Abstract
Based on experiments carried out: in ice basins; with large-scale models of hovercraft in the field; with full-scale hovercraft, as well as using theoretical dependencies for calculating the stress-strain state of the ice cover from the action of moving loads, the possibilities (patterns) of the resonant method of ice destruction, i.e., by excitation of resonant flexural-gravity waves (FGW), were studied. Its physical essence, the expediency of its implementation by a hovercraft are explained, the possible areas of effective use of this method are indicated. The results of the information review on the topic of the work are given, on the basis of which the purpose of the research is set. When describing the viscoelastic nature of the relationship between stresses and strains in ice, the Kelvin-Voigt law of deformation of an elastically retarded medium was used. The theoretical bending potential energy density of an infinite plate was taken as a criterion for the ice breaking capacity of FGW. In this case, the condition is used that when it reaches a certain value, complete (with the opening of cracks) destruction of ice occurs. The initial data for these calculations are taken from the performed experiments. Dependences are given that make it possible to determine the parameters of a load moving at a resonant speed (hovercraft parameters) sufficient to destroy an ice cover of a given thickness under given ice conditions.
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REFERENCES
D. O. Dutfild and D. E. Dickins, “Icebreakins trials with Bell Acгospace Voyageur ACV,” Can. Aeronaut. Space J. 20 (10), 471–474 (1974).
V. M. Kozin and V. L. Zemlyak, Physical Basis of the Destruction of the Ice Cover by the Resonance Method (IMiM FEB RAS, Komsomolsk-na-Amure, 2013) [in Russian].
G. Ya. Sedov, “Transportation of objects of great weight on ice,” Vodn. Transp., No. 3/4, 146 (1926).
B. N. Sergeev, “To the question of the magnitude of the load of river ice,” Vodn. Transp., No. 8/9, 300–301 (1926).
S. A. Bernstein, Ice Railway Crossing (Work, Theory and Calculation of the Ice Layer) (Transpechat, Moscow, 1929) [in Russian].
N. N. Kashkin, Research of the Operation of Ice Airfields under Aircraft Load (ONTI NKTP, Moscow, 1935) [in Russian].
N. N. Zubov, Construction of Roads on Ice Cover (Gidrometeoizdat, Moscow, 1946) [in Russian].
N. N. Zubov, Arctic Ice (Izd-vo Glavsevmorputi, Moscow, 1945; U.S. Navy Electronics Laboratory, San Diego, Calif., 1963).
G.R. Bregman and B. V. Proskuryakov, Ice Crossings (Gidrometeoizdat, Sverdlovsk, 1943) [in Russian].
I. S. Peschansky, Glaciology and Ice Engineering (Gidrometeoizdat, Leningrad, 1967) [in Russian].
F. Press, A. Crary, J. Oliver, and S. Katz, “Aircoupled flexural waves in floating ice,” Trans. Am. Geoph. Union 32 (2), 166–172 (1951).
A. Crary, R. Cotell, and J. Oliver, “Geophysical studies in the Beaufort Sea, 1951,” Trans. Am. Geoph. Union 33, P. 211–216 (1952).
A. Crary, “Scismic studies on fletcher,s ice icland-T-3,” Trans. Am. Geoph. Union 35 (2), 293–300 (1954). https://doi.org/10.1029/TR035i002p00293
D. L. Anderson, “Preliminary results and review of sea ice elasticity and related studies,” Trans. Eng. Inst. Can. 2 (3), 2–8 (1958).
K. Hunkins, “Seismic studies of sea ice,” J. Geophys. Res. 65 (10), 3459–3472 (1960). https://doi.org/10.1029/JZ065i010p03459
K. Hunkins, “Waves in the Arctic Ocean,” J. Geophys. Res. 67 (6), 2477–2489 (1962). https://doi.org/10.1029/JZ067i006p02477
M. Sunberg-Falkenmark, Om Isbärighet Resultat av Belastningsförsök På is, Utförda av Samarbetsgruppen för Isbärighetsförsök 1959-61. Notiser Och Preliminiira Rapporter, Serie Hydrologi 1 (Sveriges Meteorologiska och Hydrologiska Institut, Stockholm, 1963).
G. Robin and Q. De, “Wave propagation through fields of pack ice,” Phil. Trans. Roy. Soc. A. 225 (1057), 313–339 (1963). https://doi.org/10.1098/rsta.1963.0006
A. D. Sytinskiy and V. P. Tripol’nikov, “Some results of investigations of the natural vibrations of ice fields of the central Arctic,” Bull. Acad. Sci. USSR, Geophys. Ser. No. 4, 370–374 (1964).
L. Leschack and R. Haubrich, “Observations of waves on an ice-covered ocean,” J. Geophys. Res. 69 (18), 3815–3821 (1964). https://doi.org/10.1029/JZ069i018p03815
L. W. Gold, “Use of ice covers for transportation,” Can. Geotech. J. 4, 170–181 (1971). https://doi.org/10.1139/t71-018
V. N. Smirnov, “Some questions of full-scale investigation of deformations and stresses in the ice cover,” Tr. AANII 331, 133–140 (1976).
V. N. Smirnov, “Elastic bending waves in the ice sheet,” Tr. AANII 331, 117–123 (1976).
L. Gold, “Bearing capacity of ice covers,” Nat Res. Counc. Can. Techn. Mem., No. 121, 63–65 (1977). https://doi.org/10.1139/l76-028
D. Eyre, “The flexural motion of a floating ice sheet induced by moving vehicles,” J. Glaciol. 19, 555–570 (1977). https://doi.org/10.3189/S0022143000215475
D. Goodman and R. Holdsworth, “Continuous surface strain measurements on sea ice and on Erebus Glacier Tongue, McMurdo Sound, Antarctica,” Antarctic J. US 13, 67–70 (1978).
T. Takizawa, “Field studies on response of a floating sea ice sheet to a steadily moving load,” Contrib. Inst. Low Temp. Sci. 36, 31–76 (1978).
S. Beltaos, “Field studies on the response of floating ice sheets to moving loads,” Can. J. Civil Eng. 8, 1–8 (1981). https://doi.org/10.1139/l81-001
T. Takizawa, “Deflection of a floating sea ice sheet induced by a moving load,” Cold Regions Sci. Techn. 11, 171–180 (1985).
T. Takizawa, “Field studies on response of a floating sea ice sheet to a steadily moving load,” Contrib. Inst. Low Temp. Sci. 36, 31–76 (1987).
T. Takizawa, “Response of a floating sea ice sheet to a steadily moving load,” J. Geophys. Res. 93, 5100–5112 (1988). https://doi.org/10.1029/JC093iC05p05100
V. A. Squire, W. H. Robinson, T. G. Haskell, and S. C. Moore, “Dynamic strain response of lake and sea ice to moving loads,” Cold Reg. Sci. Technol. 11, 123–139 (1985). https://doi.org/10.1016/0165-232X(85)90012-6
V. A. Squire, P. J. Langhorne, W. H. Robinson, and A. J. Heine, 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 (RSL, London, 1986).
V. A. Squire, W. H. Robinson, P. J. Langhorne, and T. G. Haskell, “Vehicles and aircraft on floating ice,” Nature 333, 159–161 (1988).
V. Squire, R. Hosking, A. Kerr, and P. Langhorne, Moving Loads on Ice Plates (Kluver Academic Publishers, Dordrecht, 1996), pp. 86–94.
V. M. Kozin, V. D. Zhestkaya, A. V. Pogorelova, et al., Applied Problems of Ice Cover Dynamics (Akad. Estestvoznaniya, Moscow, 2008) [in Russian].
Cg. Greenhild, “Scattering on the thin ice,” The Lond. Ebinb. Dubl. Phil. Mag. J. Sci. 31 (181) (1916). https://doi.org/10.1080/14786440108635465
S. S. Golushkevich, On Some Problems in the Theory of Ice Bending (Voenizdat, Leningrad, 1947) [in Russian].
F. Press and M. Ewing, “Propagation of elastic waves in a floating ice sheet,” Trans. Am. Geoph. Uni. 32 (5), 673–678 (1951).
A. Crary, R. Cotell, and J. Oliver, “Geophysical studies in the Beaufort Sea, 1951,” Trans. Am. Geoph. Uni. 33, 211–216 (1952). https://doi.org/10.1029/TR033i002p00211
D. E. Kheisin, Ice Cover Dynamics (Gidrometeoizdat, Leningrad, 1967) [in Russian].
L. V. Cherkesov, “On the effect of ice cover and fluid viscosity on long waves,” Morsk. Gidrofiz. Issl., No. 3 (49), 50–56 (1970).
D. H. Jen and S. C. Tang, “On the vibration of an elastic plate on an elastic foundation,” J. Sound Vib. 14 (1), 81–89 (1971). https://doi.org/10.1121/1.2144176
S. F. Dotsenko, “On the influence of heterogeneity of liquid and ice cover on waves generated by a moving region of pressures,” Morsk. Gidrofiz. Issl., No 4 (67). C. 82–89 (1974).
V.V. Bogorodsky and V.P. Gavrilo, Ice. Physical Properties. Modern Methods of Glaciology (Gidrometeoizdat, Leningrad, 1980) [in Russian].
A.V. Marchenko, “Bending-gravitational waves,” in Waves Dynamics on the Liquid Surface (Nauka, Moscow, 1999), pp. 65–111.
V. D. Zhestkaya and V. M. Kozin, Ice Breaking by Air-Cushion Vessels Using a Resonant Method (Dal’nauka, Vladivostok, 2003) [in Russian].
L. A. Tkacheva, “Surface wave diffraction on a floating elastic plate,” Fluid Dyn. 36, 776–789 (2001). https://doi.org/10.1023/A:1013077003346
L. A. Tkacheva, “Plane problem of surface wave diffraction on a floating elastic plate,” Fluid Dyn. 38, 465–481 (2003). https://doi.org/10.1023/A:1025106408548
L. A. Tkacheva, “Vibrations of a floating elastic plate due to periodic displacements of a bottom segment,” J. Appl. Mech. Tech. Phys. 46, 754–765 (2005). https://doi.org/10.1007/s10808-005-0132-3
F. Milinazzo, M. Shinbrot, and N.W. Evans, “A mathematical analysis of the steady response of floating ice to the uniform motion of a rectangular load,” J. Fluid Mech. 287, 287–295 (1995). https://doi.org/10.1017/S0022112095000917
K. Wang, R. Hosking, and F. Milinazzo, “Time-dependent response of a floating viscoelastic plate to an impulsively started moving load,” J. Fluid Mech. 521, 295–317 (2004). https://doi.org/10.1017/S002211200400179X
V. M. Kozin, V. D. Zhestkaya, A. V. Pogorelova, et al., Applied Problems of Ice Cover Dynamics (Akad. Estestvoznaniya, Moscow, 2008) [in Russian].
A. A. Korobkin, T. I. Khabakhpasheva, and A. A. Papin, Mathematical Models Of Snow-Ice Cover (AltGU, Barnaul, 2013) [in Russian].
A. Korobkin, T. Khabakhpasheva, and A. Papin, “Waves propagating along a channel with ice cover,” Eur. J. Mech. B/Fluids 47, 166–175 (2014). https://doi.org/10.1016/j.euromechflu.2014.01.007
A. V. Pogorelova, V. M. Kozin, and A. A. Matyushina, “Stress-strain state of ice cover during aircraft takeoff and landing,” J. Appl. Mech. Tech. Phy. 56, 920–926 (2015). https://doi.org/10.1134/S002189441505020X
E. A. Batyaev and T. I. Khabakhpasheva, “Hydroelastic waves in a channel covered with a free ice sheet,” Fluid Dyn. 50 (6), 775–788 (2015). https://doi.org/10.1134/S0015462815060071
K. A. Shishmarev, T. I. Khabahpasheva, and A. A. Korobkin, “Influence of hydrostatic and hydrodynamic pressures on ice sheet fluctuations,” in Proc. of All-Russian Scientific and Practical Conference “Mathematics-Altai Territory” (Altai Gos. Univ., Barnaul, 2015), pp. 87–91.
I. Sturova and L. Tkacheva, “Oscillations of restricted ice cover under local dynamic action,” Polyarn. Mekh., No. 3. C. 997–1007 (2016).
L. A. Tkacheva, “Interaction of surface and flexural-gravity waves in ice cover with a vertical wall,” J. Appl. Mech. Tech. Phy. 54, 651–661 (2013). https://doi.org/10.1134/S0021894413040160
L. A. Tkacheva, “Behavior of a Semi-Infinite Ice Cover Under a Uniformly Moving Load,” J. Appl. Mech. Tech. Phy. 59, 258–272 (2018). https://doi.org/10.1134/S0021894418020098
L. A. Tkacheva, “Wave pattern due to a load moving on the free surface of a fluid along the edge of an ice sheet,” J. Appl. Mech. Tech. Phy. 60, 462–472 (2019). https://doi.org/10.1134/S0021894419030088
I. V. Sturova, “Action of periodic surface pressure on an ice cover in the vicinity of a vertical wall,” J. Appl. Mech. Tech. Phy. 58, 80–88 (2017). https://doi.org/10.1134/S0021894417010096
I. V. Sturova, “Motion of an external load over a semi-infinite ice sheet in the subcritical regime,” Fluid Dyn. 53, 49–58 (2018). https://doi.org/10.1134/S0015462818010135
A. E. Bukatov, Waves in the Sea with a Floating Ice Cover (MGI, Sevastopol, 2017) [in Russian].
K. N. Zavialova, K. A. Shishmarev, and T. I. Khabakhpasheva, “Moving load in a channel covered with broken ice,” Izv. Altai Gos. Univ., No. 4(102), 73–78 (2018). https://doi.org/10.14258/izvasu(2018)4-13
K. A. Shishmarev and T. I. Khabakhpasheva, “Unsteady deflection of ice cover in a frozen channel under a moving load,” Vych. Technol. 24 (2), 111–128 (2019). https://doi.org/10.25743/ICT.2019.24.2.010
T. Khabakhpasheva, K. Shishmarev, and A. Korobkin, “Large-time response of ice cover to a load moving along a frozen channel,” Appl. Ocean Res. 86, 154–165 (2019). https://doi.org/10.1016/j.apor.2019.01.020
V. L. Zemlyak, N. O. Baurin, and D. A. Kurbatskiy, “Laboratory Ice technology,” Vestn. Priamur. Gos. Univ. im. Sholom-Aleykhema, No. 1(12), 68-77 (2013).
S. P. Timoshenko and S. Voinovskii-Kriger, Theory of Plates and Shells (McGraw-Hill, New York, 1959; Fizmatlit, Moscow, 1963).
I. G. Petrov, “The choice of the most probable values of the mechanical characteristics of ice,” Tr. AANII 331, 4–41 (1976).
I. P. Butyagin, Strength of Ice and Ice Cover (Nauka, Novosibirsk, 1966) [in Russian].
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The work was carried out within the framework of the state task of the Institute of Mechanical Engineering and Metallurgy of the Khabarovsk Federal Research Center, Far Eastern Branch of the Russian Academy of Sciences.
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Translated by I. Katuev
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Kozin, V.M. Results of Experimental and Theoretical Studies of the Possibilities of the Resonance Method of Ice Cover Destruction. Mech. Solids 58, 671–684 (2023). https://doi.org/10.3103/S0025654423600101
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DOI: https://doi.org/10.3103/S0025654423600101