応力規準による構造形状の有限要素シンセシス

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タイトル別名
  • Finite element synthesis of structure shapes due to stress criteria.
  • オウリョク キジュン ニ ヨル コウゾウ ケイジョウ ノ ユウゲン ヨウソ シ

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説明

A method of the finite element synthesis is formulated which is based on a new notion : that the objective design is searched in the vicinity of the baseline design, while the structural response to the objective value is approximated by the first-order Taylor series expansion of the response with respect to the design variables. A functional is comprised of the squared sum of the design variables and the equality constraint conditions representing the response approach to the objective value incorporated by the Lagrange multipliers. The design variables are determined by the minimization of the functional. The numerical examples are concerned with the contour adaptation of two-dimensional elastic structures so that the concentrated stresses around the hole in a square plate under bi-axial tension and along the roots of gear tooth under bending are lowered.

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