Multiobjective optimization for truss topology with objective functions of volume and compliance

• Takada Toyofumi

  Faculty of Engineering, Mie University

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・トポロジーの多目的最適化
• Part 1. Optimization method by linear programming
• その１．線形計画法による最適化

Abstract

The present study 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. The Pareto optimal front of this problem is theoretically obtained using the Kuhn-Tucker conditions. Based upon the characteristics of the theoretical Pareto optimal front, the multiobjective optimization problem can be rewritten as a linear programming problem whose design variables are axial forces of members. Therefore, some Pareto optimal truss topologies can be obtained by linear programming method (simplex method). Moreover, this paper indicates 3 types of optimal problem; the minimum compliance problem under the volume constraint, the minimum volume problem under the compliance constraint, and the minimum volume problem under the stress constraints.

Journal

• NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan

  NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 55 (0), 56-56, 2006

  National Committee for IUTAM

Keywords

• truss topology
• topology optimization
• ground structure
• multiobjective optimization
• Pareto optimal
• linear programming

Details

• CRID: 1390282680569125760
• NII Article ID: 130005020540
• DOI: 10.11345/japannctam.55.0.56.0
• Data Source:
  • JaLC
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed