円板の二, 三の弾性混合境界値問題

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  • Some Mixed Boundary-Value Problems for Elastic Circular Plates
  • エンバン ノ ニ , サン ノ ダンセイ コンゴウ キョウカイチ モンダイ

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Analytical solutions expressed in finite terms are given for the two-dimensional problems of determining the stresses in a circular plate, which is either partially fixed along the boundary and subject to a concentrated force and a couple at the center, or compressed by two rigid stamps. The solutions of the mixed boundary-value problems, stated above, are reduced to the search for complex stress functions, continued analytically into that part of the z-plane not occupied by the material through unloaded parts of the boundary. Some numerical calculations are carried out for cases of a circular plate fixed along one part of the boundary, and a circullar plate compressed by two stamps of equal width. The distribution of stresses along main parts of the plate is shown in graphs. Furthermore, the amount of mutual approach of two stamps is plotted versus the stamp width.

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