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

Sibiryakova, Tatyana, Shishmarev, Konstantin, Zavyalova, Kristina and Korobkin, Alexander ORCID: (2021) The vertical mode method in a problem of hydroelastic waves generated by an external load. In: Numerical Methods for Solving Problems in the Theory of Elasticity and Plasticity, EPPS 2021. AIP Conference Proceedings . American Institute of Physics Inc., SUN. ISBN 9780735441606

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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.

Item Type: Book Section
Additional Information: Funding Information: This work was carried out according to project MK-204.2020.1 "Initial-boundary value problems for equations of fluid motion in poroelastic media and their application in the dynamics of snow-ice cover" with the support of a grant from the President of the Russian Federation. Publisher Copyright: © 2021 Author(s).
Uncontrolled Keywords: physics and astronomy(all) ,/dk/atira/pure/subjectarea/asjc/3100
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics
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Depositing User: LivePure Connector
Date Deposited: 04 Mar 2024 16:26
Last Modified: 04 Mar 2024 16:26
DOI: 10.1063/5.0073826

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