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Behavior of a semi-infinite ice cover under periodic dynamic impact

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Abstract

Oscillations of a semi-infinite ice cover in an ideal incompressible liquid of finite depth under local time-periodic axisymmetric load are considered. The ice cover is simulated by a thin elastic plate of constant thickness. An analytical solution of the problem is obtained using the Wiener–Hopf method. The asymptotic behavior of the amplitudes of oscillations of the plate and the liquid in the far field is studied. It is shown that the propagation of waves in the far field is uneven: in some directions, the waves propagate with a significantly greater amplitude.

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Authors and Affiliations

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

    L. A. Tkacheva

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  1. L. A. Tkacheva
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Correspondence to L. A. Tkacheva.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 58, No. 4, pp. 82–94, July–August, 2017.

Original Russian Text © L.A. Tkacheva.

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Tkacheva, L.A. Behavior of a semi-infinite ice cover under periodic dynamic impact. J Appl Mech Tech Phy 58, 641–651 (2017). https://doi.org/10.1134/S0021894417040083

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  • DOI: https://doi.org/10.1134/S0021894417040083

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