基于不同过滤函数的ICM拓扑优化混合建模方法

基于独立连续映射（ICM）法中设计变量独立性的特点，提出一种混合插值建模方法。该方法基于两类常见插值函数分别对单元体积、单元刚度阵进行过滤识别，通过两两组合，得到四种不同的拓扑优化模型。四种模型中，除体积目标函数一、二阶导数表达式不同外，它们的结构响应量的敏度分析和优化建模方法相同，从而保证了优化求解算法的一致性。通过拓扑优化数值算例对比分析了不同模型参数下的拓扑优化结果，结果表明，混合建模方法在连续体结构拓扑优化建模中具有可行性和有效性。

ICM Method for Topological Optimization of Continuum Structure Based on Different Filter Functions

Due to the independence of design variables in independent,continuous,mapping(ICM) method,a new mixed modeling method was presented.SIMP and RAMP interpolation schemes were used as filter functions of element and volume element stiffness matrix.Based on mutual combination of filter functions, four different topological optimization models were presented. Compared with each other, the only difference among four models is about expression and numerical value of derivatives, so the same algorithm for the new models is ensured.New topological optimization model was illustrated by the examples of topological optimization problems with different parameters. Results are shown to demonstrate the feasibility and efficiency of method and model proposed herein.