Author(s): Sturova I. V. ; Tkacheva L. A.
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Abstract: Dynamic perturbations occurring in fluid and ice cover as a result of the action of mechanical external force have been thoroughly studied in the linear treatment for an infinitely extended homogeneous ice cover. In reality, the ice cover is not homogeneous since it can cover not the entire upper boundary of a fluid, but only its part and also the cracks and the patches of ice-free water may take place in it. The research of a steady three-dimensional (3-D) problem for flexural-gravity waves (FGWs) generated by a local pressure distribution moving with uniform speed along the rectilinear edge of semi-infinite ice sheet is presented. This load simulates the motion of an air-cushion vehicle (ACV). Five cases are considered: 1) the movement of the load on the ice sheet while the remaining half of the fluid surface is free; 2) two semi-infinite ice sheets (may be of different thickness) divided by a crack with free edges; 3) the fluid is bounded by a rigid vertical wall and the edge of the ice sheet may be either free or clamped; 4) load movement on the free surface near the ice sheet; 5) moving load on open water lead between two semi-infinite floating ice sheets (ice channel). The fluid flow is described by the linearized velocity potential theory, while the ice sheet is modeled through a thin elastic plate floating on the water surface. The solutions are obtained by two methods: the Wiener-Hopf technique (WHT) and the matched eigenfunction expansions (MEE). The vertical displacements of ice sheet and free surface as well as strains in ice and the forces acting on vehicle in horizontal directions are determined at different speeds of ACV.
Year: 2020