Abstract
This paper studies the three-dimensional unsteady problem of the hydroelastic behavior of a floating infinite plate under the impact of waves generated by horizontal rectilinear motion of a slender solid in a fluid of infinite depth. An analytic solution of the problem is found based on the known solutions for the unsteady motion of a point source of mass in a fluid of infinite depth under a floating plate. Asymptotic formulas are obtained which model the motion of a solid slender body in a fluid by replacing the body with a source-sink system. These formulas are used to numerically analyze the effect of plate thickness, depth of the body, its dimensions and the velocity of rectilinear motion on the amplitude of deflection of the floating plate. The motion of a submarine under a nonbreakable plate was modeled experimentally. Theoretical and experimental data are in good agreement.
Similar content being viewed by others
References
V. A. Squire, “Synergies between VLFS Hydroelasticity and Sea Ice Research,” Int. J. Offshore Polar Eng. 18(4), 241–253 (2008).
V. A. Squire, R. J. Hosking, A. D. Kerr, and P. J. Langhorne, Moving Loads on Ice Plates (Kluwer Acad. Publ., Dordrecht, 1996).
D. E. Kheisin, Dynamics of Ice Cover (Gidrometeoizdat, Leningrad, 1967; Technical translation FSTC-HT-23-485-69, U.S. Army Foreign Sci. and Technol. Center, 1969).
V. M. Kozin and A. V. Onischuk, “Model Investigations of Wave Formation in Solid Ice Cover from the Motion of a Submarine,” Prikl. Mekh. Tekh. Fiz. 35(2), 78–81 (1994) [J. Appl. Mech. Tech Phys. 35 (2), 235–238 (1994)].
A. E. Bukatov and V. V. Zharkov, “Effect of a Floating Plate on the Surface Manifestations of Internal Waves during Motion of the Source in an Inhomogeneous Fluid,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 118–125 (1995).
V. M. Kozin and A. V. Pogorelova, “Submarine Moving Close to the Ice-surface Conditions,” Int. J. Offshore Polar Eng. 18,(4), 271–276 (2008).
V. E. Il’in and A. I. Kolesnikov, Russian Submarines: Illustrated Handbook (Astrel, Moscow, 2001).
V. E. Kochin, I. A. Kibel’, and N. V. Roze, Theoretical Hydromechanics (Fizmatgiz, Moscow, 1963), Vol. 1.
I. V. Sturova, “Wave Motions Produced in a Stratified Liquid from Flow Past a Submerged Body,” Prikl. Mekh. Tekh. Fiz., No. 6, 80–91 (1974) [J. Appl. Mech. Tech. Phys., No. 6, 796–805 (1974)].
A. V. Pogorelova, “Unsteady Motion of a Source in a Fluid under a Floating Plate,” Prikl. Mekh. Tekh. Fiz. 52(5), 49–59 (2011) [J. Appl. Mech. Tech. Phys. 52 (5), 717–726 (2011)].
V. M. Kozin, “Modeling of Flexural-Gravity Waves in a Solid Ice Cover,” in Theory and the Strength of an Icebreaking Ship, (Bitter Polytech. Inst., Bitter, 1982), No. 3, pp. 35–38.
V. M. Kozin, A. V. Onishchuk, B. N. Mar’in, et al., The Ice-Breaking Capacity of Flexural-Gravity Waves Produced by Motion of Objects (Dal’nauka, Vladivostok, 2005) [in Russian].
C. Farell, “On the Wave Resistance of a Submerged Spheroid,” J. Ship Res. 17(1), 1–11 (1973).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Pogorelova, V.M. Kozin, V.L. Zemlyak.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 53, No. 1, pp. 32–44, January–February, 2012.
Rights and permissions
About this article
Cite this article
Pogorelova, A.V., Kozin, V.M. & Zemlyak, V.L. Motion of a slender body in a fluid under a floating plate. J Appl Mech Tech Phy 53, 27–37 (2012). https://doi.org/10.1134/S002189441201004X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S002189441201004X