Abstract

The plastic post-bifurcation and imperfection sensitivity behaviors of clamped circular plates are analyzed using the systematic perturbation method. It is found that there is a secondorder term of post-bifurcation deflection expanded in terms of the eigenmodal amplitude, but no corresponding term for elastic postbuckling. High order post-bifurcation terms are calculated to improve the analysis. The influence of geometrical imperfections on the load-bearing capacity of clamped circular plates is expressed analytically. The results of using this method are compared with those obtained by the finite element method.

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