Abstract
The linear plane problem of oscillations of an elliptic cylinder in an ideal incompressible fluid of finite depth in the presence of an ice cover of finite length is solved. The ice cover is modeled by an elastic plate of constant thickness. The hydrodynamic loads acting on the body are determined as functions of the oscillation frequency and the positions of the cylinder and plate.
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References
C. M. Linton and P. McIver, Handbook of Mathematical Technics for Wave/Structure Interactions (Chapman and Hall–CRC Press, London–Boca Raton, 2001).
I. V. Sturova, “Hydrodynamic Loads Acting on an Oscillating Cylinder Submerged in a Stratified Fluid with Ice Cover,” J. Appl. Mech. Tech. Phys. 52 (3), 102–115 (2011) [Prikl. Mekh. Tekh. Fiz. 52 (3), 415–426 (2011)].
D. Das and B. N. Mandal, “Water Wave Radiation by a Sphere Submerged in Water with an Ice-Cover,” Arch. Appl. Mech. 78 (8), 649–661 (2008).
D. Das and B. N. Mandal, “Water Wave Radiation by a Sphere Submerged in a Two-Layer Ocean with an Ice-Cover,” Appl. Ocean Res. 32 (3), 358–366 (2010).
S. Mohapatra and S. N. Bora, “Radiation of Water Wave by a Sphere in an Ice-Covered Two-Layer Fluid of Finite Depth,” J. Adv. Res. Appl. Math. 2 (1), 46–63 (2010).
I. V. Sturova, “Unsteady Three-Dimensional Sources in Deep Water with an Elastic Cover and Their Applications,” J. Fluid Mech. 730, 392–418 (2013).
I. V. Sturova, “Vibrations of a Circular Cylinder Submerged in Fluid with a Non-Homogeneous Boundary,” J. Appl. Mech. Tech. Phys. 55 (3), 26–36 (2014) [Prikl. Mekh. Tekh. Fiz. 55 (3), 394–403 (2014)].
I. V. Sturova, “Wave Generation by an Oscillating Submerged Cylinder in the Presence of a Floating Semi- Infinite Elastic Plate,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 49 (4), 98–108 (2014) [Fluid Dyn. 49 (4) 504–514 (2014)].
B. Noble, Methods Based on the Wiener–Hopf Technique for the Solution of Partial Differential Equations (Pergamon Press, London–New York–Paris, 1958).
L. A. Tkacheva, “Impact of a Periodic Load on a Floating Elastic Plate,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 40 (2), 132–146 (2005) [Fluid Dyn. 40 (2) 282–296 (2005)].
T. D. Williams and M. H. Meylan, “The Wiener–Hopf and Residue Calculas Solutions for a Submerged Semi-Infinite Elastic Plate,” J. Eng. Math. 75 (1), 81–106 (2012).
L. A. Tkacheva, “Two-Dimensional Problem of Diffraction of Surface Waves on a Floating Elastic Plate,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 38 (3), 131–149 (2003) [Fluid Dyn. 38 (3) 465–481 (2003)].
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Original Russian Text © L.A. Tkacheva.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 56, No. 6, pp. 173–186, November–December, 2015.
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Tkacheva, L.A. Oscillations of a cylindrical body submerged in a fluid with ice cover. J Appl Mech Tech Phy 56, 1084–1095 (2015). https://doi.org/10.1134/S002189441506019X
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DOI: https://doi.org/10.1134/S002189441506019X