WAVE PATTERN DUE TO A LOAD MOVING ON THE FREE SURFACE OF A FLUID ALONG THE EDGE OF AN ICE SHEET
L. A. Tkacheva
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: поверхностные волны, изгибно-гравитационные волны, плавающая упругая пластина, дисперсионные соотношения, критическая скорость, волновые силы, деформации, преобразование Фурье, метод Винера - Хопфа}, surface waves, flexural-gravity waves, floating elastic plate, dispersion relations, critical speed, wave forces, deformations, Fourier transform, Wiener-Hopf technique
Abstract
The problem of waves generated in a fluid and an ice sheet by a pressure region moving on the free surface of the fluid along the edge of the semi-infinite ice sheet was solved using the Wiener-Hopf method. The load applied in some region simulates an air cushion vehicle, and the ice sheet is modeled by a thin elastic plate of constant thickness on the surface of an ideal incompressible fluid of finite depth. In a moving coordinate system, the plate deflection and the fluid elevation are assumed to be steady. The wave forces, the elevation the free surface of the fluid, the deflection and deformation of the plate at various speeds of the load were investigated. It has been found that at near-critical load speeds, the ice sheet has a significant effect on the wave forces (wave resistance and side force) acting on the body moving on the free surface, and this effect is most pronounced at small distances from the edge. It has been shown that for some values of the speed, ice thickness, and load pressure, breaking of the ice sheet near the edge is possible.
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