Three-Dimensional Bending-Gravitational Waves in a Floating Ice Sheet from a Moving Source of Disturbances
- Authors: Malenko Z.V.1,2, Yaroshenko A.A.1,2
-
Affiliations:
- Branch of the Admiral F.F. Ushakov State Maritime University in Sevastopol
- Sevastopol State University
- Issue: Vol 87, No 6 (2023)
- Pages: 1037-1048
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/232552
- DOI: https://doi.org/10.31857/S0032823523060115
- EDN: https://elibrary.ru/AOECZR
- ID: 232552
Cite item
Abstract
The ice cover is modeled by a thin elastic isotropic plate floating on the surface of a liquid of finite depth. The source of disturbances moves along the surface of the plate. The values of critical velocities at which the character of the wave disturbance changes are obtained. The angular zones in which the waves propagate are determined. The influence of the velocity of movement of the source of disturbances, the thickness of the ice plate, compression and stretching forces on the amplitudes of the waves formed is investigated.
About the authors
Zh. V. Malenko
Branch of the Admiral F.F. Ushakov State Maritime University in Sevastopol; Sevastopol State University
Author for correspondence.
Email: zhvla17@mail.ru
Russia, Sevastopol; Russia, Sevastopol
A. A. Yaroshenko
Branch of the Admiral F.F. Ushakov State Maritime University in Sevastopol; Sevastopol State University
Author for correspondence.
Email: yaroshenko.575@yandex.ru
Russia, Sevastopol; Russia, Sevastopol
References
- Ivanov I.K., Kobeko P.P., Shulman A.R. Deformation of the ice cover during the movement of goods // J. Tech. Phys., 1946, vol. 16, no. 5, pp. 257–262. (in Russian)
- Zuev V.A. Means of Prolonging Navigation on Inland Waterways. Leningrad: Sudostroenie, 1986. 208 p. (in Russian)
- Zuev V.A., Kozin V.M. The Use of Hovercrafts for the Destruction of the Ice Sheet. Vladivostok: Far Eastern Univ. Pub., 1988. 128 p. (in Russian)
- Zhestkaya V.D., Kozin V.M. Studies of the Possibilities of Destruction of the Ice Cover by Amphibious Hovercraft by the Resonant Method. Vladivostok: Dalnauka, 2003. 161 p. (in Russian)
- Kozin V.M. Resonant Method of Ice Cover Destruction. Inventions and Experiment. Moscow: Acad. Natural Sci., 2007. 355 p. (in Russian)
- Kozin V.M., Zemlyak V.L., Rogozhnikova E.G., Pogorelova A.V. The Influence of Ice Conditions on the Deformed State of the Ice Cover from the Movement of the Load. Novosibirsk: SB RAS Pub., 2020. 120 p. (in Russian)
- Heisin D.E. Dynamics of the Ice Cover. Leningrad: Hydrometeoizdat, 1967. 215 p. (in Russian)
- Dotsenko S.F. Unsteady gravity-elastic and gravity-capillary ship waves // Fluid Dyn., 1978, vol. 13, no. 5, pp. 658–663. doi: 10.1007/BF01050226
- Bukatov A.E., Yaroshenko A.A. The influence of a uniformly compressed floating elastic plate on the development of three-dimensional waves in a homogeneous fluid // Fluid Dyn., 1984, vol. 19, no. 6, pp. 925–930. doi: 10.1007/BF01411581
- Bukatov A.E. Waves in the Sea with Floating Ice Cover. Sevastopol: Marine Hydrophys. Inst., 2017. 360 p. (in Russian)
- Kozin V.M., Zhestkaya V.D., Pogorelova A.V. et al. Applied Problems of Ice Cover Dynamics. Moscow: Acad. Natural Sci., 2008. 329 p. (in Russian)
- Wilson J.T. Coupling between moving loads and flexural waves in floating ice sheets // US Army SIPRE. Rep. 34, 1955, pp. 1–33.
- Wilson J.T. Moving loads on floating ice sheets. // Project 2432, Univ. Michigan Res. Inst., 1958, 22 p.
- Squire V.A., Hosking R.J., Kerr A.D., Langhorne P.J. Moving Loads on Ice Plates. Springer Sci.&Business Media, 2012. 236 р.
- Das S., Sahoo T., Meylan M.H. Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity // Proc. Roy. Soc. A, 2018, vol. 474, iss. 2209, 19 p. doi: 10.1098/rspa.2017.0223
- Dinvay E., Kalisch H., Părău E.I. Fully dispersive models for moving loads on ice sheets // J. Fluid Mech., 2019, vol. 876, pp. 122–149. doi: 10.1017/jfm.2019.530
- Khabakhpasheva T., Shishmarev K., Korobkin A. Large-time response of ice cover to a load moving along a frozen channel // Appl. Ocean Res., 2019, vol. 86, pp. 154–165.
- Tkacheva L.A. Wave motion in an ice sheet with crack under uniformly moving load // Fluid Dyn., 2019, vol. 54, no. 1, pp. 14–32. doi: 10.1134/S0015462819010154
- Tkacheva L.A. Motion of a load on an ice cover in the presence of a current with velocity shear // Fluid Dyn., 2023, vol. 58, no. 2, pp. 263–273. doi: 10.1134/S0015462823700064
- Sturova I.V. Motion of a load over an ice sheet with non-uniform compression // Fluid Dyn., 2021, vol. 56, no. 4, pp. 503–512. doi: 10.1134/S0015462821040121
- Il’ichev A.T. Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths // Theor.&Math. Phys., 2021, vol. 208, no. 4, pp. 1182–1200. doi: 10.1134/S0040577921090026
- Bulatov V.V., Vladimirov I.Yu. Far fields at the interface between an infinitely deep ocean and ice generated by a localized source // Izv. Atmos.&Oceanic Phys., 2023, vol. 59, no. 3, pp. 296–300. doi: 10.1134/S0001433823030039
- Kozin V.M., Onishchuk A.V., Maryin B.N., Ivanov Yu.L. et al. Ice-Breaking Ability of Bending-Gravitational Waves from the Motion of Objects. Vladivostok: Dalnauka, 2005. 191 p. (in Russian)
- Sturova I.V. The motion of a submerged sphere in a liquid under an ice sheet // JAMM, 2012, vol. 76, no. 3, pp. 293–301. doi: 10.1016/j.jappmathmech.2012.07.005
- Savin A.S., Savin A.A. Three-dimensional problem of disturbing an ice cover by a dipole moving in fluid // Fluid Dyn., 2015, vol. 50, no. 5, pp. 613–620. doi: 10.1134/S0015462815050026
- Ilyichev A.T., Savin A.S. Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column // Theor.&Math. Phys., 2017, vol. 193, no. 3, pp. 1801–1810. doi: 10.1134/S0040577917120066
- Kozin V.M., Zemlyak V.L., Baburin N.O., Ipatov K.I. Experimental Studies of the Influence of Ice Conditions on the Effectiveness of the Destruction of the Ice Cover by Bending Gravity Waves from the Movement of Underwater Vessels. Novosibirsk: SB RAS Pub., 2017. 142 p. (in Russian)
- Pogorelova A.V., Zemlyak V.L., Kozin V.M. Moving of a submarine under an ice cover in fluid of finite depth // J. Hydrodyn., 2019, vol. 31(3), pp. 562–569. doi: 10.1007/s42241-018-0143-1
- Zemlyak V.L., Kozin V.M., Pogorelova A.V., Vasiliev A.S. Motion of a Submerged Body in a Near-Surface Water Environment Covered with Ice. Novosibirsk: SB RAS Pub., 2020. 126 p. (in Russian)
- Tkacheva L.A. Motion of a sphere submerged in water under an ice cover with nonuniform compression // J. Appl. Mech.&Tech. Phys., 2022, vol. 63, no. 2, pp. 187–198. doi: 10.1134/S002189442202002X
- Malenko Zh.V., Yaroshenko A.A. Bending-gravitational waves in the sea with ice cover from moving disturbances // Marine Intel. Technol., 2021, vol. 4(52), no 2, рp. 157–161. (in Russian) doi: 10.37220/MIT.2021.52.2.086
- Yaroshenko A.A., Malenko Zh.V., Markina E.V. et al. Bending-gravitational waves in the sea with ice cover from moving disturbances under conditions of uniform compression // Marine Intel. Technol., 2022, vol. 1, no. 4(58), pp. 251–257. (in Russian) doi: 10.37220/MIT.2022.58.4.050