Five Position Triad Synthesis With Applications to Four- and Six-Bar Mechanisms

Abstract

The displacement equations for trials with motion generation and prescribed timing capabilities are developed and cast in polynomial forms. These equations are solved for five precision points using a continuation method. A detailed description of the method used to generate the solution curves is provided in the paper. Two infinities of solutions can be obtained for the problem under consideration as we are solving four equations in six unknowns. The solution procedure discussed is applied to synthesize a four-bar function generating mechanisms and a six-bar mechanism.