Interaction of a flexural-gravity wave with a vertical rigid plate built in a floating elastic plate

Wu, Qiyuan, Khabakhpasheva, Tatyana ORCID: https://orcid.org/0000-0003-4058-0508, Ni, Baoyu and Korobkin, Alexander ORCID: https://orcid.org/0000-0003-3605-8450 (2023) Interaction of a flexural-gravity wave with a vertical rigid plate built in a floating elastic plate. Journal of Marine Science and Engineering, 11 (4). ISSN 2077-1312

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Abstract

The linear two-dimensional problem of interaction between an hydroelastic wave propagating along an elastic floating ice plate with built-in vertical rigid plate is studied. The fluid under the ice is inviscid and incompressible. The fluid depth is finite. The deflection of the ice plate is described by the linear theory of thin elastic plates. The flow under the ice is potential. The total velocity potential is decomposed into the potential of the incident wave, even potential caused by the vertical motion of the rigid plate, and an odd potential caused by the rotation of the rigid plate. The vertical mode method is used. The third potential is obtained by solving a mixed boundary-value problem numerically using Chebyshev polynomials. The solution is validated by analysis of its convergence. The first and second potentials, and the corresponding deflections and strains of the ice plate, are obtained analytically. The motions of the rigid plate, as well as deflection and strains in the floating plate, are numerically analyzed. It is shown that the rotation of the rigid plate due to the incident wave is the main factor of increasing strains in the ice plate.

Item Type: Article
Additional Information: Funding Information: This work is supported by the National Natural Science Foundation of China (Nos. 52192693, 52192690, 51979051, 51979056, and U20A20327), and the National Key Research and Development Program of China (2021YFC2803400), to which the authors are most grateful.
Uncontrolled Keywords: deflections,flexural-gravity wave,floating ice plate,hydroelasticity,interaction,strains,vertical mode method,civil and structural engineering,water science and technology,ocean engineering ,/dk/atira/pure/subjectarea/asjc/2200/2205
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 18:34
Last Modified: 04 Mar 2024 18:35
URI: https://ueaeprints.uea.ac.uk/id/eprint/94513
DOI: 10.3390/jmse11040697

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