集中柔度全柔性机构拓扑优化设计研究

Topology optimization of lumped full compliant mechanisms

根据集中柔度全柔性机构特点,基于连续体拓扑优化技术,采用SIMP人工材料密度方法,以机构的刚度和柔度要求相结合的功能函数作为优化目标,建立集中柔度全柔性机构拓扑优化设计模型。采用优化准则法进行数值计算,并推导了迭代公式。通过所建立的优化模型设计出的机构拓扑图形具有"集中柔度"特征,为集中柔度全柔性机构的设计提供了基础。数值算例证明了研究方法的有效性。

According to the feature of lumped full compliant mechanisms ,a formulation is proposed for optimal topology design of lumped full compliant mechanisms using SIMP artificial material density method based on the theory of topological optimization technology of continuum structures. Both stiffness and compliance are involved in this formulation. The iterative formulation is deduced using the optimality criteria method. The topological figure derived from this formulation is characterized with ＂lumped compliance＂. It helps design the lumped full compliant mechanisms. Numerical examples have been presented for demonstration of the effectiveness of the proposed approaches.