Evolutionary Topology Optimization of Structures with Multiple Displacement and Frequency Constraints

被引：52

作者：

Zuo, Zhi Hao ^{[1
]}

Xie, Yi Min ^{[1
]}

Huang, Xiaodong ^{[1
]}

机构：

[1] RMIT Univ, Innovat Struct Grp, Sch Civil Environm & Chem Engn, Melbourne, Vic 3001, Australia

来源：

ADVANCES IN STRUCTURAL ENGINEERING | 2012年 / 15卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

topology optimization; bi-directional evolutionary structural optimization (BESO); multiple constraints; optimal design; displacement constraint; frequency constraint; CONTINUUM STRUCTURES; SHAPE OPTIMIZATION; ESO;

D O I：

10.1260/1369-4332.15.2.359

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

Topological design with multiple constraints is of great importance in practical engineering design problems. The present work extends the bi-directional evolutionary structural optimization (BESO) method to multiple constraints of displacement and frequency in addition to the amount of material usage. Besides the binary design variables, the Lagrange multipliers for constraints are considered as additional continuous variables and determined by a search scheme. The enhanced approach can include a number of constraints besides the simple volume constraint. To demonstrate the effectiveness of the proposed BESO approach, several examples are presented for the maximization of structural overall stiffness subject to the material volume, displacement and frequency constraints.

引用

页码：359 / 372

页数：14

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