S. K. Bhattacharyya, C. P. Vendhan, and K. Sudarsan, THE FINITE ELEMENT METHOD FOR HYDROELASTIC INSTABILITY OF UNDERWATER TOWED CYLINDRICAL STRUCTURES, Journal of Sound and Vibration, vol.237, issue.1, pp.119-143, 2000.
DOI : 10.1006/jsvi.2000.3023

O. Doaré and E. De-langre, The flow-induced instability of long hanging pipes, European Journal of Mechanics - A/Solids, vol.21, issue.5, pp.857-867, 2002.
DOI : 10.1016/S0997-7538(02)01221-4

E. Doedel and J. Kernéves, AUTO: Software for continuation problems in ordinary differential equations with applications. Tech. Rep. California Institute of Technology, 1986.

D. O-n-e and G. T. , &S i m p s o n ,A .1977 Dynamic stabilty of certain conservative and non-conservative systems, IMechE J. Engng Sci, vol.19, pp.251-263

A. P. Dowling, The dynamics of towed flexible cylinders Part 1. Neutrally buoyant elements, Journal of Fluid Mechanics, vol.100, issue.-1, pp.507-532, 1988.
DOI : 10.1016/0898-1221(85)90175-0

E. De-langre, O. Doaré, and F. Pellet, Follower force on a semi-infinite beam loaded by its own weight: model and experiments, C. R. Acad. Sci. Paris II B, vol.329, pp.175-178, 2001.
URL : https://hal.archives-ouvertes.fr/hal-01025347

T. S. Lee, Stability analysis of the Ortloff-Ives equation, Journal of Fluid Mechanics, vol.none, issue.-1, pp.293-295, 1981.
DOI : 10.1017/S0022112066001496

C. Lemaitre, P. Hémon, and E. De-langre, Instability of a long ribbon hanging in axial air flow, Journal of Fluids and Structures, vol.20, issue.7, pp.913-925, 2005.
DOI : 10.1016/j.jfluidstructs.2005.04.009
URL : https://hal.archives-ouvertes.fr/hal-01024961

M. J. Lighthill, Note on the swimming of slender fish, Journal of Fluid Mechanics, vol.9, issue.02, pp.305-317, 1960.
DOI : 10.1017/S0022112060001110

J. L. Lopes, LINEAR AND NONLINEAR DYNAMICS OF CANTILEVERED CYLINDERS IN AXIAL FLOW. PART 2: THE EQUATIONS OF MOTION, Journal of Fluids and Structures, vol.16, issue.6, pp.715-737
DOI : 10.1006/jfls.2002.0448

N. , C. C. &h-a-n-s-e-n, and R. J. , An experimental study of the flow-induced motions of a flexible cylinder in axial flow, Trans. ASME I: J. Fluids Engng, vol.100, pp.389-394, 1978.

C. R. Ortloff and J. Ives, On the dynamic motion of a thin flexible cylinder in a viscous stream, Journal of Fluid Mechanics, vol.16, issue.04, pp.713-720, 1969.
DOI : 10.1063/1.1761377

M. P. Pa¨?doussispa¨?doussis, Dynamics of flexible slender cylinders in axial flow Part 2. Experiments, Journal of Fluid Mechanics, vol.none, issue.04, pp.737-751, 1966.
DOI : 10.1017/S0022112066001496

M. P. Pa¨?doussispa¨?doussis, Dynamics of cylindrical structures subjected to axial flow, Journal of Sound and Vibration, vol.29, issue.3, pp.365-385, 1973.
DOI : 10.1016/S0022-460X(73)80291-3

M. P. Pa¨?doussispa¨?doussis, Academic, Fluid?Structure Interactions: Slender Structures and Axial Flows, 1998.

M. P. Pa¨?doussispa¨?doussis, E. Grinevich, D. Adamovic, and C. Semler, LINEAR AND NONLINEAR DYNAMICS OF CANTILEVERED CYLINDERS IN AXIAL FLOW. PART 1: PHYSICAL DYNAMICS, Journal of Fluids and Structures, vol.16, issue.6, pp.691-713, 2002.
DOI : 10.1006/jfls.2002.0447

H. P. Pao, Dynamical Stability of a Towed Thin Flexible Cylinder, Journal of Hydronautics, vol.4, issue.4, pp.144-150, 1970.
DOI : 10.2514/3.62853

L. Schouveiler, C. Eloy, and P. Le-gal, Flow-induced vibrations of high mass ratio flexible filaments freely hanging in a flow, Physics of Fluids, vol.17, issue.4, p.47104, 2005.
DOI : 10.1063/1.1878292
URL : https://hal.archives-ouvertes.fr/hal-00014491

C. Semler, J. L. Lopes, N. Augu, and M. P. Pa¨?doussispa¨?doussis, LINEAR AND NONLINEAR DYNAMICS OF CANTILEVERED CYLINDERS IN AXIAL FLOW. PART 3: NONLINEAR DYNAMICS, Journal of Fluids and Structures, vol.16, issue.6, pp.739-759, 2002.
DOI : 10.1006/jfls.2002.0445

K. Sudarsan, S. K. Bhattacharyya, and C. P. Vendhan, An experimental study of hydroelastic instability of flexible towed underwater cylindrical structures, Proc. 16th OMAE Conf, pp.73-80, 1997.

Y. Sugiyama and H. Kawagoe, Vibration and stability of elastic columns under the combined action of uniformly distributed vertical and tangential forces, Journal of Sound and Vibration, vol.38, issue.3, pp.341-355, 1975.
DOI : 10.1016/S0022-460X(75)80051-4

G. S. Triantafyllou and C. Chryssostomidis, Analytical determination of the buckling speed of towed slender cylindrical beams, Trans. ASME J. Energy Resources Technol, vol.106, pp.247-249, 1984.

G. S. Triantafyllou and C. Chryssostomidis, Stability of a String in Axial Flow, Journal of Energy Resources Technology, vol.107, issue.4, pp.421-425, 1985.
DOI : 10.1115/1.3231213

J. Zhang, S. Childress, A. Libchaber, and M. Shelley, Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind, Nature, vol.408, issue.6814, pp.835-839, 2000.
DOI : 10.1038/35048530