Abstract
An interaction of the moving submerged circular cylinder with elastic solid ice cover is investigated. The method of reduction to integral-differential system of equations is extended to the case of elastic ice sheet floating on the fluid surface. The elastic properties of the ice are accounted for by the Euler’s beam theory. A special iterative procedure is developed to construct small-time asymptotic solution for the cylinder moving with constant acceleration from rest. Elastic-gravity waves in the ice cover are studied in a wide range of parameters.
Highlights
The method of reduction to integral-differential system of equations is extended to the case of elastic ice sheet floating on the fluid surface
In this paper we study analytically the deflection of an elastic ice-plate floating on the surface of ideal fluid caused by unsteady motion of submerged circular cylinder
The problem of unsteady motion of submerged body under ice cover in homogenous or stratified fluids was considered in linear statement in [2]
Summary
In this paper we study analytically the deflection of an elastic ice-plate floating on the surface of ideal fluid caused by unsteady motion of submerged circular cylinder. An interaction of the moving submerged circular cylinder with elastic solid ice cover is investigated. The method of reduction to integral-differential system of equations is extended to the case of elastic ice sheet floating on the fluid surface.
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