This paper deals with the linear 2-dimensional task concerning the effect of an impulsive load on a viscoelastic ice plate on 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 coastal bottom-surface slope, and choice of a function type of an instantaneous impulsive load on the amplitude of the plate deflection.
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 exploding an ice cover is used when constructing runways, smoothing out hummocks on the ice surface, breaking down ice bonds and heavy hummocked ice when building shipping canals by ice-breakers, expanding passageways between 2 ice caps, and in their slivering, in squeezing ships by heavy ice, etc. For estimating this technology's efficiency and optimization, both experimental and appropriate theoretical investigations are necessary. The purpose of this paper is to consider the 2-dimensional task concerning the conduct of an ice cover after it is affected by an instantaneous impulsive load. Earlier, Fox (1993) and Kerr (1976) considered a similar problem, but without accounting for a coastal bottom-surface slope. The book Moving Loads on Ice Plates by Squire et al. (1996) includes an extensive bibliographyon a similar theme.
Here we consider a floating and infinite ice plate which at first is at rest in a state of equilibrium and is then 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 axis Ox coincides with the unperturbed ice water interface, and the axis Oz is directed vertically upward.
