On the layout optimization of 2D skeletal structures under a single displacement constraint

Demetrios T. Venetsanos, Christopher G. Provatidis

Research output: Contribution to journalArticle

Abstract

The present paper revisits the problem of minimizing the weight of 2D skeletal structures under a single displacement constraint. The contribution lies on the development of an optimization procedure implementing three new features. The first feature is the formulation of a new and efficient Optimality Criterion-type redesign scheme where no Lagrange multipliers are required. The second feature is the introduction of a new categorization of the structural elements according to which members simultaneously being force-passive and area-active may lead search methods to local minima. The third feature is the application of a typical line-search optimization method on the structural elements diagnosed as force-passive/area-active so that their contribution to the structural weight is minimized and a better design is obtained. The validity of the proposed optimization procedure was successfully tested for determinate and indeterminate skeletal structures.

Original languageEnglish
Pages (from-to)125-155
Number of pages31
JournalStructural and Multidisciplinary Optimization
Volume42
Issue number1
DOIs
Publication statusPublished - Jul 2010

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Search Methods
Layout
Optimization
Optimality Criteria
Line Search
Categorization
Lagrange multipliers
Local Minima
Optimization Methods
Formulation
Design

Keywords

  • Grid-like structure
  • Layout optimization
  • Single displacement constraint
  • Virtual strain energy density

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization

Cite this

On the layout optimization of 2D skeletal structures under a single displacement constraint. / Venetsanos, Demetrios T.; Provatidis, Christopher G.

In: Structural and Multidisciplinary Optimization, Vol. 42, No. 1, 07.2010, p. 125-155.

Research output: Contribution to journalArticle

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