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

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 c...

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Bibliographic Details
Published inStructural and multidisciplinary optimization Vol. 59; no. 3; pp. 759 - 766
Main Authors White, Daniel A., Voronin, Alexey
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2019
Springer Nature B.V
Subjects
Additive manufacturing
Advanced manufacturing technologies
Boundary conditions
Compliance
Computational Mathematics and Numerical Analysis
Critical point
Design optimization
Engineering
Engineering Design
Engineers
Modulus of elasticity
Partial differential equations
Perturbation
Research Paper
Software
Symmetry
Theoretical and Applied Mechanics
Topology optimization
Well posed problems
Bifurcation
Well-posed
Structures
Topology
Optimization
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Summary: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.
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ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-018-2098-9