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

Аннотация

This paper presents the results of the numerical and analytical study of natural and quasinatural bending-gravitational oscillations of a circular elastic ice plate floating on the fluid surface and frozen onto a cylindrical vertical support. In the framework of the shallow water theory for bounded and unbounded reservoirs, the dependence of natural and quasinatural frequencies of geometrical parameters of the oscillation region is studied.