On Bifurcation of Thin Corrugated Shell with an Elastic Filler under Action of Non-Uniform Hydrostatic Pressure

Abstract

The problem of buckling of a thin corrugated shell with elastic filler under action of the non-uniform hydrostatic pressure is considered. The influence of the elastic filler is taken into account as the additional pressure within the framework of Winkler's model. The semi-moment equations of the thin elastic shell theory are assumed as the governing ones. The rigid clamped conditions are considered at the edges of the shell. Assuming that the hydrostatic pressure depends upon the circumferential co-ordinate, solutions of the governing equations are constructed in the form of functions decaying far from some generator on the shell surface. Using the complex WKB-method, the boundary-value problem is reduced to the sequence of the one-dimensional boundary-value problems. The equation for the critical normal pressure has been obtained. The influence of parameters of corrugation of the shell on the critical pressure has been analyzed.

Keywords

• buckling
• thin corrugated shell
• hydrostatic pressure
• elastic filler
• complex wkb-method