The paper deals with the theoretical investigation of the straight unsteady motion of a slender axisymmetric body submerged into the liquid below the Euler-Bernoulli plate floating on the liquid surface. The formulae describing the plate deflection and obtained with the help of integral and asymptotic methods are numerically analyzed with respect to velocity, acceleration, submergence depth and linear dimensions of the moving body and the plate thickness. The experimental model tests on a submarine (scale of 1:500) moving under a polymeric plate 0.001m thickness in the test basin measuring L×B×H=2.15×1.2×1.5m are carried out. Good agreement between theoretical and experimental results regarding the values of the plate maximum deflections for various submergence depths and velocities of the moving body is obtained.
The problem of a solid body moving in the liquid under a floating ice sheet is interesting from both theoretical and practical points of views. The use of submarines in ice conditions may entail the necessity of their surfacing from under the solid ice. For a vessel to have a safe surfacing, the ice sheet may be first broken or weakened by cracks by way of exciting flexural-gravity waves generated by a submarine moving near the ice-water interface. The problem of wave motion caused by a body moving near the water surface covered by a floating ice cover was first dealt with in the work by Kheisin (1967). Steady motion of a point source in non-homogeneous liquid of finite depth with an elastic plate floating on the surface was considered in the paper by Bukatov and Zharkov (1995). There the effect of the source submergence depth on the plate deflection was analyzed for the point source moving with low velocities.
