逆変分原理による最適構造設計の境界形取扱い

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  • Boundary element approach to optimal structural design based on the inverse variational principle.
  • ギャク ヘンブン ゲンリ ニ ヨル サイテキ コウゾウ セッケイ ノ キョウカ

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This paper proposes the use of the boundary element method in the optimal structural design based on the inverse variational principle. The optimal conditions of the inverse variational shape determination method can be expressed in terms of the boundary data alone. Firstly, using the displacements obtained by BEM, the shape of a body is reformed so that the strain energy density might become uniform everywhere on the designed surface. Volume changes in the iterative process are calculated by the movements of the extreme points of the BEM. In the boundary element approach, the initial division into elements and redivision for reanalysis can be more easily performed than in finite element method.

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