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Steady-State Motion of a Load on an Ice Cover with Linearly Variable Thickness in a Channel Full article

Journal Journal of Marine Science and Engineering
ISSN: 2077-1312
Output data Year: 2023, Volume: 11, Number: 5, Article number : 1045, Pages count : DOI: 10.3390/jmse11051045
Tags hydroelastic waves; moving load; frozen channel; linear thickness; ice deflections; strains
Authors Shishmarev Konstantin 1 , Khabakhpasheva Tatyana 2 , Oglezneva Kristina 1
Affiliations
1 Department of Differential Equations, Altai State University, 656049 Barnaul, Russia
2 Lavrentyev Institute of Hydrodynamics SB RAS, 630090 Novosibirsk, Russia

Funding (1)

1 Министерство науки и высшего образования Российской Федерации FWGG-2021-0011

Abstract: The paper considers the visco-elastic response of the ice cover in a channel under an external load moving with constant speed along the center line. The channel has a rectangular cross-section with a finite depth and width. The fluid in the channel is inviscid and incompressible and its motion is potential. The fluid is covered by a thin sheet of ice frozen to the channel walls. The ice thickness varies linearly symmetrically across the channel, being lowest at the center of the channel and highest at the channel walls. Ice deflections and strains in the ice cover are independent of time in the coordinate system moving with the load. The problem is solved numerically using Fourier transform along the channel and the method of normal modes across the channel. The series coefficients for normal modes are determined by truncation for the resulting infinite systems of linear algebraic equations. The ice deflections and strains in the ice plate are investigated and compared to the case of constant mean ice thickness. It is shown that even a small variation of the ice thickness significantly changes the characteristics of the hydroelastic waves in the channel
Cite: Shishmarev K. , Khabakhpasheva T. , Oglezneva K.
Steady-State Motion of a Load on an Ice Cover with Linearly Variable Thickness in a Channel
Journal of Marine Science and Engineering. 2023. V.11. N5. 1045 . DOI: 10.3390/jmse11051045 WOS Scopus РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000997696600001
Scopus: 2-s2.0-85160763464
Elibrary: 61565294
OpenAlex: W4376610902
Citing:
DB Citing
OpenAlex 8
Elibrary 8
Scopus 7
Web of science 6
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