Behavior of a Semi-Infinite Ice Cover under a Uniformly Moving Load
L. A. Tkacheva
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: поверхностные волны, изгибно-гравитационные волны, плавающая упругая пластина, дисперсионные соотношения, движущаяся нагрузка, преобразование Фурье, метод Винера-Хопфа, surface waves, flexural-gravity waves, floating elastic plate, dispersion relations, moving load, Fourier transform, Wiener-Hopf technique
Abstract
This paper considered the behavior of a semi-infinite ice cover on the surface of an ideal incompressible fluid of finite depth under the action of a load moving at a constant velocity along the edge of the cover at some distance from it. The ice cover is simulated by a thin elastic plate of constant thickness. In a moving coordinate system, the deflection of the plate is assumed to be steady. An analytic solution of the problem is constructed using the Wiener-Hopf technique. The wave forces, the deflection of the plate, and the elevation of the free surface of the fluid at different speeds of the load are considered.
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