Nonlinear Creep Buckling of Some Simple Structures

Abstract

In this paper, the creep buckling behavior of shallow Mises trusses and two-hinged sinusoidal low arches with sandwich cross section is studied. The material properties are assumed to be nonlinear viscoelastic and obeying the power creep law. The purpose of this study is to find the critical times, critical deflections, and postbuckling deflections of these structures. For Mises trusses, snap-through may be induced by direct compression or lateral buckling of the members. Analytical solutions are obtained. In the arch problem, both symmetrical and antisymmetrical bucklings are considered. Collocation method is used in the analysis, and numerical solutions are obtained.