摘要
分析了拓扑优化计算中常出现的多孔材料、棋盘格、网格依赖性、局部极值等数值不稳定现象;分析了克服数值不稳定性现象的各种数值方法,及其各自的特点;提出了一种基于卷积因子前处理和小波分析后处理的综合过滤算法,能够有效消除拓扑优化中的数值不稳定现象。
The numerical instabilities in topology optimization, such as porous materials, checkerboard, mesh dependency, local minimal, etc. are analyzed. Meanwhile, some conventional methods to overcome numerical instabilities are listed and compared. A new mixed filter algorithm based on convolution pre process and wavelet post process is proposed. It can effectively eliminate the numerical instabilities in topology optimization.
出处
《机械科学与技术》
CSCD
北大核心
2005年第1期86-89,93,共5页
Mechanical Science and Technology for Aerospace Engineering
基金
国家重点基础研究发展规划项目 (2003CB716207
国家"863"计划项目(2003AA001031)资助
关键词
拓扑优化
数值不稳定性
综合过滤算法
Topology optimization
Numerical instabilities
Mixed filter algorithm