APPLICATION OF LINEAR PROGRAMMING METHOD FOR TRUSS TOPOLOGY OPTIMIZATION WITH OBJECTIVE FUNCTIONS OF VOLUME AND COMPLIANCE

• TAKADA Toyofumi

  Dept. of Architecture, Faculty of Engineering, Mie Univ.

• MATSUOKA Takashi

  Graduate School of Engineering, Mie Univ.

Bibliographic Information

Other Title

• 体積とコンプライアンスを目的関数としたトラス・トポロジー最適化問題への線形計画法の適用
• タイセキ ト コンプライアンス オ モクテキ カンスウ ト シタ トラス トポロジー サイテキカ モンダイ エ ノ センケイ ケイカクホウ ノ テキヨウ

Abstract

The present paper deals with a truss topology optimization problem whose objective functions are both structural volume and compliance. This multiobjective optimization problem is to find a set of cross-sectional area of members, such that structural volume and compliance are minimized. In this paper, the Pareto optimal front of this problem is theoretically obtained using the Kuhn-Tucker conditions. Moreover, based upon the characteristics of the theoretical Pareto front, the linear programming method (simplex method) is applied. The application of the proposed method is illustrated in numerical examples with discussion on both efficiency and accuracy.

Journal

• Journal of Structural and Construction Engineering (Transactions of AIJ)

  Journal of Structural and Construction Engineering (Transactions of AIJ) 70 (598), 87-91, 2005

  Architectural Institute of Japan

Keywords

• Topology optimization
• Ground structure
• Multiobjective optimization
• Pareto optimal
• Linear programming

Details

• CRID: 1390001205637972992
• NII Article ID: 110004839856
• NII Book ID: AN10438559
• DOI: 10.3130/aijs.70.87_6
• ISSN: 18818153
• ISSN: 13404202
• ISSN: http://id.crossref.org/issn/13404202
• NDL BIB ID: 7756319
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7756319
• Web Site: https://www.jstage.jst.go.jp/article/aijs/70/598/70_KJ00004393007/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed