Optimization of Pillar Shape Using the Leibenson-Ishlinsky Stability Criterion

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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.
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基于Leibenson-Ishlinsky稳定性准则的柱形优化
解决了因筒体变形引起的任何压缩条件下保持稳定的柱形确定问题。圆柱结构的分析使用已知的Leibenson-Ishlinsky稳定性判据。得到了问题的边界条件及其解:弹性以临界荷载与柱高/半径比的关系形式存在;曲线的渐近线与优化后的柱形有关。
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