Flexural-gravity circumferential and radial oscillations of a plate floating in shallow water

Abstract

The natural and quasi-natural flexural-gravity oscillations of an elastic plate floating on a liquid surface have been studied numerically and analytically based on shallow-water long-wave theory. Dependences of the natural and quasi-natural frequencies on the geometrical parameters of the oscillation region have been investigated for the cases of bounded and unbounded basins. The effect of bottom irregularity in the form of a circular cylinder or a circular truncated cone on the natural and quasi-natural frequencies and functions has been examined.