Bifurcation problem of thin plates with implementation of computer program

Abstract

Considering the complexity of the problem of stress – strain state and stability of structural systems, nonlinear theory is applied in this paper. The subject of the paper is to perform the stiffness matrix and geometric stiffness matrix, and to define the problem of bifurcation stability. Solving the problem of bifurcation stability presents the determination of certain values, which present the determination of critical load. The problem of bifurcation stability is discussed on thin plates. Based on theoretical part, MKEBS program is made in Mathematica software, in order to obtain critical load of plates discretized with a number of elements. The results of MKEBS are shown through examples as the final result of the work.