Revisiting topology optimization with buckling constraints

Federico Ferrari*, Ole Sigmund

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We review some features of topology optimization with a lower bound on the critical load factor, as computed by linearized buckling analysis. The change of the optimized design, the competition between stiffness and stability requirements and the activation of several buckling modes, depending on the value of such lower bound, are studied. We also discuss some specific issues which are of particular interest for this problem, as the use of non-conforming finite elements for the analysis, the use of inconsistent sensitivity that may lead to wrong signs of sensitivities and the replacement of the single eigenvalue constraints with an aggregated measure. We discuss the influence of these practices on the optimization result, giving some recommendations.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Volume59
Issue number5
Pages (from-to)1401-1415
ISSN1615-147X
DOIs
Publication statusPublished - 2019

Keywords

  • Topology optimization
  • Eigenvalue optimization
  • Linearized buckling
  • Aggregation functions
  • Finite elements
  • Sensitivity analysis

Cite this

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title = "Revisiting topology optimization with buckling constraints",
abstract = "We review some features of topology optimization with a lower bound on the critical load factor, as computed by linearized buckling analysis. The change of the optimized design, the competition between stiffness and stability requirements and the activation of several buckling modes, depending on the value of such lower bound, are studied. We also discuss some specific issues which are of particular interest for this problem, as the use of non-conforming finite elements for the analysis, the use of inconsistent sensitivity that may lead to wrong signs of sensitivities and the replacement of the single eigenvalue constraints with an aggregated measure. We discuss the influence of these practices on the optimization result, giving some recommendations.",
keywords = "Topology optimization, Eigenvalue optimization, Linearized buckling, Aggregation functions, Finite elements, Sensitivity analysis",
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Revisiting topology optimization with buckling constraints. / Ferrari, Federico; Sigmund, Ole.

In: Structural and Multidisciplinary Optimization, Vol. 59, No. 5, 2019, p. 1401-1415.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Revisiting topology optimization with buckling constraints

AU - Ferrari, Federico

AU - Sigmund, Ole

PY - 2019

Y1 - 2019

N2 - We review some features of topology optimization with a lower bound on the critical load factor, as computed by linearized buckling analysis. The change of the optimized design, the competition between stiffness and stability requirements and the activation of several buckling modes, depending on the value of such lower bound, are studied. We also discuss some specific issues which are of particular interest for this problem, as the use of non-conforming finite elements for the analysis, the use of inconsistent sensitivity that may lead to wrong signs of sensitivities and the replacement of the single eigenvalue constraints with an aggregated measure. We discuss the influence of these practices on the optimization result, giving some recommendations.

AB - We review some features of topology optimization with a lower bound on the critical load factor, as computed by linearized buckling analysis. The change of the optimized design, the competition between stiffness and stability requirements and the activation of several buckling modes, depending on the value of such lower bound, are studied. We also discuss some specific issues which are of particular interest for this problem, as the use of non-conforming finite elements for the analysis, the use of inconsistent sensitivity that may lead to wrong signs of sensitivities and the replacement of the single eigenvalue constraints with an aggregated measure. We discuss the influence of these practices on the optimization result, giving some recommendations.

KW - Topology optimization

KW - Eigenvalue optimization

KW - Linearized buckling

KW - Aggregation functions

KW - Finite elements

KW - Sensitivity analysis

U2 - 10.1007/s00158-019-02253-3

DO - 10.1007/s00158-019-02253-3

M3 - Journal article

VL - 59

SP - 1401

EP - 1415

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

SN - 1615-147X

IS - 5

ER -