具有位移和频率约束的连续体结构拓扑优化的一种混合方法  

HYBRID METHOD OF TOPOLOGY OPTIMIZATION FOR CONTINUUM STRUCTURES BASED ON DISPLACEMENT AND FREQUENCY CONSTRAINTS

作　　者：何建军[1] 姜节胜[1] 

机构地区：[1]西北工业大学振动工程研究所,西安710072

出　　处：《机械强度》2008年第6期941-946,共6页Journal of Mechanical Strength

基　　金：国家自然科学基金资助项目(10472093)~~

摘　　要：研究位移和频率约束下连续体结构的拓扑优化问题,充分利用优化准则法的特点,并有效结合ICM(indepen-dent,continuous,mapping)方法建模、独立灵敏度分析、滤波、灵敏度再分配、基于均值的两端分化策略和数学形态学的处理等多个步骤进行求解。数值算例的结果表明文中方法计算效率高,优化结果较稳定、合理。Topology optimization of continuum structure by taking account of displacement and frequency constraints simultaneously is studied. The topological optimization problem is solved by optimality criteria, which is combined with the several steps of modeling based on ICM （independent, continuous, mapping） method, individual sensitivity analysis, filter, sensitivity redistribution, strategy of two-terminal division based on average value and mathematical morphology processing. Numerical examples demonstrate that the proposed method is high efficiency, and the results are stable and rational for topology optimization problem of continuum structure.

关 键 词：连续体结构 拓扑优化 灵敏度再分配 数学形态学 

分 类 号：TB114.3[理学—概率论与数理统计]