外圧をうける球殻の座屈

概要

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Buckling of spherical shells subject to external pressure is investigated by means of the finite element method. As the preliminary investigation, non-axisymmetric buckling of a spherical cap is inquired, and the results coincide with those obtained by Huang and Weinitschke ; the deeper the spherical cap is, the more the number of waves of non-axisymmetric buckling pattern.Effects of an initial dimple are investigated for buckling of a complete spherical shells under uniform external pressure. It is done without special difficulties by dividing the shell into two parts : One contains the initial dimple and is governed by the nonlinear theory of shells, and the other is perfect and is governed by the linear theory. With the increase of external pressure, the deformation of the shell develops significantly in the vicinity of the initial dimple, and the collapsing pressure and pattern are influenced by the dimple ; shells with an initial dimple of a certain range of size collapse in an axisymmetric buckling pattern. It should be noticed that this fact cannot be predicted by the theoretical results for spherical caps.
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