Flexural-Gravitational Circumferential and Radial Vibrations of a Plate Floating on Shallow Water
V. O. Shemelina
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: изгибно-гравитационные колебания, собственные колебания, гидроупругость, мелкая вода, круглая пластина, flexural-gravitational vibrations, natural vibrations, hydroelasticity, shallow water, circular plate
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.
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