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Journal ArticleDOI

Resonance interactions of waves in an ice channel

Aleksey Marchenko
- 01 Jan 1997 - 
- Vol. 61, Iss: 6, pp 931-940
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TLDR
In this paper, it is shown that an ice channel is a waveguide for surface waves and the dispersive properties of the natural oscillations of the liquid in the channel are investigated.
About
This article is published in Journal of Applied Mathematics and Mechanics.The article was published on 1997-01-01. It has received 11 citations till now. The article focuses on the topics: Lead (sea ice) & Surface wave.

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Citations
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Journal ArticleDOI

Of ocean waves and sea-ice revisited

TL;DR: In this article, Squire et al. distinguish between two major seaice types: continuous ice, such as is normally found in the central Arctic, and the ice of marginal neighbourhoods, i.e. near the open sea, where individual ice floes and cakes are present at typically lower levels of concentration.
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On the piston and sloshing modes in moonpools

TL;DR: In this article, the authors considered rectangular moonpools of large horizontal dimensions and determined the natural modes of oscillation of the inner free surfaces under the assumption of infinite water depth and infinite length and beam of the barges that contain the moonpool.
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Wave scattering by narrow cracks in ice sheets floating on water of finite depth

TL;DR: In this article, an explicit solution for the scattering of an obliquely incident flexural-gravity wave by a narrow straight-line crack separating two semi-infinite thin elastic plates floating on water of finite depth is provided.
Journal ArticleDOI

Parametric excitation of flexural-gravity edge waves in the fluid beneath an elastic ice sheet with a crack

TL;DR: In this article, the properties of elastic-gravity oscillations of deep water beneath a thin elastic plate with a crack are investigated, and the dependence of the reflection and transition coefficients of the waves through the crack on wave frequency and incident angle are found.
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Hydroelastic response of an ice sheet with a lead to a moving load

TL;DR: In this article, a boundary integral method (BIM) for the flow under the ice is combined with the finite difference method for the ice plate with free-free edge conditions to solve the coupled problem of linear hydroelasticity.
References
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Journal ArticleDOI

Energy transfer between external and internal gravity waves

TL;DR: In a two-layer liquid system, nonlinear resonant interactions between a pair of external (surface) waves can result in transfer of energy to an internal wave when appropriate resonance conditions are satisfied.
Journal ArticleDOI

Time-dependent response of floating ice to a steadily moving load

TL;DR: In this article, an exact expression for the ice deflection is derived, and then interpreted by means of asymptotic expansions for large t in the vicinity of the source.
Journal ArticleDOI

A mathematical analysis of the steady response of floating ice to the uniform motion of a rectangular load

TL;DR: In this article, the authors considered the steady response of an infinite unbroken floating ice sheet to the uniform motion of a rectangular load and derived a Fourier integral of the displacement of the surface.
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