Deformation model of a five-layer panel with a hard filler

The system of differential equations and natural boundary conditions was obtained based on the variational problem solution. The system describes deformation of a five-layer isotropic panel with a solid filler under transverse shear loaded with forces acting both in a transverse direction and over the panel contour. The differential equation system includes three equations. The first two equations describe deformation due to loads applied to the panel contour. The third equation describes the panel deformation due to the regularly distributed transverse loading. The system of boundary conditions includes conditions at the panel edges and at its corners. The differential equation system solution in transitions for the case of a regularly distributed load at pin-edge fixing corresponds to the solution of double trigonometric sequences. As for the forces regularly distributed on the panel contour, it is represented in the form of linear functions of these forces. As an example confirming the applicability of the proposed approach, the verification of the finite-element model of a five-layer panel with the use of the obtained analytical solution has been conducted. It has been demonstrated that for an agreement of the analytical and finite-element solution results it is required to superpose in the finite-element model the datum surface and median surface of the panel. The verified finite-element model can be used for examination of the structures referred to the biostructures class, which found a wide application in various branches of industry. The analytical model application is extended to the design definition stage; the application of the verified finite-element model is extended to the to the design experimental work for creation of five-layer panels with a solid filler.