Structural optimization based on topology optimization techniques using frame elements considering cross-sectional properties

A. Takezawa, S. Nishiwaki, K. Izui, M. Yoshimura

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

This paper discusses a new structural optimization method, based on topology optimization techniques, using frame elements where the cross-sectional properties can be treated as design variables. For each of the frame elements, the rotational angle denoting the principal direction of the second moment of inertia is included as a design variable, and a procedure to obtain the optimal angle is derived from Karush-Kuhn-Tucker (KKT) conditions and a complementary strain energy-based approach. Based on the above, the optimal rotational angle of each frame element is obtained as a function of the balance of the internal moments. The above methodologies are applied to problems of minimizing the mean compliance and maximizing the eigen frequencies. Several examples are provided to show the utility of the presented methodology.

Original languageEnglish
Pages (from-to)41-60
Number of pages20
JournalStructural and Multidisciplinary Optimization
Volume34
Issue number1
DOIs
Publication statusPublished - 2007 Jul
Externally publishedYes

Keywords

  • Complementary strain energy
  • Cross-sectional properties
  • Frame elements
  • KKT conditions
  • Structural optimization
  • Topology optimization

ASJC Scopus subject areas

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

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