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Time-dependent response of floating ice to a steadily moving load

Published online by Cambridge University Press:  21 April 2006

R. M. S. M. Schulkes  and
A. D. Sneyd
R. M. S. M. Schulkes
Affiliation:
University of Waikato, Hamilton, New Zealand
A. D. Sneyd
Affiliation:
University of Waikato, Hamilton, New Zealand
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Abstract

When a steadily moving load is applied to a floating ice plate, the disturbance will generally approach a steady state (relative to the load) as time t → ∞. However, for certain ‘critical’ load speeds the disturbance may grow continuously with time, which represents some danger to vehicles driving on ice. To understand this phenomenon and the overall time development of the ice response, this paper analyses the problem of an impulsively applied, concentrated line load on a perfectly elastic homogeneous floating ice plate. An exact expression for the ice deflection is derived, and then interpreted by means of asymptotic expansions for large t in the vicinity of the source. The spatial development of the disturbance is analysed by considering asymptotic expansions as t → ∞ near an observer moving away from the load. Theoretical results are compared with field measurements, and some hitherto unexplained features can be understood.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 186 , January 1988 , pp. 25 - 46
Copyright
© 1988 Cambridge University Press

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References

Bates, H. F. & Shapiro, L. H. 1981 Stress amplification under a moving load on floating ice. J. Geophys. Res. 86, 6638.Google Scholar
Beltaos, S. 1980 Field studies on the response of floating ice sheets to moving loads. Can. J. Civ. Engng 8, 1.Google Scholar
Davys, J. W., Hosking, R. J. & Sneyd, A. D. 1985 Waves due to a steadily moving source on a floating ice plate. J. Fluid Mech. 158, 269.Google Scholar
Eyre, D. 1977 The flexural motions of a floating ice sheet induced by moving vehicles. J. Glacial. 19, 555.Google Scholar
Greenhill, A. G. 1887 Wave motion in hydrodynamics. Am. J. Maths 9, 62.Google Scholar
Kenney, J. T. 1954 Steady-state vibrations of beams on elastic foundations for moving loads. Trans. ASME E: J. Appl. Mech. 21, 359.Google Scholar
Kerr, A. D. 1981 Continuously supported beams and plates subjected to moving loads – a survey. Solid Mech. Arch. 6, 401.Google Scholar
Kerr, A. D. 1983 The critical velocities of a load moving on a floating ice plate that is subjected to inplane forces. Cold Regions Sci. Tech. 6, 267.Google Scholar
Kheisin, D. Ye. 1963 Moving load on an elastic plate which floats on the surface of an ideal fluid (in Russian). Izv. AN SSSR, OTN, Mekh. i Mashinostroenie, 178.Google Scholar
Kheisin, D. Ye. 1971 Some non-stationary problems of dynamics of the ice cover. In Studies in Ice Physics and Ice Engineering (ed Lakolev). Israel Program for Scientific Translations.
Lighthill, M. J. 1978 Waves in Fluids. Cambridge University Press.
Nevel, D. E. 1970 Moving loads on a floating ice sheet. US Army CRREL Res. Rep. 261.
Schulkes, R. M. S. M. 1986 Waves in floating ice plates due to a steadily-moving load. M.Sc. thesis, University of Waikato.
Squire, V. A., Langhorne, P. J., Robinson, W. H. & Heine, A. J. 1986 KIWI 131. An Antarctic field experiment to study strains and acoustic emission generated by loads moving over sea ice. Report prepared for The Royal Society of London.
Squire, V. A., Robinson, W. H., Haskell, T. G. & Moore, S. C. 1985 Dynamic strain response of lake and sea ice to moving loads. Cold Regions Sci. Tech. 11, 123.Google Scholar
Takizawa, T. 1985 Deflection of a floating sea ice sheet induced by a moving load. Cold Regions Sci. Tech. 11, 171.Google Scholar
Wilson, J. T. 1958 Moving loads on floating ice sheets. University of Michigan Research Rep. UMRI Project 2432.