Abstract
Unsteady response of an ice cover in a channel with vertical walls is studied for large times. The ice deflection is caused by a load moving along the frozen channel at a constant speed. The ice cover is modelled as a thin elastic plate clamped to the walls of the channel. The timedependent problem is solved by using the Fourier transform along the channel and the method of separating variables. In the system moving along the channel together with the load, the largetime deflection of the ice cover consists of steady deflection and standing waves in front and behind the load. The number of waves, their frequencies and wavenumbers depend on the speed of the load and the values of the critical speeds for the channel. The number of the waves and their amplitudes are calculated for a given load and its speed. The maximum stress in the ice as a function of the load speed is estimated.
Original language  English 

Pages (fromto)  154165 
Number of pages  11 
Journal  Applied Ocean Research 
Volume  86 
Early online date  4 Mar 2019 
DOIs  
Publication status  Published  May 2019 
Profiles

Alexander Korobkin
 School of Mathematics  Professor in Applied Mathematics
 Fluid and Solid Mechanics  Member
Person: Research Group Member, Academic, Teaching & Research