Journal Article10.1016/S0141-1187(02)00005-6
Modified eigenfunction expansion methods for interaction of water waves with a semi-infinite elastic plate
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TL;DR: In this article, the error function in the eigenfunction expansion method of Fox and Squire has been modified based on a dimensional analysis and also extended to plates with either a simply supported or a built-in edge.
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About: This article is published in Applied Ocean Research. The article was published on 01 Dec 2001. The article focuses on the topics: Eigenfunction & Error function.
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Citations
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.
511
Linear water wave propagation through multiple floating elastic plates of variable properties
TL;DR: In this paper, the problem of linear water wave propagation under a set of elastic plates of variable properties was investigated, and the solution method was based on an eigenfunction expansion under each elastic plate and on matching these expansions at each plate boundary.
86
Reflection and transmission at the ocean/sea-ice boundary
Christopher Linton,Hyuck Chung +1 more
TL;DR: In this paper, the scattering of water waves by the edge of a semi-infinite ice sheet in a finite depth ocean is solved using the residue calculus technique, and exact solutions to these problems are obtained, equivalent to those that can be obtained if the Wiener-Hopf technique is used.
82
Water wave scattering by an elastic plate floating in an ocean with a porous bed
Paramita Maiti,B. N. Mandal +1 more
TL;DR: In this article, the problem of water wave scattering by a thin horizontal elastic plate (semi-infinite as well as finite) floating on an ocean of uniform finite depth in which the ocean bed is composed of porous material of a specific type is analyzed.
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Analytical Solution for Long-Wave Reflection by a Rectangular Obstacle with Two Scour Trenches
TL;DR: In this paper, a closed-form analytical solution in terms of the first and second kinds of Bessel functions is obtained, which finds two classic analytical solutions as its special cases, i.e., the wave reflection from a rectangular obstacle and from an infinite step.
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References
On the Oblique Reflexion and Transmission of Ocean Waves at Shore Fast Sea Ice
Colin Fox,Vernon A. Squire +1 more
TL;DR: In this paper, a mathematical model describing the oblique reflexion and penetration of ocean waves into shore fast sea ice is presented, where all velocity potentials occurring in the open water region to be matched precisely to their counterparts in the ice covered region.
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Reflection and transmission characteristics at the edge of shore fast sea ice
Colin Fox,Vernon A. Squire +1 more
TL;DR: In this article, the reflection and transmission of ocean waves at a sea ice boundary is reconsidered, where the sea ice is modelled as a continuous, thin elastic plate of uniform thickness, floating on water of arbitrary constant depth.
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•Journal Article
Research on hydroelastic responses of VLFS : Recent progress and future work
TL;DR: A review of recent studies on the prediction of hydroelastic responses of a very large floating structure (VLFS) is presented in this paper, where it is divided into the pontoon type and column-supported type structures.
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