The effect of compressive forces on the development of bending-gravitational waves generated by moving perturbations
UDC
539.3:532.5DOI:
https://doi.org/10.31429/vestnik-19-3-55-62Abstract
In winter, the ice cover on rivers and lakes is used to deliver various kinds of cargo through it. Therefore, it is important to know the behavior of the ice sheet depending on the speed of movement of the load and other characteristics of the ice. The influence of uniform compression and the velocity of load displacement on unsteady three-dimensional vibrations of an ice sheet floating on the surface of a homogeneous liquid is investigated. The ice cover is modeled by a thin elastic isotropic plate. It is shown that there are three values of critical velocities at which the nature of the wave disturbance changes. In this case, from two to three systems of bending-gravitational waves are formed. These waves propagate both ahead of the source of disturbances and behind it. The influence of compressive forces on the values of critical velocities is studied. It is shown that compressive forces have the greatest effect on the propagation velocity of elastic waves, and the least on the propagation velocity of transverse and longitudinal waves propagating behind the source. The velocity of propagation of elastic waves increases with increasing compressive forces. With an increase in the speed of movement of the source of disturbances and compression forces, the area covered by waves increases. For large values of compressive forces, an angular zone is formed behind the source, in which waves overlap. This zone decreases with an increase in the speed of movement of the load.
Keywords:
compressive forces, bending-gravitational waves, elastic plate, ice cover, critical speedReferences
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Copyright (c) 2022 Yaroshenko A.A., Malenko Z.V., Markina E.V., Kostyukova L.О., Babikov I.I.
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