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

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 o...

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Bibliographic Details
Published in:Journal of fluid mechanics 1988-01, Vol.186, p.25-46
Main Authors: Schulkes, R. M. S. M., Sneyd, A. D.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Freshwater
Fundamental areas of phenomenology (including applications)
Marine
Nonhomogeneous flows
Physics
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Summary: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112088000023