Two-dimensional analysis of shallow sandwich panels

The shallow singly curved and rectangular in-plane sandwich panels affected by lateral loads are considered. The set of governing equations on the basis of the Timoshenko¯Reissner plate theory is derived for these panels in the case of general boundary conditions. Usage of any real boundary condition is ensured via an introduction of the Airyʹs function and two potentials including a potential of the vortex-type. The technique of the numerical solution is based on a combination of the solutions by Navier and Levy. Numerical analysis is carried out for the panel that is simply supported along all four edges and for the panel that is simply supported along its curved boundaries and has hinge-like supports along the straight boundaries