Minimization of the expected compliance as an alternative approach to multiload truss optimization

F. Alvarez, Miguel Carrasco

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

We show that a problem of finding the truss of minimum expected compliance under stochastic loading conditions is equivalent to the dual of a special convex minimax problem, and therefore may be efficiently solved. This equivalence makes it possible to provide classic multiload compliance minimization problems with interpretations in a probabilistic setting. In fact, we prove that minimizing the expected compliance amounts to solving a multiload-like problem associated with a particular finite set of loading scenarios, which depend on the mean and the variance of the perturbations.

Original languageEnglish
Pages (from-to)470-476
Number of pages7
JournalStructural and Multidisciplinary Optimization
Volume29
Issue number6
DOIs
StatePublished - Jun 2005
Externally publishedYes

Keywords

  • Expected compliance
  • Multiload compliance minimization
  • Stochastic loading
  • Structural mechanics
  • Topology optimization

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