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Structural and Multidisciplinary Optimization

, Volume 22, Issue 5, pp 364–373 | Cite as

A new approach for the solution of singular optima in truss topology optimization with stress and local buckling constraints

  • X. Guo
  • G. Cheng
  • K. Yamazaki
Research paper

Abstract.

The present paper investigates problems of truss topology optimization under local buckling constraints. A new approach for the solution of singular problems caused by stress and local buckling constraints is proposed. At first, a second order smooth-extended technique is used to make the disjoint feasible domains connect, then the so-called ε-relaxed method is applied to eliminate the singular optima from problem formulation. By means of this approach, the singular optimum of the original problem caused by stress and local buckling constraints can be searched approximately by employing the algorithms developed for sizing optimization problems with high accuracy. Therefore, the numerical problem resulting from stress and local buckling constraints can be solved in an elegant way. The applications of the proposed approach and its effectiveness are illustrated with several numerical examples.

Key words: singular optima, buckling constraint, ε-relaxed approach, stress constraint, optimization 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • X. Guo
    • 1
  • G. Cheng
    • 2
  • K. Yamazaki
    • 1
  1. 1.Department of Human and Mechanical Systems Engineering, Kanazawa University, Kodatsuno 2-40-20 Kanazawa 920-8667, Japan e-mail: Guoxudongyan@hotmail.com Yamazaki@t.kanazawa-u.ac.jpJP
  2. 2.Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P.R. China e-mail: chenggd@dlut.edu.cnCN

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