Compliant Mechanism Synthesis for Guidance Task Based on Geometrical Similarity Transformation

Abstract

The synthesis methodology based on similarity transformation of the pole maps is regarded as an effective approach for guidance synthesis of rigid body mechanisms. However, this method has not been applied to the synthesis of compliant mechanisms. Hence it is necessary to demonstrate the feasibility of extending the application to compliant mechanisms. The theoretical demonstration of kinematic geometrical similarity of compliant mechanism is proposed in this paper. Since the compliant mechanism has the same characteristics as the rigid body mechanism before and after the similarity transformation, the synthesis methodology based on similarity transformation of the pole maps can be extended to the field of compliant mechanisms. Then this paper takes the compliant geared linkages as an example to illustrate the method of establishing function module, which includes the guidance angle performance, the guidance point trajectory equation and the pole maps. Finally, the guidance synthesis process of the compliant mechanisms is presented by a numerical example, and it is proved that this method is effective and applicable.