Oscillations of a two-layer partially porous ice cover under the action of periodic load

The problem of oscillations of a partially porous ice cover under the action of periodic oscillating load is considered. The ice is modeled as a two-layer system of thin plates connected by an intermediate Pasternak layer. The upper plate is elastic, while the lower one is porous and elastic. The lower plate contacts with an ideal incompressible fluid. The fluid flow is potential. The problem is solved using Fourier transform along the plates, and periodic ice deflections and strains in each plate are determined. It is found that increasing the porosity leads to damping of the oscillations in both plates. The behavior of the plates significantly depends on the values of the parameters of the intermediate layer. The determining parameter for the behavior of the plates to be the same is the Winkler coefficient $K$ in the considered Pasternak layer.