Calculation of Initial Post-Buckling Behaviour of Moderately Thick Plates using an Exact Finite Strip

Abstract

An exact finite strip for the buckling and initial post-buckling analysis of moderately thick plates is presented in this paper using first order shear deformation theory (FSDT). In the buckling phase the equilibrium Von-Karman's equation is solved exactly to obtain out-of-plane mode shapes and critical loads. The Von-Karman's compatibility equation is solved exactly in the post-buckling phase with the assumption that the deflected form immediately after buckling is the same as that obtained for the buckling. The principle of minimum potential energy is invoked to solve for the unknown coefficients in the assumed out-of-plane deflection and rotation functions.

Buckling and post-buckling behaviour of moderately thick plates using an exact finite strip

“…It is noted that the current paper is an updated and revised version of the conference paper [23], where the theoretical developments of an exact finite strip for the buckling and post-buckling analysis of moderately thick plates has been presented. The FSDT has been used to model the so-called exact finite strip.…”