Behavior of Semi-Infinite Ice Cover under Periodic Dynamic Impact
L. A. Tkacheva
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: поверхностные волны, изгибно-гравитационные волны, упругая пластина, дисперсионные соотношения, преобразование Фурье, метод Винера - Хопфа, surface waves, flexural gravitational waves, elastic plate, dispersion relations, Fourier transform, Wiener-Hopf method
Abstract
Oscillations of semi-infinite ice cover in an ideal incompressible fluid of finite depth under local time-periodic axisymmetric load type are considered. Ice cover is simulated by a thin elastic plate of constant thickness. An analytical solution of the problem is obtained using the Wiener-Hopf method. The asymptotic behavior of the amplitudes of oscillations of the plate and the liquid in the far field is studied. It is shown that the propagation of waves in the far field is uneven: in some directions the waves propagate at significantly greater amplitude.
|
