This paper deals with the submarine in ice conditions. Ice cover is modeled by a floating elastic plate. The hydrodynamic problem of the submarine motion is modeled by a point source which steady uniformly moves in water under floating ice plate. The analysis is carried out by using analytical methods theory of function of complex variables and integral transformations. Then the integral for ice deflection is evaluated numerically. The given solution is analyzed depending on a velocity of submarine, ice thickness, and submergence depth.
Waves are known to appear on the surface of the water in case a solid body is moving in the water, the waves moving in the direction of the body motion. The floating ice cover causes changes in the water surface boundary conditions. The velocity field in the water caused by the moving body also changes compared to the free-surface water case. Thus, corresponding changes can be expected in the characteristics of the wave formation. The investigations by Kheisin (1967) should be mentioned among the theoretical works dedicated to the problem. Kheisin's paper (1967) considered the two dimensional problem of the motion of a point vortex under a layer of broken ice. There it was found that the broken ice produced only minor changes to the gravitational waves caused by the motion of the submerged body. The article by Kozin, Onishchuk (1994) is devoted to model experiments proving the possibility of the ice plate destruction by the moving submarine. The aim of this paper is to study the form of flexural waves caused by the uniform motion of a point source submerged beneath a uniform layer of ice.
To solve the problem of solid body motion under the surface of water covered by floating ice we are using the procedure of solving analogous problem without ice conditions.
