中文摘要：

基于连续体结构拓扑优化技术和SIMP人工材料密度方法，以机构的输出位移和输入位移之比作为优化目标，建立柔性位移放大机构的拓扑优化设计的数学模型，优化算法采用优化准则法，并推导了迭代公式，采用网格过滤法消除棋盘格和网格依赖现象。数值算例证明了研究方法的有效性。分析了不同优化参数对机构放大倍数的影响。对拓扑优化图形中的单点铰接问题给出了后处理方法。

英文摘要：

A mathematical model is established for optimal topology design of compliant motion amplification mech- anisms using SIMP artifieial material density method based on the theory of topological optimization technology of continuum structures. The rate of output displacement and input displacement is employed as the objection function. The iterative formulation is deduced using the optimal criteria method. A filtering scheme is used to obtain checker- board-free and mesh-independent designs. Numerical examples are presented for demonstration of the effectiveness of the proposed approaches. The effect of different parameters on the factor of motion amplification has also been analyzed. The post-processing method for the problem of ＇point flexures＇ in compliant topology is given.