Abstract

The author solves the problem connected with determination of shape of pillars which remain stable under any compression due to barrel distortion. The analysis of cylindrical structures uses the known Leibenson–Ishlinsky stability criterion. The boundary conditions of the problem and its solution are obtained: elasticity in the form of the critical load dependence on the height/radius ratio of pillars. The found asymptote to the curves is associated with the optimized shape of pillars.

中文翻译：

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用莱本森－伊什林斯基稳定性准则优化支柱形状

摘要

作者解决了与确定柱形形状有关的问题，该柱形形状由于筒形变形而在任何压缩下都保持稳定。圆柱结构的分析使用已知的Leibenson-Ishlinsky稳定性准则。获得了问题的边界条件及其解决方案：临界载荷形式的弹性取决于支柱的高度/半径比。所找到的曲线渐近线与柱的优化形状相关。