Extended optimality in topology design

G. Rozvany, O. M. Querin, Z. Gaspar, V. Pomezanski

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

Most existing studies of 2D problems in structural topology optimization are based on a given (limit on the) volume fraction or some equivalent formulation. The present note looks at simultaneous optimization with respect to both topology and volume fraction, termed here "extended optimality". It is shown that the optimal volume fraction in such problems - in extreme cases - may be unity or may also tend to zero. The proposed concept is used for explaining certain "quasi-2D" solutions and an extension to 3D systems is also suggested. Finally, the relevance of Voigt's bound to extended optimality is discussed.

Original languageEnglish
Pages (from-to)257-261
Number of pages5
JournalStructural and Multidisciplinary Optimization
Volume24
Issue number3
DOIs
Publication statusPublished - Sep 2002

Fingerprint

Volume Fraction
Volume fraction
Optimality
Topology
Simultaneous Optimization
Structural optimization
Structural Optimization
Topology Optimization
Shape optimization
Extremes
Tend
Formulation
Zero
Design

Keywords

  • Compliance
  • Extended optimality
  • Quasi-2D topologies
  • Topology optimization
  • Voigt's bound
  • Volume fraction

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Computational Mechanics
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Extended optimality in topology design. / Rozvany, G.; Querin, O. M.; Gaspar, Z.; Pomezanski, V.

In: Structural and Multidisciplinary Optimization, Vol. 24, No. 3, 09.2002, p. 257-261.

Research output: Contribution to journalArticle

Rozvany, G. ; Querin, O. M. ; Gaspar, Z. ; Pomezanski, V. / Extended optimality in topology design. In: Structural and Multidisciplinary Optimization. 2002 ; Vol. 24, No. 3. pp. 257-261.
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