连续体结构拓扑优化的一种改进变密度法及其应用

An improved variable density method and application for topology optimization of continuum structures

针对连续体结构拓扑优化设计变密度方法SIMP和RAMP,因惩罚函数选取的不合理而导致拓扑结构形式不甚合理的问题,本文提出了一种新的惩罚函数,并基于此函数导出了相应的迭代设计公式,几个典型考题的数值结果,说明了方法的可行性和有效性。

Considering the fact that an unreasonable topological form of sructure is sometimes resulted with an improper penalty function of the variable-density-methods, SIMP and RAMP, a new penalty function is proposed in this paper. Based on the new penalty function, the corresponding topology optimum design model is submitted and the iterative design formulae are presented too. Several typical examples are given to demonstrate the method.