Nonlinear Bending of a Shallow Panel under the Effect of Gas Pressure

Abstract

In this paper, we considered the bending of a round shallow panel under the effect of excessive pressures on the lower and upper surfaces. A refined expression of the distributed transverse force that depends on both the pressure drop on the surface and the interaction of the average overpressure and curvature of the middle surface is used. This refinement is performed in a linear approximation. The panel edge is assumed to be isolated from excessive pressure. The classical theory of nonlinear bending of a round shallow panel under the effect of pressures on its surface is supplemented.