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Unsteady gravity-elastic and gravity-capillary ship waves

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Abstract

The development of three-dimensional waves generated by a region of pressures moving uniformly and rectilinearly over the surface of a thin elastic isotropic plate covering an ideal fluid layer of finite depth is investigated. The pressures act starting at a certain instant. A qualitative similarity between the waves occurring and gravity-capillary waves is noted. The calculations are made for an ice cover. This model problem permits examining a number of properties of the oscillations of the ice cover occurring when hauling freight over ice roads, landing and takeoff of aircraft from ice fields, etc. [1]. The development of ship waves in a fluid of finite depth in the absence of a floating plate was investigated in [2, 3] and gravity-capillary waves were studied in [4–6]. Certain properties of steady three-dimensional waves occurring during movement of a load over the surface of a floating elastic plate were established in [1].

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Literature cited

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  9. D. E. Kheisin, “Some nonstationary problems of ice cover dynamics,” Tr. Arkt. Antarkt. NII,300 (1971).

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Authors and Affiliations

  1. Sevastopol

    S. F. Dotsenko

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  1. S. F. Dotsenko
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 26–32, September–October, 1978.

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Dotsenko, S.F. Unsteady gravity-elastic and gravity-capillary ship waves. Fluid Dyn 13, 658–663 (1978). https://doi.org/10.1007/BF01050226

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  • DOI: https://doi.org/10.1007/BF01050226

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