Abstract
The impingement of small-amplitude surface waves on the edge of a solid compressed ice sheet in a basin of finite constant depth is considered. The influence of the cylindrical rigidity and the value of the compressing force on the dependence of the amplitude coefficients of reflection and transmission on the incident wave period is analyzed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. E. Kheisin,Ice Sheet Dynamics [in Russian], Gidrometeoizdat, Leningrad (1967).
A. E. Bukatov and L. V. Cherkesov, “Effect of ice cover on wave motions,” in:Marine Hydrophysical Research, No. 2 (52) [in Russian], Marine Hydrophysical Institute of Acad. Sci. Ukr.SSR, Sevastopol (1971), p. 113.
V. N. Krasil'nikov, “Scattering of flexible waves by inhomogeneities of an elastic plate,”Akust. Zh.,2, No. 8, 183 (1962).
L. I. Slepyan and V. M. Fadeev, “Reflection, refraction and radiation of waves in a piecewise-homogeneous elastic system interacting with a liquid,”Dokl. Akad. Nauk SSSR,229, 325 (1988).
V. F. Vityuk, “Surface wave diffraction at a dock of finite width,”Prikl. Mat. Mekh.,34, 32 (1970).
M. Weitz and J. B. Keller, “Reflection of water waves from floating ice in water of finite depth,”Comm. Pure and Appl. Math.,3, 305 (1950).
R. V. Gol'dshtein and A. V. Marchenko, “Diffraction of plane gravity waves at the edge of an ice sheet,”Prikl. Mat. Mekh.,53, 924 (1989).
C. Fox and V. A. Squire, “Reflection and transmission characteristics at the edge of shore fast sea ice,”J. Geophys. Res.,95, No. C7, 11629 (1990).
A. V. Marchenko and I. V. Prokhorov, “Linear waves in a constant-vorticity fluid flow beneath an ice sheet,”Prikl. Mat. Mekh.,55, 242 (1991).
A. V. Marchenko, “Surface wave diffraction at a crack in sheet ice,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 93 (1993).
V. N. Krasil'nikov, “Effect of a thin elastic layer on sound propagation in a liquid half-space,”Akust. Zh.,6, 220 (1960).
G. Ortega,Introduction to Parallel and Vector Methods of Solving Linear Systems [Russian translation], Mir, Moscow (1991).
L. Heigeman and D. Yang,Applied Iteration Methods [Russian translation], Mir, Moscow (1986).
V. N. Smirnov and E. M. Lin'kov, “Seismic and tiltmeter methods of investigating of an ice sheet,”Proc. Arctic and Antarctic Institute,326, 137 (1975).
A. E. Bukatov, “Effect of longitudinal compression on unsteady vibrations of an elastic plate floating on the surface of a liquid,”Prikl. Mekh.,17, 93 (1981).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 121–126, May–June, 1995.
Rights and permissions
About this article
Cite this article
Bukatov, A.E., Zav'yalov, D.D. Impingement of surface waves on the edge of compressed ice. Fluid Dyn 30, 435–440 (1995). https://doi.org/10.1007/BF02282456
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02282456