Abstract
An approximate model of the linear bending of an orthotropic sandwich plate is proposed, taking into account the excess pressure in the space of the filling and the difference in the areas of the surfaces of the elastically curved supporting layers, and the dependence of the shear modulus of the filling on the pressure is postulated. The bending equations of the plate are also given, taking into account the external excess pressure. The value of the transverse distributed force acting on the plate due to the excess pressure in the space of the middle layer and the curvature of the elastic line is obtained. It is shown that this pressure leads to an increase in the bending. If the space of the filling is closed, so that stretching forces due to the pressure act on the boundary sections, the bending is independent of the pressure drop. The dependence of the distributed transverse force on the external pressure is derived. The change in the shear modulus of the filling as a function of the external pressure drop is also considered.
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