approximate them with tolerable error.