Fronts of flexural-gravity waves caused by a moving source of variable intensity
UDC
539.3:532.5EDN
REWAZCDOI:
10.31429/vestnik-23-1-63-72Abstract
In winter, many rivers, lakes and seas of the country are covered with ice. In order to prolong navigation and early opening of rivers and reservoirs, it becomes necessary to destroy the ice cover. One of the ways to destroy a floating ice sheet is the resonance method, which uses hovercraft. To increase the efficiency of the resonance method, Kozin V.M. proposed periodically changing the pressure in the air cushion of the vessel. In a linear formulation, unsteady three-dimensional fluctuations of the ice sheet are investigated, which are caused by a pressure source of variable intensity. The ice sheet is modeled by a thin elastic isotropic plate floating on the surface of an ideal incompressible fluid of finite depth. The expression for the elevation of the plate–liquid surface obtained by the method of Fourier and Laplace integral transformations is investigated by the stationary phase method for multidimensional integrals. The influence of the velocity of the source and the frequency of its oscillations on the leading edges of the resulting flexural-gravity waves is investigated. It is shown that the velocity of the pressure source has the greatest effect on the wave fronts caused by the elastic forces of the plate.
Keywords:
flexural-gravitational waves, elastic plate, ice cover, moving perturbations, critical speed, compressive forceFunding information
The study did not have sponsorship.
References
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Dates
Submitted
December 13, 2025
Accepted
January 28, 2026
Published
March 24, 2026
How to Cite
[1]
Malenko, Z.V., Yaroshenko, A.A., Fronts of flexural-gravity waves caused by a moving source of variable intensity. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2026, т. 23, № 1, pp. 63–72. DOI: 10.31429/vestnik-23-1-63-72
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Copyright (c) 2026 Маленко Ж.В., Ярошенко А.А.
This work is licensed under a Creative Commons Attribution 4.0 International License.
