三次元有限回転を伴う Timoshenko はりの幾何学的非線形理論

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  • 井浦 雅司
    社団法人 土木学会 東京電機大学 理工学部建設工学科
  • 平嶋 政治
    社団法人 土木学会 早稲田大学 理工学部土木工学科

書誌事項

タイトル別名
  • GEOMETRICALLY NONLINEAR THEORY OF TIMOSHENKO'S BEAM WITH FINITE ROTATIONS IN SPACE
  • 3次元有限回転を伴うTimoshenkoはりの幾何学的非線形理論
  • 3ジゲン ユウゲン カイテン オ トモナウ Timoshenkoハリ ノ キカ

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抄録

Geometrically nonlinear theory of rods with shear deformations is developed. Particular attention is paid to investigate the coupling of finite rotations due to bending, twist and shearing. A finite rotation vector plays an important role in a formulation of the present problem. When the equilibrium equations and the associated boundary conditions are derived from the principle of virtual work, the magnitude of displacements, rotations, and strains is treated as finite one. The stress-strain relationships proposed herein differ slightly with the existing ones. They yield, however, the well-known and widely accepted constitutive equations expressed by the stress resultants and moments and the generalized strains. The accuracy of the present equilibrium equations is confirmed through comparisons with those obtained by the equilibrium method.

収録刊行物

  • 土木学会論文集

    土木学会論文集 1987 (380), 411-417, 1987-04-20

    公益社団法人 土木学会

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