An optimization method for truss structures with objective functions of volume and compliance

• TAKADA Toyofumi

  三重大学工学部建築学科

Bibliographic Information

Other Title

• 体積とコンプライアンスを目的関数にしたトラス構造物の最適化手法

Abstract

The present paper deals with a truss topology optimization problem whose objective functions are both structural volume and compliance. This problem can be formulated as a multiobjective optimization problem (MOP), which is to find a set of cross-sectional area of members, such that structural volume and compliance should be minimized. In this paper, the Pareto optimal front of the present MOP is theoretically obtained using the Kuhn-Tucker conditions for MOPs. Moreover, based upon the characteristics of the theoretical Pareto front, the present MOP of a truss structure is transformed into an unconstrained minimization problem of the product of structural volume and compliance. A genetic algorithm is applied to this single objective optimization problem in this paper. The application of the proposed method is illustrated in numerical examples with discussion on both efficiency and accuracy.

Journal

• Transactions of the Japan Society for Computational Engineering and Science

  Transactions of the Japan Society for Computational Engineering and Science 2006 (0), 20060004-20060004, 2006

  JAPAN SOCIETY FOR COMPUTATIONAL ENGINEERING AND SCIENCE

Keywords

• Topology optimization
• Truss structure
• Multiobjective optimization
• Pareto optimal
• Pareto front
• Genetic Algorithm
• Compliance

Details

• CRID: 1390006994048640384
• NII Article ID: 130008056142
• DOI: 10.11421/jsces.2006.20060004
• ISSN: 13478826
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed