The vertical mode method in a problem of hydroelastic waves generated by an external load

Tatyana Sibiryakova, Konstantin Shishmarev, Kristina Zavyalova, Alexander Korobkin

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Abstract

Two-dimensional problem of the response of an ice cover to an applied external load is considered. The ice cover is modeled as a thin elastic plate. The fluid under the plate is incompressible, inviscid and is of finite depth. The external load has a given shape and does not move. Amplitude of the load oscillates at a given frequency. The deflections of the ice have the form of standing waves far away from the load. The problem is solved using the Green's function and the method of vertical modes. The eigenvalues of the vertical modes are the roots of the dispersion relation for hydroelastic waves propagating along the plate. The contribution of each type of roots to the formation of the ice deflections is studied. It is shown that the ice deflections for an elastic plate approximate the ice deflections for a porous plate with low porosity.

Original languageEnglish
Title of host publicationNumerical Methods for Solving Problems in the Theory of Elasticity and Plasticity, EPPS 2021
EditorsVasily Fomin, Andrey Buzyurkin
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735441606
DOIs
Publication statusPublished - 6 Dec 2021
Event27th Conference on Numerical Methods for Solving Problems in the Theory of Elasticity and Plasticity, EPPS 2021 - Krasnoyarsk, Russian Federation
Duration: 5 Jul 20219 Jul 2021

Publication series

NameAIP Conference Proceedings
Volume2448
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference27th Conference on Numerical Methods for Solving Problems in the Theory of Elasticity and Plasticity, EPPS 2021
Country/TerritoryRussian Federation
CityKrasnoyarsk
Period5/07/219/07/21

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