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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2018 Volume 59, Issue 2, Pages 82–98 (Mi pmtf598)

This article is cited in 12 papers

Behavior of a semi-infinite ice cover under a uniformly moving load

L. A. Tkacheva

Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: This paper considered the behavior of a semi-infinite ice cover on the surface of an ideal incompressible fluid of finite depth under the action of a load moving at a constant velocity along the edge of the cover at some distance from it. The ice cover is simulated by a thin elastic plate of constant thickness. In a moving coordinate system, the deflection of the plate is assumed to be steady. An analytic solution of the problem is constructed using the Wiener–Hopf technique. The wave forces, the deflection of the plate, and the elevation of the free surface of the fluid at different speeds of the load are considered.

Keywords: surface waves, flexural-gravity waves, floating elastic plate, dispersion relations, moving load, Fourier transform, Wiener–Hopf technique.

UDC: 532.59+539.3:534.1

Received: 10.04.2017
Revised: 27.04.2017

DOI: 10.15372/PMTF20180109


 English version:
Journal of Applied Mechanics and Technical Physics, 2018, 59:2, 258–272

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