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

被引:6
作者
Wu, Q. Y. [1 ]
Khabakhpasheva, T. I. [2 ,3 ]
Ni, B. Y. [1 ]
Korobkin, A. A. [2 ]
机构
[1] Harbin Engn Univ, Coll Shipbldg Engn, Harbin 150001, Peoples R China
[2] Univ East Anglia, Sch Math, Norwich NR4 7TJ, England
[3] Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia
基金
中国国家自然科学基金;
关键词
HORIZONTAL POROUS PLATE; WATER-WAVES; ELASTIC WAVES; HYDROELASTIC ANALYSIS; SURFACE-WAVES; GRAVITY-WAVES; SCATTERING; FLOW; PROPAGATION; TRANSMISSION;
D O I
10.1063/5.0175412
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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.
引用
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页数:16
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