Approximative formula for post-buckling analysis of non-linearly elastic columns with superellipsoidal cross-sections

Abstract

Approximative formulas for post-buckling analysis of non-linearly elastic columns made of Ludwick material are developed for free-clamp, hinge—hinge, and clamp—clamp supports. The columns have a superellipsoidal cross-section. Comparison between analytically obtained and numerical solutions showed good agreement. Additionally, post-buckling configurations for all three types of columns and materials are given in diagrams, from where the influence of material constants on the shape of the deflection curve can be examined.

Keywords

non-linearly elastic column superellipsoidal cross-section post-buckling approximative solution analytical formula

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