Abstract As part of recent work on the structural behaviour of toroidal shells, this paper presents results of a numerical study on the buckling resistance of a closed toroidal vessel with a doubly-symmetric parabolic-ogival cross-section, subjected to uniform external pressure. The analysis was carried out on both geometrically perfect and imperfect elastic steel shells, and boundary conditions resulting in the lowest buckling pressure were adopted. A range of shell geometries and possible imperfections of the geometry were considered. The study shows that buckling initiates as non-axisymmetric deformations in the weakest zones near the top and bottom edges of the outer segment of the vessel. The buckling strength of the vessel is found to be strongly dependent on the geometrical parameters of the cross-section, and parameters giving the largest buckling resistance of the vessel are identified. While the buckling behaviour is sensitive to initial geometric imperfections in the form of eigenmodes, the vessel is generally stable after bifurcation.

中文翻译：

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具有双对称抛物线椭圆形横截面的外部加压环形旋转壳的屈曲

摘要 作为最近关于环形壳结构行为的工作的一部分，本文介绍了对具有双对称抛物线-尖顶截面的封闭环形容器在均匀外部压力下的抗屈曲能力进行数值研究的结果。对几何完美和不完美的弹性钢壳进行了分析，并采用了导致最低屈曲压力的边界条件。考虑了一系列壳几何形状和几何形状的可能缺陷。研究表明，屈曲在容器外段的顶部和底部边缘附近的最弱区域中作为非轴对称变形开始。发现容器的屈曲强度强烈依赖于横截面的几何参数，并确定给出容器最大屈曲阻力的参数。虽然屈曲行为对特征模态形式的初始几何缺陷很敏感，但容器在分叉后通常是稳定的。