Optimization-Based Synthesis of Grashof Geared Five-Bar Mechanisms

Abstract

A quasi-Newton optimization routine and Grashof criteria for geared five-bar mechanisms are used to develop a Grashof five-bar mechanism synthesis routine. Sequential transformations mapping Grashof mechanism parameters satisfying sub-type specific upper and lower constraints are used. Convergence criteria of: (i) objective function value change, (ii) mechanism parameter change, and (iii) task satisfaction are used. These criteria, combined with search restarts, ensure the synthesis of an acceptable mechanism. Example results demonstrate the effectiveness of the routine.