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SUMMARY:Waves and moving loads along frozen channels - Tatiana Khabakhpash
 eva (University of East Anglia\; Lavrentyev Institute of Hydrodynamics)
DTSTART:20171005T104500Z
DTEND:20171005T113000Z
UID:TALK84151@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-authors: Shishmarev Konstantin (Altay State Universit
 y\, Barnaul\, Russia)\, Korobkin Alexander (University of East Anglia\, No
 rwich\, UK)<br></span><span><br>Hydroelastic waves caused by external load
 s are well studied for an ice cover of infinite extent. Similar problems\,
  but with an ice cover clamped to the vertical walls in a channel\, are st
 udied in less detail. However\, the presence of the walls and clamped cond
 itions of the ice to the walls may significantly affect distributions of d
 eflections and stresses in the ice cover. These problems are of practical 
 importance because laboratory experiments on loads moving along an ice cov
 er are performed in ice tanks. The response of the ice cover caused by a m
 oving localized external load is studied numerically and analytically for 
 a channel with rectangular cross section. The equation of viscoelastic thi
 n plate with a given damping coefficient is used for describing oscilation
 s of the ice. The liquid beneath the ice is inviscid and incompressible\, 
 the flow is potential. The problem is solved with the help of the Fourier 
 transform along the channel and the method of normal modes across the chan
 nel. The numerical results show a significant difference in the distributi
 ons of the ice deflections in the channel and in the ice cover of infinite
  extent for the same loading conditions. For the ice cover of infinite ext
 ent there is a single dispersion curve and two critical velocity of hydroe
 lastic wave propagation\, whereas the presence of the channel walls leads 
 to the infinite number of the dispersion curves and critical speeds. The c
 ritical speeds depend on the channel width and decrease with increase of t
 he distance between the walls of the channel.</span>
LOCATION:Seminar Room 1\, Newton Institute
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