J. Jing, G. Meng, and S. Xia, On the Oil-Whipping of a Rotor-Bearing System by a Continum Model

H. Castro, K. Cavalca, and R. Nordmann, Whirl and whip instabilities in rotor-bearing system considering a nonlinear force model, Journal of Sound and Vibration, vol.317, issue.1-2, pp.273-293, 2008.
DOI : 10.1016/j.jsv.2008.02.047

B. Changqing and X. Qingyu, Dynamic model of ball bearings with internal clearance and waviness, Journal of Sound and Vibration, vol.294, issue.1-2, pp.23-48, 2006.
DOI : 10.1016/j.jsv.2005.10.005

M. Tiwari and K. Gupta, EFFECT OF RADIAL INTERNAL CLEARANCE OF A BALL BEARING ON THE DYNAMICS OF A BALANCED HORIZONTAL ROTOR, Journal of Sound and Vibration, vol.238, issue.5, pp.723-756, 2000.
DOI : 10.1006/jsvi.1999.3109

M. Sahinkaya, A. Abulrub, P. Keogh, and C. Burrows, Multiple Sliding and Rolling Contact Dynamics for a Flexible Rotor/Magnetic Bearing System, IEEE/ASME Transactions on Mechatronics, vol.12, issue.2, pp.179-189, 2007.
DOI : 10.1109/TMECH.2007.892827

S. Harsha, Nonlinear dynamic analysis of a high-speed rotor supported by rolling element bearings, Journal of Sound and Vibration, vol.290, issue.1-2
DOI : 10.1016/j.jsv.2005.03.008

Z. Qu, Model Reduction for Dynamical Systems with Local Nonlinearities, AIAA Journal, vol.40, issue.2, pp.327-333, 2002.
DOI : 10.2514/2.1649

T. Harris and M. Kotzalas, Advanced Concepts of Bearing Technology, 2006.

N. Carpenter, R. Taylor, and M. Katona, Lagrange constraints for transient finite element surface contact, International Journal for Numerical Methods in Engineering, vol.1, issue.1, pp.123-128, 1991.
DOI : 10.1002/nme.1620320107

URL : https://hal.archives-ouvertes.fr/hal-01389918

R. Craig and M. Bampton, Coupling of Substructures for Dynamic Analysis, AIAA Journal, vol.6, issue.7, pp.1313-1319, 1968.

T. Harris, Rolling Bearing Analysis, 2001.

J. Jianping, M. Guang, S. Yi, and X. Songbo, On the non-linear dynamic behavior of a rotor???bearing system, Journal of Sound and Vibration, vol.274, issue.3-5, pp.3-5, 2004.
DOI : 10.1016/S0022-460X(03)00663-1

A. Muszynska, Whirl and whip???Rotor/bearing stability problems, Journal of Sound and Vibration, vol.110, issue.3, pp.443-462, 1986.
DOI : 10.1016/S0022-460X(86)80146-8

S. Crandall, From whirl to whip in rotordynamics, 3rd IFToMM Conference on Rotordynamics, pp.19-26, 1990.