Dynamic impact on the frozen support caused by natural and quasinatural oscillations of an ice plate

A. G. Greshilov

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

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.

Keywords: bending-gravitational oscillations, natural oscillations, hydroelasticity, shallow water, circular plate.

UDC: (539.3 + 532.5):629.12

Received: 10.12.2014

DOI: 10.15372/PMTF20160111

 English version: Journal of Applied Mechanics and Technical Physics, 2016, 57:1, 101–107

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