Large-time response of ice cover to a load moving along a frozen channel

Khabakhpasheva, Tatyana ORCID:, Shishmarev, Konstantin and Korobkin, Alexander ORCID: (2019) Large-time response of ice cover to a load moving along a frozen channel. Applied Ocean Research, 86. pp. 154-165. ISSN 0141-1187

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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 time-dependent 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 large-time 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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User: LivePure Connector
Date Deposited: 19 Mar 2019 10:30
Last Modified: 01 Sep 2023 00:36
DOI: 10.1016/j.apor.2019.01.020

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