Aleksei Greshilov
Lavrentyev Institute of Hydrodynamics of SB RAS, Russia
Title: Dynamic impact on a frozen support caused by natural and quasinatural oscillations of an ice plate
Biography
Biography: Aleksei Greshilov
Abstract
Interest in the problem of ice plate oscillations is due to its wide usage in many practical applications and engineering calculations (design of floating platforms, installation of oil rigs in the polar environment, creation of airfields on ice, etc.). It should be noted that there are projects of giant floating facilities (airports and islands) based on the floating plate concept. The aim of this work is to study the behavior of an elastic plate frozen onto a vertical support and floating on the surface of an ideal incompressible fluid in the case of bounded and unbounded reservoirs and to determine the dynamic loads on the vertical support considering the unevenness of the bottom. The purpose is to consider the asymptotic behavior of natural frequencies with the endlessly increasing reservoir radius and determine the dependence of the natural oscillation frequencies of the plate on the natural oscillation frequencies of the free water surface in a closed reservoir (seiches). Here the natural and quasinatural oscillations of the elastic plate floating on the surface of an ideal incompressible fluid are considered within the linear shallow water theory.
Recent Publications
1. A G Greshilov (2017) Chladni figures of a circular plate floating in the bounded and unbounded water basins with the cantilevered central support. Journal of Applied and Industrial Mathematics 11(1):49–57.
2. A A Korobkin and T I Khabakhpasheva (2007) Construction of exact solutions of a problem concerning a floating plate. Journal of Applied Mathematics and Mechanics 71(2):321–328.
3. I V Sturova (2008) Effect of Bottom Topography on the Unsteady Behavior of an Elastic Plate Floating on Shallow Water. Journal of Applied Mathematics and Mechanics 72(4):417–426.
4.V V Alekseev, D A Indeitsev and Yu A Mochalova (2002) Vibration of a flexible plate in contact with the free surface of a heavy liquid. Technical Physics 47(5):529–534.
5. G Zilman and T Miloh (2000) Hydro-elastic buoyant circular plate in shallow water: a closed form solution. Applied Ocean Research 22:191–198.