Abstract: Linear hydroelastic waves propagating in an ice channel are investigated. The ice thickness is constant along the channel and variable across the channel. The channel is of rectangular cross section with finite depth and of infinite extent. Liquid in the channel is inviscid and incompressible. The liquid flow caused by the ice deflection is potential. The ice is modeled by a thin elastic plate clamped to the channel walls. The coupled hydroelastic problem is reduced to the problem of the wave profiles across the channel. The wave profiles are sought as series of normal dry modes of the plate, coefficients of which are to be determined. Dispersion relations of these hydroelastic waves, their phase speeds and profiles across the channel are determined.

Cite: Shishmarev K.A. , Oglezneva K.N.
Characteristics of periodic hydroelastic waves in a frozen channel with a non- uniform thickness of ice.
In compilation Proceedings Workshop “Mathematics of Sea Ice and Ice Sheets“, 2023. 2023.

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