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

doi:10.1007/s00158-018-2098-9

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

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Abstract

We report on 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 significant points, structural topology optimization problems are not well-posed since infinitesimally small perturbations lead to distinct topologies.

Authors:

^[1]; Voronin, Alexey ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: 2018-10-04

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1557061

Report Number(s):: LLNL-JRNL-761457
Journal ID: ISSN 1615-147X; 949598

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Structural and Multidisciplinary Optimization

Additional Journal Information:: Journal Volume: 59; Journal Issue: 3; Journal ID: ISSN 1615-147X

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; Structures; Topology; Optimization; Bifurcation; Well-posed

Citation Formats


                    White, Daniel A., and Voronin, Alexey. A computational study of symmetry and well-posedness of structural topology optimization.  United States: N. p., 2018. 
        Web.  doi:10.1007/s00158-018-2098-9.

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                    White, Daniel A., & Voronin, Alexey. A computational study of symmetry and well-posedness of structural topology optimization.  United States.  doi:10.1007/s00158-018-2098-9.

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                    White, Daniel A., and Voronin, Alexey. Thu .  
        "A computational study of symmetry and well-posedness of structural topology optimization".  United States.  doi:10.1007/s00158-018-2098-9.  https://www.osti.gov/servlets/purl/1557061.

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@article{osti_1557061,

  title        = {A computational study of symmetry and well-posedness of structural topology optimization},

  author       = {White, Daniel A. and Voronin, Alexey},

  abstractNote = {We report on 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 significant points, structural topology optimization problems are not well-posed since infinitesimally small perturbations lead to distinct topologies.},

  doi          = {10.1007/s00158-018-2098-9},

  journal      = {Structural and Multidisciplinary Optimization},

  number       = 3,

  volume       = 59,

  place        = {United States},

  year         = {2018},

  month        = {10}

}

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DOI: 10.1007/s00158-018-2098-9

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