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Journal of Applied Mechanics and Technical Physics

2016 year, number 1

Dynamic Impact on the Frozen Support Caused by Natural and Quasinatural Oscillations of an Ice Plate

A. G. Greshilov
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk 630090
Keywords: изгибно-гравитационные колебания, собственные колебания, гидроупругость, мелкая вода, круглая пластина, bending-gravitational oscillations, natural oscillations, hydroelasticity, shallow water, circular plate

Abstract

This papers the results of the numerical and analytical study of natural and quasinatural bending-gravitational oscillations of a circular elastic ice plate floating on the liquid surface and frozen to a cylindrical vertical support. In the framework of the theory of long waves in shallow water for limited and unlimited reservoirs, the dependence of natural and quasinatural frequencies of the geometrical parameters of the oscillation region is studied.