The Motion of Elliptic Cylinder under Ice Cover
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 4, pp. 76-81 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The nonlinear problem on unsteady hydro-elastic waves generated by submerged elliptical cylinder moving under floating ice sheet is considered. Our analysis uses reduction of basic equations to an equivalent boundary integral-differential system. Small-time asymptotic solution is constructed in the case when the cylinder starts with constant acceleration from the rest.
Keywords: ice cover, elliptic cylinder, unsteady hydro-elastic waves.
@article{VNGU_2012_12_4_a10,
     author = {A. A. Korobkin and V. K. Kostikov and N. I. Makarenko},
     title = {The {Motion} of {Elliptic} {Cylinder} under {Ice} {Cover}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {76--81},
     year = {2012},
     volume = {12},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2012_12_4_a10/}
}
TY  - JOUR
AU  - A. A. Korobkin
AU  - V. K. Kostikov
AU  - N. I. Makarenko
TI  - The Motion of Elliptic Cylinder under Ice Cover
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2012
SP  - 76
EP  - 81
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VNGU_2012_12_4_a10/
LA  - ru
ID  - VNGU_2012_12_4_a10
ER  - 
%0 Journal Article
%A A. A. Korobkin
%A V. K. Kostikov
%A N. I. Makarenko
%T The Motion of Elliptic Cylinder under Ice Cover
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2012
%P 76-81
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/VNGU_2012_12_4_a10/
%G ru
%F VNGU_2012_12_4_a10
A. A. Korobkin; V. K. Kostikov; N. I. Makarenko. The Motion of Elliptic Cylinder under Ice Cover. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 4, pp. 76-81. http://geodesic.mathdoc.fr/item/VNGU_2012_12_4_a10/

[1] Kheisin D. E., Dinamika ledyanogo pokrova, Gidrometeoizdat, L., 1967

[2] Squire V. A., Hosking R. J., Kerr A. D., Langhorne P. J., Moving Loads on Ice Plates, Kluwer Academic Publishers, Dordrecht, 1996

[3] Kozin V. M., Zhestkaya V. D., Pogorelova A. V. i dr., Prikladnye zadachi dinamiki ledyanogo pokrova, Akademiya estestvoznaniya, M., 2008

[4] Makarenko N. I., “Nonlinear Interaction of Submerged Cylinder with Free Surface”, JOMAE Transactions of the ASME, 125:1 (2003), 72–75 | MR

[5] Makarenko N. I., “Nonlinear Water Waves in the Presence of Submerged Elliptic Cylinder”, Paper OMAE-51413, Proc. $23^\text{rd}$ Int. Conf. on Offshore Mech. and Arctic Engineering OMAE'04 (2004, Vancouver, Canada)

[6] Tyvand P. A., Miloh T., “Free-Surface Flow due to Impulsive Motion of a Small Submerged Circular Cylinder”, J. Fluid Mech., 286 (1995), 67–101 | DOI | MR | Zbl

[7] Tyvand P. A., Miloh T., “Free-Surface Flow Generated by a Small Submerged Circular Cylinder Starting from the Rest”, J. Fluid Mech., 286 (1995), 103–116 | DOI | MR | Zbl