複数荷重を考慮した線形弾性体の多目的形状最適化(平均コンプライアンス最小化問題を例として)  [in Japanese] Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions(Dealing with Mean Compliance Minimization Problems)  [in Japanese]

Access this Article

Search this Article

Author(s)

Abstract

・rights:日本機械学会・rights:本文データは学協会の許諾に基づきCiNiiから複製したものである・relation:isVersionOf:http://ci.nii.ac.jp/naid/110002372247/

This paper describes a numerical analysis method for multiobjective shape optimization problems of linear elastic structures. For an example, we treat a multiloading mean compliance minimization problem with a volume constraint. The presented method is based on the traction method that was proposed as a solution to the domain optimization problems by one of the authors. The traction method is implemented to analyze the speed field, which represents the domain variation, with regard to the deformation field of the linear elastic continuum formed in the objective domain applying the force in proportion to the shape gradient function. To scalarize the multiobjective functionals we employ the weighted l<SUB>p</SUB>-norm method with four types of norms. The shape gradient functions for each scalarized objective functional are obtained using the Lagrange multiplier method. For the numerical analyses we used a general-purpose finite-element code. Numerical results to a multiply connected plate problem and to a solid structure problem under the multiloading conditions show the validity of the present method to obtain practical Pareto solutions.

Journal

  • TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A

    TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 00061(00582), 359-366, 1995-02-25

    The Japan Society of Mechanical Engineers

References:  12

Cited by:  2

Codes

  • NII Article ID (NAID)
    110002372247
  • NII NACSIS-CAT ID (NCID)
    AN0018742X
  • Text Lang
    JPN
  • Article Type
    Journal Article
  • ISSN
    03875008
  • NDL Article ID
    3593826
  • NDL Source Classification
    M071(工業材料・材料試験)
  • NDL Source Classification
    ZM16(科学技術--科学技術一般--工業材料・材料試験)
  • NDL Call No.
    Z14-737
  • Data Source
    CJP  CJPref  NDL  NII-ELS  IR  J-STAGE 
Page Top