Abstract
The solution of a steady three-dimensional problem for the wave disturbances induced by a pressure distribution moving with uniform speed along the rectilinear edge of semi-infinite ice sheet is presented. This external load simulates the air-cushion vehicle. The problem is formulated within linear hydroelastic theory. The fluid is assumed to be inviscid and incompressible and its motion is potential. The ice sheet is treated as an elastic thin plate using the Kirchhoff-Love model. The solution of this problem is constructed using the Fourier transform and the Wiener-Hopf technique. The displacements of free surface and ice cover are determined, as well as power characteristics (wave resistance and side force) acting on the vehicle at various speeds of its movement: subcritical and supercritical relative to the minimum phase velocity of flexural-gravity waves in the ice cover. It is found that at speeds close to the critical velocity of flexural-gravity waves, the wave forces undergo sharp changes. It is shown that for some values of load speed, ice thickness and external pressure, the ice fracture near the edge is possible.
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