成長の構成則を用いた形状最適化手法の提案  静的弾性体の場合  [in Japanese] A proposal of shape optimization method by using a constitutive equation of growth. In the case of static elastic body.  [in Japanese]

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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/110002373757/

A simple method for shape optimization of a static elastic body in a sense of uniform strength is newly proposed. The idea from which the method originated came from the growth behavior of living things, such as trees or bones, responding to a stress accompanying a load. On the use of the method, the optimum shape is formed by iterating a usual elastic analysis and incremental growth analysis by using a constitutive equation of growth with the result of the elastic analysis, without a particular technique for mathematical optimization programming or a steep extension of memory for calculation of the sensitivity. The growth law is given as a relation between incremental growth strain and a deviation of objective stress indicating the strength from basic stress. Two examples of a cantilever beam loaded at its tip and a column loaded at its tip under the influence of gravity are analyzed to show the effectiveness of the proposed method.

Journal

  • TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A

    TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 54(508), 2167-2175, 1988

    The Japan Society of Mechanical Engineers

Cited by:  13

Codes

  • NII Article ID (NAID)
    110002373757
  • NII NACSIS-CAT ID (NCID)
    AN0018742X
  • Text Lang
    JPN
  • Article Type
    Journal Article
  • ISSN
    0387-5008
  • NDL Article ID
    3202212
  • 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
    CJPref  NDL  NII-ELS  IR  J-STAGE 
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