This article is cited in 6 papers

Oscillations of a floating elastic plate under nonlinear interaction of bending-gravitational waves

A. E. Bukatov, A. A. Bukatov

Marine Hydrophysical Institute, Russian Academy of Sciences, Sevastopol, 299011, Russia

Abstract: Asymptotic decomposition to small quantities of the third order for the velocity potential of a fluid of finite depth and the bending deformations of a floating elastic plate arising from the interaction of harmonics of finite-amplitude progressive surface waves were constructed using the method of many scales. An expression for the second-harmonic amplitude was obtained, and critical values of the wavenumber were determined. Oscillations of the plate for different values of its thickness and elastic modulus were analyzed. Vertical displacements of the plate under bending deformation were studied.

Keywords: floating-plate oscillations, flexural-gravity waves, finite amplitude waves, wave interaction.

UDC: 532.59:539.3:534.12

Received: 15.05.2017
Revised: 18.10.2017

DOI: 10.15372/PMTF20180412

 English version: Journal of Applied Mechanics and Technical Physics, 2018, 59:4, 662–672

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