A computational study of symmetry and well-posedness of structural topology optimization

被引：1

作者：

Daniel A. White

Alexey Voronin

机构：

[1] Lawrence Livermore National Laboratory,

来源：

Structural and Multidisciplinary Optimization | 2019年 / 59卷

关键词：

Structures; Topology; Optimization; Bifurcation; Well-posed;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We are concerned with the computational topological optimization of elastic structures, in particular minimization of compliance subject to a constraint on the mass. Through computational experiments, it is discovered that even very simple optimization problems can exhibit complex behavior such as critical points and bifurcation. In the vicinity of critical points, structural topology optimization problems are not well-posed since infinitesimally small perturbations lead to distinct topologies.

引用

页码：759 / 766

页数：7

共 21 条

[1]

Baier H(1994)Ill posed problems in structural optimization and their practical consequences Struct Optim 7 184-190

[2]

Cheng G(2011)Discussion on symmetry of optimum topology design Struct Multidisc Optim 44 713-717

[3]

Lui X(2012)Some symmetry results for optimal solutions in structural optimization Struct Multidisc Optim 46 631-645

[4]

Guo X(1999)A symmetry reduction method for continuum structural topology optimization Comp Struct 70 47-61

[5]

Ni C(2011)Filters in topology optimization based on Helmholtz-type differential equations Int J Numer Meth Eng 86 765-781

[6]

Cheng G(2013)Symmetry and asymmetry of solutions in discrete variable structural optimization Struct Multidisc Optim 47 631-643

[7]

Du Z(1998)Exact analytical solutions for some popular benchmark problems in topology optimization Struct Optim 15 42-48

[8]

Kosakam I(2011)On symmetry and non-uniqueness in exact topology optimization Struct Multidisc Optim 43 297-317

[9]

Swan CC(2001)A 99 line topology optimization code written in matlab Struct Multidis Optimiz 21 120-127

[10]

Lazarov B(2010)On some fundamental properties of structural topology optimization problems Struct Multidisp Optim 41 661-670

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