Generalization of the Thin Plate Bending Equation under the Action of Gas

The transverse distributed load on an elastic thin plate in a gas environment is determined. Different values of the pressure of the medium on both surfaces form both the pressure difference and the transverse unbalanced force depending on the average pressure and curvature of the mid-surface. It is shown that in the general case both of these components of the transverse force should be taken into account. With a small ratio of the average pressure to the elastic modulus of the plate material and a large relative thickness, the influence of the second load component is small. With a small relative thickness of the plate and a large ratio of the average medium pressure to the elastic modulus of the material, the influence of the second component of the transverse bending load becomes comparable to the bending stiffness of the plate. Linear bending and plate stability are considered.