Nine-link plane mechanisms for two-variable function generation—II. Synthesis

Methods of synthesizing nine-link plane mechanisms for two-variable function generation are presented. These are simplified procedures which employ identical relative positions and identical absolute positions of links. These techniques split the problem into syntheses of two single-freedom linkages when proper mechanisms are chosen, out of the available nine-link mechanisms. Up to 16 precision points (specified) can be directly satisfied, depending on the mechanism chosen. Numerical examples demonstrate that nine-link mechanisms as two-variable function generators are a practical proposition, especially with the synthesis techniques presented.