Topology optimization of hinge-free compliant mechanisms using level set methods

Abstract

A new level set-based multi-objective optimization method is proposed for topological design of hinge-free compliant mechanisms. Firstly, the flexibility requirement of compliant mechanisms is formulated by using the mutual energy. Two types of mean compliance are developed to meet the stiffness requirement. Secondly, several objective functions are developed for designing hinge-free compliant mechanisms based on the weighting method in which a new scheme for determining weighting factors is used. Thirdly, several numerical examples are performed to demonstrate the validity of the proposed method. It is shown that the resulting compliant mechanism configurations contain only strip-like members which are suitable for generating distributed compliance and decreasing stress concentration.

Keywords:

• compliant mechanism
• distributed compliance
• level set method
• weighted sum
• de facto hinges