Optimal Design of Proportion Compliant Mechanisms with Corner-filleted Flexure Hinges

Abstract — This paper presents a new analysis approach for optimal design of proportional compliant mechanisms with corner-filleted flexure hinges. It is the first time to use pseudo rigid body model (PRBM) for cantilever beams to analyze the connecting flexure hinges. The rotation center and rotational angle of each flexure hinge are corrected by means of charac-teristics radius factor (γ) and parametric angle coefficient (Cθ). The displacement proportion equation for such mechanisms is derived according to the new approach. Combining the new proposed design equation with the existed stiffness equation, a new proportion compliant mechanism with corner-filleted flexure hinges is designed by means of the least squares optimization. The designed models are verified by finite element analysis. I