A 199-line Matlab code for Pareto-optimal tracing in topology optimization

被引：105

作者：

Suresh, Krishnan ^{[1
]}

机构：

[1] Univ Wisconsin, Madison, WI 53706 USA

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2010年 / 42卷 / 05期

基金：

美国国家科学基金会;

关键词：

Pareto-optimal; Topological sensitivity; Topology optimization; SENSITIVITY-ANALYSIS; SHAPE; DESIGN; RESPECT;

D O I：

10.1007/s00158-010-0534-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper 'A 99-line topology optimization code written in Matlab' by Sigmund (Struct Multidisc Optim 21(2):120-127, 2001) demonstrated that SIMP-based topology optimization can be easily implemented in less than hundred lines of Matlab code. The published method and code has been used even since by numerous researchers to advance the field of topology optimization. Inspired by the above paper, we demonstrate here that, by exploiting the notion of topological-sensitivity (an alternate to SIMP), one can generate Pareto-optimal topologies in about twice the number of lines of Matlab code. In other words, optimal topologies for various volume fractions can be generated in a highly efficient manner, by directly tracing the Pareto-optimal curve.

引用

页码：665 / 679

页数：15

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