面内回転自由度を有する膜要素の定式化

  • 井浦 雅司
    社団法人 土木学会 Department of Civil and Structural Engineering, Tokyo Denki University

書誌事項

タイトル別名
  • A FORMULATION OF MEMBRANE ELEMENTS WITH DRILLING DEGREES OF FREEDOM
  • 面内回転自由度を有する膜要素の定式化〔英文〕
  • メンナイ カイテン ジユウド オ ユウスル マク ヨウソ ノ テイシキカ エイ

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抄録

A new formulation of membrane elements with drilling degrees of freedom is presented. The Lagrange multiplier method is employed to obtain the modified functional. Since the independent rotational field is used, the present formulation is applicable to any shape of elements. The resulting stiffness matrix has negative diagonals associated with drilling rotations. This deficiency is remedied by introducing a positive parameter. It is shown that the numerical results are not affected by the value of the parameter. The present element has no zero-energy mode, and no locking phenomena are observed. Numerical results demonstrate an excellent performance of the membrane elements with drilling rotations.

収録刊行物

  • 土木学会論文集

    土木学会論文集 1990 (416), 79-88, 1990-04-20

    公益社団法人 土木学会

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