J. G. Marshall and M. Imregun, A REVIEW OF AEROELASTICITY METHODS WITH EMPHASIS ON TURBOMACHINERY APPLICATIONS, Journal of Fluids and Structures, vol.10, issue.3, pp.237-267, 1996.
DOI : 10.1006/jfls.1996.0015

C. Lee, Vibration Analysis of Rotors, 1993.
DOI : 10.1007/978-94-015-8173-8

D. Childs, Turbomachinery Rotordynamics Phenomena, Modeling and Analysis, 1993.

A. Muszynska and P. Goldman, Chaotic responses of unbalanced rotor/bearing/stator systems with looseness or rubs, Chaos, Solitons & Fractals, vol.5, issue.9, pp.1683-1704, 1995.
DOI : 10.1016/0960-0779(94)00171-L

Y. Choi, INVESTIGATION ON THE WHIRLING MOTION OF FULL ANNULAR ROTOR RUB, Journal of Sound and Vibration, vol.258, issue.1, pp.191-198, 2001.
DOI : 10.1006/jsvi.2002.5091

E. Arnoult, Numerical modelling and experimental approach to dynamical contact: application to blades/casing contact in aircraft engines, 2000.

P. Schmiechen, Travelling Wave Speed Coincidence, 1997.

M. Berthillier and J. Mascarell, Vibration of bladed disks: rotor-stator interaction study, Rapport interne SNECMA YLEC N DR, p.91, 1991.

M. Legrand, B. Peseux, C. Pierre, and E. Seinturier, Amélioration de la prédiction de l'interaction rotor/stator dans un moteur d'avion, Sixì eme Colloque National en Calcul des Structures, pp.291-298, 2003.

S. K. Sinha, Non-linear dynamic response of a rotating radial Timoshenko beam with periodic pulse loading at the free-end, International Journal of Non-Linear Mechanics, vol.40, issue.1, pp.113-149, 2005.
DOI : 10.1016/j.ijnonlinmec.2004.05.019

T. Belytschko, W. Liu, and B. Moran, Nonlinear Finite Elements for Continua and Structures, 2000.

D. Thomas, Dynamics of rotationally periodic structures, International Journal for Numerical Methods in Engineering, vol.57, issue.1, pp.81-102, 1979.
DOI : 10.1002/nme.1620140107

R. Bladh, Efficient Predictions of the Vibratory Response of Mistuned Bladed Disks by Reduced Order Modeling, 2001.
URL : https://hal.archives-ouvertes.fr/tel-00358168

W. Leissa, Vibration of Shells, NASA SP 288, Scientific and Technical Information Office, 1973.

P. Raveendranath, G. Singh, and B. Pradhan, Free vibration of arches using a curved beam element based on a coupled polynomial displacement field, Computers & Structures, vol.78, issue.4, pp.583-590, 2000.
DOI : 10.1016/S0045-7949(00)00038-9

T. Laursen, Computational contact and impact mechanics, 2003.
DOI : 10.1007/978-3-662-04864-1

P. Papadopoulos and R. L. Taylor, A simple algorithm for three-dimensional finite element analysis of contact problems, Computers & Structures, vol.46, issue.6, pp.1107-1118, 1993.
DOI : 10.1016/0045-7949(93)90096-V

K. Bathe, Finite Element Procedures, 1996.

J. C. Simo and T. A. Laursen, An augmented lagrangian treatment of contact problems involving friction, Computers & Structures, vol.42, issue.1, pp.97-116, 1992.
DOI : 10.1016/0045-7949(92)90540-G

P. Chabrand, O. Chertier, and F. Dubois, Complementarity methods for multibody friction contact problems in finite deformations, International Journal for Numerical Methods in Engineering, vol.51, issue.5, pp.553-578, 2001.
DOI : 10.1002/nme.170.abs
URL : https://hal.archives-ouvertes.fr/hal-01297284

P. Chabrand, F. Dubois, and M. Raous, Various numerical methods for solving unilateral contact problems with friction, Mathematical and Computer Modelling, vol.28, issue.4-8, pp.97-108, 1998.
DOI : 10.1016/S0895-7177(98)00111-3
URL : https://hal.archives-ouvertes.fr/hal-01393691

D. Vola, E. Pratt, M. Raous, and M. Jean, Consistent time discretization for a dynamical frictional contact problem and complementarity techniques, Revue Europ??enne des ??l??ments Finis, vol.7, issue.1-3, pp.149-162, 1998.
DOI : 10.1080/12506559.1998.11690471

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.103-128, 1991.
DOI : 10.1002/nme.1620320107
URL : https://hal.archives-ouvertes.fr/hal-01389918

M. Yi, J. He, B. Huang, and H. Zhou, Friction and wear behaviour and abradability of abradable seal coating, Wear, vol.231, issue.1, pp.47-53, 1999.
DOI : 10.1016/S0043-1648(99)00093-9

G. S. Mcnulty, J. J. Decker, B. F. Beacher, and S. A. Khalid, The Impact of Forward Swept Rotors on Tip Clearance Flows in Subsonic Axial Compressors, Journal of Turbomachinery, vol.126, issue.4, pp.445-454, 2004.
DOI : 10.1115/1.1773852

D. J. Ewins, The effects of detuning upon the forced vibrations of bladed disks, Journal of Sound and Vibration, vol.9, issue.1, pp.65-79, 1969.
DOI : 10.1016/0022-460X(69)90264-8

T. R. Camp, A Study of Acoustic Resonance in a Low-Speed Multistage Compressor, Journal of Turbomachinery, vol.121, issue.1, pp.36-43, 1999.
DOI : 10.1115/1.2841232