同大2円孔を有する薄板のねじれ

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タイトル別名
  • On the Pure Torsion of a Thin Plate Having Two circular Holes of Equal Size
  • ドウダイ 2エンコウ オ ユウスル ウスイタ ノ ネジレ

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The effects of two circular holes of equal size in a thin elastic plate under the state of pure torsion are investigated on the basis of the Poisson-Kirchhoff's theory of thin plates. By the use of the bilinear transformation, the domain containing two circular holes is mapped into a concentric circular ring. Then, the comlex variable method is applied to obtain the bending moment distribution along the circular hole. The unknown coefficients of the complex functions involved in the solution are determined by the perturbation method. The bending moment distribution is numerically calculated and the mutual effect of two circular holes or the effect of values of Poisson's ratio upon the stress concentration factors are clarified.

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