This article is cited in 1 paper

Flexural-gravitational circumferential and radial vibrations of a plate floating on shallow water

V. O. Shemelina

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: Numerical and analytical studies of the natural and quasi-natural flexural-gravitational vibrations of an elastic plate floating on a liquid surface are performed based on shallow-water long-wave theory. Dependences of natural and quasi-natural frequencies on the geometrical parameters of the vibration region are studied for the cases of bounded and unbounded reservoirs. The effect of bottom irregularities in the form of a circular cylinder or a circular truncated cone on the natural and quasi-natural frequencies and functions is studied.

Keywords: flexural-gravitational vibrations, natural vibrations, hydroelasticity, shallow water, circular plate.

UDC: (539.3 + 532.5):629.12

Received: 16.05.2014
Revised: 06.04.2015

DOI: 10.15372/PMTF20160319

 English version: Journal of Applied Mechanics and Technical Physics, 2016, 57:3, 550–558

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