Strength of a metal seven-layer rectangular plate with trapezoidal corrugated cores

The subject of analytical and numerical investigations in this paper is a metal seven-layer
rectangular plate with a trapezoidal corrugated main core and two trapezoidal corrugated
cores of faces. The hypothesis of deformation of the normal to the middle surface of the
plate after bending and field of displacements is formulated. The plate is simply supported
on all its edges and subjected to a uniform pressure. Equations of equilibrium are derived
based on the theorem of minimum total potential energy and are solved with the use of
the Galerkin method. The influence of the trapezoidal corrugation pitch of the cores on the
deflection and the equivalent stress is analysed.