publication . Article . 2017

Stability of Ice Cover Oscillations in a Channel Problem Solution with Initial Data

Шишмарев, К.А.;
Open Access Russian
  • Published: 01 Nov 2017 Journal: Izvestiya of Altai State University (issn: 1561-9451, eissn: 1561-9443, Copyright policy)
  • Publisher: Izvestiya of Altai State University
Abstract
In this paper, an initial-boundary problem of ice cover oscillations in an infinite channel caused by a moving load is considered within the linear theory of hydroelasticity. Mathematical model is based on a combined system of differential equations describing vertical deflection of the ice cover and motion of fluid in the channel. The ice cover is modeled by the equation of a thin viscoelastic plate. Viscoelastic properties of ice are modeled by the Kelvin-Voigt rheological law. The liquid in the channel is inviscid and incompressible. The relation between the viscoelastic and hydrodynamic parts of the problem is established by the linearized kinematic and dyna...
Subjects
arXiv: Physics::Fluid Dynamics
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