Small-amplitude waves in a floating poroelastic plate forcing by vertical pitching plate

Wu, Q. Y., Khabakhpasheva, T. I. ORCID: https://orcid.org/0000-0003-4058-0508, Ni, B. Y. and Korobkin, A. A. ORCID: https://orcid.org/0000-0003-3605-8450 (2023) Small-amplitude waves in a floating poroelastic plate forcing by vertical pitching plate. Physics of Fluids, 35 (11). ISSN 1070-6631

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Abstract

The linear two-dimensional problem of flexural-gravity waves generated by an oscillating rigid plate build-in a floating poroelastic plate is studied. The problem is coupled. The plate deflections and the hydrodynamics loads are determined at the same time. The liquid under the poroelastic plate is inviscid and incompressible. Dynamics of the floating plate is described by a thin elastic plate equation. Porosity of the floating plate is taken into account only through the liquid flux into the plate. The velocity of the inflow is assumed to be governed by Darcy's law being proportional to the hydrodynamic pressure at the plate/liquid interface. Two cases of the oscillating rigid plate with and without its part in the liquid are considered. The problems are solved by the Fourier transform method for non-zero porosity and by the vertical mode method for elastic plates with zero porosity. The deflection and strain distributions are analyzed depending on the excitation frequency and the porosity. Two models of floating plate porosity, where the hydrostatic pressure is included into Darcy's law (Zavyalova's model) and excluded (Meylan's model), are compared. Plate porosity induces damping to the system. It is shown that the damping rate is non-monotonic with respect to the plate porosity.

Item Type:	Article
Additional Information:	Funding Information: This work was supported by the National Natural Science Foundation of China (Grant Nos. 52192693, 52192690, 51979051, 51979056, and U20A20327) and the National Key Research and Development Program of China (No. 2021YFC2803400), to which the authors are most grateful.
Uncontrolled Keywords:	computational mechanics,condensed matter physics,mechanics of materials,mechanical engineering,fluid flow and transfer processes ,/dk/atira/pure/subjectarea/asjc/2200/2206
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	04 Mar 2024 18:34
Last Modified:	23 Jul 2024 17:31
URI:	https://ueaeprints.uea.ac.uk/id/eprint/94511
DOI:	10.1063/5.0175412

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