Modeling of flexural-gravity waves in ice cover on elastic films

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Abstract

It is noted that, based on observations of fluctuations of the ice cover in natural conditions under the influence of moving loads, i. e., when excitation of flexural gravity waves (FGW), the latter behaves similarly to an elastic isotropic plate. On this basis, a new direction has been proposed in modeling some problems of deformation of the FGW ice cover on elastic films in conventional experimental basins. The possibility of this technology is confirmed by the results of comparing records of deformation by moving loads of an elastic model layer and a natural ice cover. Based on the theory of similarity and dimensions, dependencies were obtained for converting model test data to full scale. It is noted that the costs of conducting such model experiments are disproportionately less than the costs of conducting experiments in ice basins. Ice engineering problems are listed, in solving which the developed FGW modeling technique can be used.

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About the authors

V. M. Kozin

Institute of Mechanical Engineering and Metallurgy of the Far East Branch of the Russian Academy of Sciences

Author for correspondence.
Email: kozinvictor@rambler.ru
Russian Federation, Komsomolsk-na-Amure

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Supplementary files

Supplementary Files
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2. Fig. 1. The ice pool on the lake ice. Horpi in the area of Komsomolsk-on-Amur [6].

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3. Fig. 2. Experiments on the destruction of the ice sheet with a separation from the movement of a model of an underwater vessel with a resonant velocity [5].

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4. Fig. 3. Preparation of model ice in an ice pool.

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5. Fig. 4. Preparation of a composite ice model.

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6. Fig. 5. A fragment of the destruction of a solid ice sheet when the model of an underwater vessel moves at a speed of Fr = 0.42 [7].

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7. Fig. 6. Examples of the use of the resonant method of destruction of the ice cover of the SVP: (a) Voyager; (b) Larus; (c) BHT; (d) Canadian vessels; (e) – “Stingray"; (f) – “Moray eel".

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8. Fig. 7. General view of the model of a continuous ice sheet made of elastic polymer material [4].

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9. Fig. 8. (a) – a general view of the model used; (b) – the moment of “diving” the model of an underwater vessel under the edge of the model ice.

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10. Fig. 9. IGV profiles from the movement of loads: (a) – data from field experiments [41]; (b) – model data on work [6]; (c) – model data on work [3].

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11. Fig. 10. Load cell readings for different speeds (m/s) of load movement: (a) – 4.5; (b) – 8.9; (c) – 13.8; (d) – 15.7; (e) – 17.5; (f) – 18.4; (g) – 20.8; (h) – 23.2; (i) – 25.8; (j) – 27.0 [50].

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12. Fig. 11. Technical support for model experiments: (a) – general view of the model of indestructible ice; (b) – contactless linear displacement converter; (c) – typical recording of sensor readings (d) – model of an underwater vessel [5].

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13. Fig. 12. General view of the moving load and deformations of the model field [40].

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14. Fig. 13. Comparison of the curves of relative deformations of full-scale ice (---) and the model layer (____) during the movement of a concentrated load at different relative velocities.

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