Optimization of Pillar Shape Using the Leibenson-Ishlinsky Stability Criterion
A. I. Chanyshev1,2
1Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630091 Russia
2Novosibirsk State University of Economics and Management, Novosibirsk, 630099 Russia
Keywords: Pillar instability, critical load, elasticity, optimized shape
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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