ABSTRACT:

The paper deals with the linear axial symmetry task concerning the effect of an impulsive load on a viscoelastic ice plate superjacent the elastic basis, i.e. water. Analysis is made of the following factors: the effect of ice plate thickness, relaxation time, variable depth of a basin, remoteness and steepness of the bottom surface coast sloping and choice of a function type of an instantaneous impulsive load on the amplitude of the plate deflection.

INTRODUCTION

The conduct of ice under heavy loads originating in explosions, i.e. impact impulses, is not sufficiently investigated. Nevertheless, this problem is of great economic value, as the breaking down an ice cover by explosion is used when constructing runways, to smooth out hummocks on the ice surface, to break down ice bonds and heavy hummocked ices when building shipping canals by ice-breakers, to expand of passageways between two ice caps and in their slivering, in squeezing ships by heavy ice, etc. For estimation of this technology efficiency and also for its optimization both experimental and appropriate theoretical investigations are necessary. The purpose of the present paper is to consider the linear axial symmetry task concerning the conduct of an ice cover after being affected by an instantaneous impulsive load. Earlier Fox (1993) considered a similar problem without the account viscosity. The book Squire et al (1996) includes an extensive bibliography on a similar theme.

MATHEMATICAL STATEMENT

Here we consider a floating infinite ice plate which at first is at rest in the state of equilibrium and is actuated in an instant t = 0 by a shock loading. The coordinates are positioned as follows: the coordinate basic origin is combined with the impulse application point, the plane coincides with a nonperturbed ice - water interface, the axis Oz is directed vertically upward.

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