An algorithm for eradicating the effects of void elements on structural topology optimization for nonlinear compliance

被引：37

作者：

Luo, Quantian ^{[1
]}

Tong, Liyong ^{[1
]}

机构：

[1] Univ Sydney, Sch Aerosp Mech & Mechatron Engn, Sydney, NSW 2006, Australia

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2016年 / 53卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

Topology optimization; Nonlinear analysis; Void element; Stability; CONNECTIVITY PARAMETERIZATION; DESIGN; SCHEME;

D O I：

10.1007/s00158-015-1325-x

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper presents an efficient algorithm for structural topology optimization with material and/or geometric nonlinearities using the moving iso-surface threshold (MIST) method. In this algorithm, all finite element analyses (FEA) are conducted for sub-domains with solid and grey elements via removing all void elements, whereas the response function is constructed in the full design domain. This algorithm allows the removed void elements to be involved in design variable update and to reappear in subsequent iterations. As there are solid materials only in the final optimal topology, problems such as 'layering' and 'islanding' caused by void elements in topology optimization for structures considering large deformations are completely eradicated. Challenges such as 'material reappearance' and 'discontinuity' owing to the removal of void elements are resolved. Numerical results for three typical structures and their comparison with those in the literature are presented to validate the present algorithm.

引用

页码：695 / 714

页数：20

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