This article is cited in 2 papers

Finite-amplitude waves in a homogeneous fluid with a floating elastic plate

A. E. Bukatov, A. A. Bukatov

Sea Hydrophysical Institute, National Academy of Sciences of Ukraine, Sevastopol’, 99011, Ukraine

Abstract: Equations for three nonlinear approximations of a wave perturbation in a homogeneous ideal incompressible fluid covered by a thin elastic plate are obtained using the method of multiple scales and taking into account that the acceleration of vertical flexural displacements of the plate is nonlinear. Based on the obtained equations, asymptotic expansions up third-order terms are constructed for the fluid velocity potential and the perturbations of the plate-fluid interface (plate bending) caused by a traveling periodic wave of finite amplitude. The wave characteristics are analyzed as functions of the elastic modulus and thickness of the plate and the length and tilt of the initial fundamental harmonic wave.

Keywords: surface waves, flexural-gravity waves, floating plate vibrations.

UDC: 532.59:539.3:534.12

Received: 07.08.2008
Accepted: 31.10.2008

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:5, 785–791

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