S. Krenk, Mechanics and Analysis of Beams, Columns and Cables, 2 nd, 2001.
DOI : 10.1007/978-3-642-56694-3

H. M. Irvine and T. K. Caughey, The Linear Theory of Free Vibrations of a Suspended Cable, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.341, issue.1626, pp.299-315, 1974.
DOI : 10.1098/rspa.1974.0189

H. M. Irvine and C. Structures, The M.I, 1981.

H. H. West, L. F. Geschwindner, and J. E. Suhoski, Natural vibrations of suspension cables, J. of the Structural Division, vol.11, pp.2277-2291, 1975.

L. Meirovitch, Elements of Vibration Analysis, 1975.

K. Takahashi and Y. Konishi, Non-linear vibrations of cables in three dimensions, part I: Non-linear free vibrations, Journal of Sound and Vibration, vol.118, issue.1, pp.69-84, 1987.
DOI : 10.1016/0022-460X(87)90255-0

G. Rega and F. Benedettini, Planar non-linear oscillations of elastic cables under subharmonic resonance conditions, Journal of Sound and Vibration, vol.132, issue.3, pp.367-381, 1989.
DOI : 10.1016/0022-460X(89)90631-7

F. Benedettini, F. Vestroni, and G. Rega, Parametric analysis of large amplitude free vibrations of a suspended cable, International Journal of Solids and Structures, vol.20, issue.2, pp.95-105, 1984.

F. Benedettini, G. Rega, and R. Alaggio, Non-linear oscillations of a four-degree-of-freedom model of a suspended cable under multiple internal resonance conditions, Journal of Sound and Vibration, vol.182, issue.5, pp.775-798, 1995.
DOI : 10.1006/jsvi.1995.0232

Y. L. Xu and Z. Yu, Non-linear vibration of cable-damper systems Part I: formulation, Journal of Sound and Vibration, vol.225, issue.3, pp.447-463, 1999.

B. Portier, Dynamic phenomena in ropeways after a haul rope rupture, Earthquake Engineering & Structural Dynamics, vol.103, issue.4, pp.433-449, 1984.
DOI : 10.1098/rspa.1974.0189

Y. Achkire, ACTIVE TENDON CONTROL OF CABLE-STAYED BRIDGES, Earthquake Engineering & Structural Dynamics, vol.25, issue.6, p.121, 1997.
DOI : 10.1002/(SICI)1096-9845(199606)25:6<585::AID-EQE570>3.0.CO;2-I

V. N. Pilipchuk and R. A. Ibrahim, NON-LINEAR MODAL INTERACTIONS IN SHALLOW SUSPENDED CABLES, Journal of Sound and Vibration, vol.227, issue.1, pp.1-28, 1999.
DOI : 10.1006/jsvi.1999.2326

G. Zheng, J. M. Ko, and Y. Q. Ni, Super-Harmonic and Internal resonances of a Suspended Cable with Nearly Commensurable Natural frequencies, Nonlinear Dynamics, vol.30, issue.1, pp.55-70, 2002.
DOI : 10.1023/A:1020395922392

R. O. , Global bifurcations in the forced vibration of a damped string, International Journal of Non-Linear Mechanics, vol.28, issue.3, pp.337-351, 1993.

J. L. Lilien and A. Pinto-da-costa, Vibration Amplitudes Caused by Parametric Excitation of Cable Stayed Structures, Journal of Sound and Vibration, vol.174, issue.1, pp.69-90, 1994.
DOI : 10.1006/jsvi.1994.1261

A. H. Nayfeh and P. F. Pai, Linear and Nonlinear Structural Mechanics, 2004.

Y. Fujino, P. Warnitchai, and B. M. Pacheco, An experimental and analytical study of autoparametric resonance in a 3 DOF model of cable-stayed-beam, Nonlinear Dynamics, vol.4, pp.111-138, 1992.

V. Gattulli and M. Lepidi, Nonlinear interactions in the planar dynamics of cable-stayed beam, International Journal of Solids and Structures, vol.40, issue.18, pp.29-48, 2003.
DOI : 10.1016/S0020-7683(03)00266-X

V. Gattulli, M. Lepidi, J. Macdonald, and C. Taylor, One-totwo global?local interaction in a cable-stayed beam observed through analytical, finite element and experimental models, International Journal Non-Linear Mech, vol.40, issue.4, pp.71-88, 2005.

I. Khadraoui, Contribution à la modélisation et à l'analyse dynamique des structures à câbles, Thèse de Doctorat, p.262, 1999.

A. Berlioz and C. H. Lamarque, A non-linear model for the dynamics of an inclined cable, Journal of Sound and Vibration, vol.279, issue.3-5, pp.619-639, 2005.
DOI : 10.1016/j.jsv.2003.11.069
URL : https://hal.archives-ouvertes.fr/hal-00814576

A. Berlioz and C. H. Lamarque, Nonlinear Vibrations of an Inclined Cable, Journal of Vibration and Acoustics, vol.279, issue.4, pp.315-323, 2005.
DOI : 10.1016/0020-7462(92)90083-J
URL : https://hal.archives-ouvertes.fr/hal-00814591

O. Boujard, S. Pernot, A. Berlioz, and C. H. Lamarque, Nonlinear Parametric Resonances in a Stay of the Iroise Cable-Stayed Bridge: Analytical Model and Experiments, Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, p.14, 2007.
DOI : 10.1115/DETC2007-35079