On the effect of ambient pressure on the bending of a plate

Abstract

From preset pressure values on both surfaces of a plate, its bending is determined depending not only on the pressure difference but also on the product of the average pressure and the curvature of the middle surface. The latter component of this action is determined according to the models of Kirchhoff and Timoshenko for the case of a cylindrical linear bending of a plate. It is shown that taking into account the average pressure leads to an increase in the effective flexural rigidity. The value of deflection according to the models of Kirchhoff and Timoshenko is compared with a classical result. A criterion is established for the situation where the influence of the ambient pressure on the plate bending can be significant. The effect of the average pressure exerted on the longitudinal stability of the plates is determined.