The effect of compressive forces on the amplitudes of bending-gravitational waves generated by moving perturbations

Authors

  • Malenko Z.V. Branch of "Admiral F. F. Ushakov State Maritime University" in Sevastopol, Sevastopol, Russian Federation
  • Yaroshenko A.A. Sevastopol State University, Sevastopol, Russian Federation

UDC

539.3:532.5

DOI:

https://doi.org/10.31429/vestnik-19-2-29-38

Abstract

The work is devoted to the study of wave processes occurring in a floating ice plate when a load moves along it. The influence of the load displacement velocity and compressive forces on the amplitudes of the generated bending-gravitational waves is investigated. The ice cover is modeled by a thin elastic plate floating on the surface of an ideal liquid of finite depth. The problem is reduced to solving the Laplace equation with boundary conditions. The boundary condition on the surface is the equation of vibrations of the ice plate taking into account the hydrodynamic pressures on the lower surface of the ice. Surface waves in a solid ice sheet are a combination of a bending wave in an ice plate and a gravitational wave in water.

When the load moves through the ice cover, from one to three wave systems are formed. Elastic waves are caused by the presence of ice cover. It is shown that as the compressive force increases, the amplitude of elastic waves increases. The other two waves have the character of transverse and longitudinal ship waves propagating behind the source. The increase in compressive forces and the thickness of the ice cover does not significantly affect the amplitudes of these waves.

Keywords:

bending-gravitational waves, elastic plate, ice cover, moving perturbations, critical speed, compressive force

Acknowledgement

The study did not have sponsorship.

Author Infos

Zhanna V. Malenko

Senior Lecturer of the Department of Fundamental Disciplines, Branch of FSFEI HE «Admiral Ushakov Maritime State University» in Sevastopol

e-mail: zhvla17@mail.ru

Aleksandr A. Yaroshenko

д-р физ.-мат. наук, профессор, заведующий кафедрой фундаментальных дисциплин Филиала "Государственный морской университет имени адмирала Ф.Ф. Ушакова" в г. Севастополь, профессор кафедры "Высшая математика" Севастопольского государственного университета

e-mail: yaroshenko.575@yandex.ru

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Issue

2022. Vol. 19. No. 2

Section

Mechanics

Pages

29-38

Submitted

2022-06-02

Published

2022-06-30

How to Cite

Malenko Z.V., Yaroshenko A.A. The effect of compressive forces on the amplitudes of bending-gravitational waves generated by moving perturbations. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2022, vol. 19, no. 2, pp. 29-38. DOI: https://doi.org/10.31429/vestnik-19-2-29-38 (In Russian)

Copyright (c) 2022 Malenko Z.V., Yaroshenko A.A.

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