P. Schmiechen, Travelling Wave Speed Coincidence (Ph.D. thesis). Imperial College of London, 1997.

S. Sinha, Dynamic characteristics of a flexible bladed-rotor with Coulomb damping due to tip-rub, Journal of Sound and Vibration, vol.273, issue.4-5, pp.875-919, 2004.
DOI : 10.1016/S0022-460X(03)00647-3

N. Lesaffre, J. Sinou, and F. Thouverez, Model and Stability Analysis of a Flexible Bladed Rotor, International Journal of Rotating Machinery, vol.126, issue.3, pp.1-16, 2006.
DOI : 10.1155/IJRM/2006/63756
URL : https://hal.archives-ouvertes.fr/hal-00214207

N. Lesaffre, Stabilité et Analyse Non-linéaire du Contact Rotor?Stator (Thèse de Doctorat) Ecole Centrale de Lyon, 2007.

M. Legrand, Modèles de Prédiction de l'Interaction Rotor, Thèse de Doctorat). Ecole Centrale de Nantes, 2005.

M. Legrand, C. Pierre, P. Cartraud, and J. Lombard, Two-dimensional modeling of an aircraft engine structural bladed disk-casing modal interaction, Journal of Sound and Vibration, vol.319, issue.1-2, pp.319-366, 2009.
DOI : 10.1016/j.jsv.2008.06.019
URL : https://hal.archives-ouvertes.fr/hal-00328186

M. Legrand, A. Batailly, and C. Pierre, Numerical Investigation of Abradable Coating Removal in Aircraft Engines Through Plastic Constitutive Law, Journal of Computational and Nonlinear Dynamics, vol.7, issue.1, 2012.
DOI : 10.1115/1.4004951
URL : https://hal.archives-ouvertes.fr/hal-00627526

R. J. Williams, Simulation of Blade Casing Interaction Phenomena in Gas Turbines Resulting From Heavy Tip Rubs Using an Implicit Time Marching Method, Volume 6: Structures and Dynamics, Parts A and B, pp.2011-45495, 2011.
DOI : 10.1115/GT2011-45495

A. Batailly, Simulation De L'interaction Rotor/Stator Pour Des Turbomachines Aéronautiques En Configuration Non-Accidentelle, Thèse de Doctorat), Ecole Centrale de Nantes, 2008.

A. Batailly, M. Legrand, P. Cartraud, and C. Pierre, Assessment of reduced models for the detection of modal interaction through rotor stator contacts, Journal of Sound and Vibration, vol.329, issue.26, pp.5546-5562, 2010.
DOI : 10.1016/j.jsv.2010.07.018

M. Legrand, A. Batailly, B. Magnain, P. Cartraud, and C. Pierre, Full three-dimensional investigation of structural contact interactions in turbomachines, Journal of Sound and Vibration, vol.331, issue.11, pp.2578-2601, 2012.
DOI : 10.1016/j.jsv.2012.01.017
URL : https://hal.archives-ouvertes.fr/hal-00660863

A. Batailly, M. Legrand, and C. Pierre, Influence of Abradable Coating Wear Mechanical Properties on Rotor Stator Interaction, Volume 6: Structures and Dynamics, Parts A and B, pp.2011-45189, 2011.
DOI : 10.1115/GT2011-45189

A. Millecamps, Interaction aube-carter: contribution de l'usure et de la thermomécanique sur la dynamique de l'aube (Thèse), 2010.

A. Millecamps, J. F. Brunel, P. Dufrenoy, F. Garcin, and M. Nucci, Influence of Thermal Effects During Blade-Casing Contact Experiments, Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B, pp.855-862, 2010.
DOI : 10.1115/DETC2009-86842
URL : https://hal.archives-ouvertes.fr/hal-01223060

A. Muszynska, Rotor-to-stationary element rub-related vibration phenomena in rotating machinery, Literature Suryey, The Shock and Vibration Digest, pp.21-24, 1989.

S. Ahmad, Rotor Casing Contact Phenomenon in Rotor Dynamics -- Literature Survey, Journal of Vibration and Control, vol.16, issue.9, pp.1369-1377, 2010.
DOI : 10.1177/1077546309341605

A. R. Bartha, Dry Friction Backward Whirl of Rotors Swiss Federal Institute of Technology, p.13817, 2000.

D. E. Bently, J. Yu, P. Goldman, and A. Muszynska, Full Annular RUB in Mechanical Seals, Part I: Experimental Results, International Journal of Rotating Machinery, vol.8, issue.5, pp.319-328, 2002.
DOI : 10.1155/S1023621X02000301

M. O. Cole and P. S. Keogh, Asynchronous periodic contact modes for rotor vibration within an annular clearance, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol.110, issue.10, pp.1101-1115, 2003.
DOI : 10.1243/095440603322517126

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

A. Lingener, Experimental investigation of reverse whirl of a flexible rotor, Proceedings of the 3rd International conference on Rotordynamics IfToMM Lyon France, pp.13-18, 1990.

S. H. Crandall, From whirl to whip in rotordynamics, Proceedings of the 3rd International Conference on Rotordynamics IfToMM, pp.19-24, 1990.

J. C. Wilkes, D. W. Childs, B. J. Dyck, and S. G. Phillips, The Numerical and Experimental Characteristics of Multimode Dry-Friction Whip and Whirl, Journal of Engineering for Gas Turbines and Power, vol.132, issue.5, pp.52503-52504, 2010.
DOI : 10.1115/1.3204658

A. Bhattacharya and D. W. Childs, Dry-Friction Whirl and Whip Between a Rotor and a Stator: Effect of Rotor-Stator Coupling Due to Seals and Rotor Rigid-Body Dynamics, Volume 6: Structures and Dynamics, Parts A and B, pp.2009-59979, 2009.
DOI : 10.1115/GT2009-59979

D. W. Childs and A. Bhattacharya, Prediction of Dry-Friction Whirl and Whip Between a Rotor and a Stator, Journal of Vibration and Acoustics, vol.129, issue.3, pp.355-362, 2007.
DOI : 10.1115/1.2731412

M. O. Cole, On stability of rotor dynamic systems with rotor/stator contact interaction, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, pp.464-2100, 2008.

G. X. Li and M. P. Païdoussi, Impact phenomena of rotor-casing dynamical systems, Nonlinear Dyn, vol.5, pp.53-70, 1994.

J. Jiang and H. Ulbrich, Stability analysis of sliding whirl in a nonlinear Jeffcott rotor with cross-coupling stiffness coefficients, Nonlinear Dynamics, vol.24, issue.3, pp.269-283, 2001.
DOI : 10.1023/A:1008376412944

J. Jiang, Determination of the global responses characteristics of a piecewise smooth dynamical system with contact, Nonlinear Dyn, pp.351-361, 2009.

Z. Shang, J. Jiang, and L. Hong, The global responses characteristics of a rotor/stator rubbing system with dry friction effects, Journal of Sound and Vibration, vol.330, issue.10, pp.2150-2160, 2011.
DOI : 10.1016/j.jsv.2010.06.004

Y. S. Choi, INVESTIGATION ON THE WHIRLING MOTION OF FULL ANNULAR ROTOR RUB, Journal of Sound and Vibration, vol.258, issue.1, pp.191-198, 2002.
DOI : 10.1006/jsvi.2002.5091

P. Pennacchi, N. Bachschmid, and E. Tanzi, Light and short arc rubs in rotating machines: Experimental tests and modelling, Mechanical Systems and Signal Processing, vol.23, issue.7, pp.2205-2227, 2009.
DOI : 10.1016/j.ymssp.2009.03.008

Y. S. Choi, Dynamics of rotor rub in annular clearance with experimental evaluation, KSME Journal, vol.113, issue.No. 3, pp.404-413, 1994.
DOI : 10.1016/S0022-460X(87)80135-9

S. Popprath and H. Ecker, Nonlinear dynamics of a rotor contacting an elastically suspended stator, Journal of Sound and Vibration, vol.308, issue.3-5, pp.3-5, 2007.
DOI : 10.1016/j.jsv.2007.03.089

F. Choy and J. Padovan, Non-linear transient analysis of rotor-casing rub events, Journal of Sound and Vibration, vol.113, issue.3, pp.529-545, 1987.
DOI : 10.1016/S0022-460X(87)80135-9

T. H. Patel and A. K. Darpe, Coupled bending-torsional vibration analysis of rotor withrub and crack, J. Sound Vib, vol.326, pp.3-5, 2009.

O. Grapis, V. Tamuzs, N. Ohlson, and J. Andersons, Overcritical high-speed rotor systems, full annular rub and accident, Journal of Sound and Vibration, vol.290, issue.3-5, pp.3-5, 2006.
DOI : 10.1016/j.jsv.2005.04.031

S. Roques, Modélisation du Comportement Dynamique Couplé Rotor-Stator d'une Turbine en Situation Accidentelle, Thèse de Doctorat). Ecole Centrale de Nantes, 2007.

S. Roques, M. Legrand, P. Cartraud, C. Stoisser, and C. Pierre, Modeling of a rotor speed transient response with radial rubbing, Journal of Sound and Vibration, vol.329, issue.5, pp.527-546, 2010.
DOI : 10.1016/j.jsv.2009.09.016
URL : https://hal.archives-ouvertes.fr/hal-00431223

S. Braut, R. Zigulic, A. Skoblar, G. Stimac, M. Butkovic et al., Dynamic Analysis of the Rotor?Stator Contact due to Blade Loss, Proceedings of the 12th IFToMM World Congress, 2007.

N. Bachschmid, P. Pennacchi, and A. Vania, Thermally induced vibrations due to rub in real rotors, Journal of Sound and Vibration, vol.299, issue.4-5, pp.683-719, 2007.
DOI : 10.1016/j.jsv.2006.04.045

J. Sawicki and A. Montilla-bravo, Thermomechanical Behavior of Rotor with Rubbing, International Journal of Rotating Machinery, vol.9, issue.1, pp.41-47, 2003.
DOI : 10.1155/S1023621X03000058

B. L. Newkirk, SHAFT RUBBING*, Journal of the American Society for Naval Engineers, vol.39, issue.1, pp.830-832, 1926.
DOI : 10.1111/j.1559-3584.1927.tb04982.x

D. Childs, A Note on Kellenberger???s Model for Spiral Vibrations, Journal of Vibration and Acoustics, vol.123, issue.3, pp.405-408, 2001.
DOI : 10.1115/1.1377022

J. Denape and N. Laraqi, Aspect thermique du frottement: mise en ??vidence exp??rimentale et ??l??ments de mod??lisation, M??canique & Industries, vol.1, issue.6, pp.563-579, 2000.
DOI : 10.1016/S1296-2139(00)01068-X

I. Temizer and P. Wriggers, Thermal contact conductance characterization via computational contact homogenization: A finite deformation theory framework, International Journal for Numerical Methods in Engineering, vol.98, issue.5, pp.27-58, 2010.
DOI : 10.1016/j.wear.2009.06.040

E. Kosing, R. Scharl, and H. Schmuhl, Design improvements of the EJ200 HP compressor. From design verification engine to a future all blisk version, Proceedings of ASME TURBO EXPO, pp.2001-0283, 2001.

D. Japikse, Decisive factors in advanced centrifugal compressor design and development, ASME PID, vol.5, pp.23-36, 2000.

G. F. Zhang, W. N. Xu, and W. Zhang, Analytical study of nonlinear synchronous full annular rub motion of flexible rotorstator system and its dynamic stability, Nonlinear Dyn, pp.579-592, 2009.

F. Cong, J. Chen, G. Dong, and K. Huang, Experimental validation of impact energy model for the rub???impact assessment in a rotor system, Mechanical Systems and Signal Processing, vol.25, issue.7, pp.2549-2558, 2011.
DOI : 10.1016/j.ymssp.2011.04.004

P. Wriggers, Nonlinear Finite Element Methods

R. M. Brach59, ]. F. Chu, and W. Lu, Stiffening effect of the rotor during the rotor-to-stator rub in a rotating machine The harmonic balance method with arc-length continuation in rotor/ stator contact problems, Mechanical Impact Dynamics: Rigid Body Collisions, pp.3-5, 2001.

F. Chu and Z. Zhang, BIFURCATION AND CHAOS IN A RUB-IMPACT JEFFCOTT ROTOR SYSTEM, Journal of Sound and Vibration, vol.210, issue.1, pp.1-18, 1998.
DOI : 10.1006/jsvi.1997.1283

Y. B. Kim and S. T. Noah, QUASI-PERIODIC RESPONSE AND STABILITY ANALYSIS FOR A NON-LINEAR JEFFCOTT ROTOR, Journal of Sound and Vibration, vol.190, issue.2, pp.239-253, 1996.
DOI : 10.1006/jsvi.1996.0059

S. Edwards, A. W. Lees, and M. I. , THE INFLUENCE OF TORSION ON ROTOR/STATOR CONTACT IN ROTATING MACHINERY, Journal of Sound and Vibration, vol.225, issue.4, pp.767-778, 1999.
DOI : 10.1006/jsvi.1999.2302

Z. Feng and X. Z. Zhang, Rubbing phenomena in rotor???stator contact, Chaos, Solitons & Fractals, vol.14, issue.2, pp.257-267, 2002.
DOI : 10.1016/S0960-0779(01)00231-4

F. Chu and Z. Zhang, Periodic, quasi-periodic and chaotic vibrations of a rub-impact rotor system supported on oil film bearings, International Journal of Engineering Science, vol.35, issue.10-11, pp.10-11, 1997.
DOI : 10.1016/S0020-7225(97)89393-7

W. Qin, G. Chen, and G. Meng, Nonlinear responses of a rub-impact overhung rotor, Chaos, Solitons & Fractals, vol.19, issue.5, pp.1161-1172, 2004.
DOI : 10.1016/S0960-0779(03)00306-0

S. L. Chen and M. Géradin, Finite element simulation of non???linear transient response due to rotor???stator contact, Engineering Computations, vol.14, issue.6, pp.591-603, 1997.
DOI : 10.1108/02644409710180356

C. Padova, J. Barton, M. G. Dunn, S. Manwaring, G. Young et al., Development of an experimental capability to produce controlled blade tip/shroud rubs at engine speed, J. Turbomach, vol.127, pp.727-735, 2005.

C. Padova, J. Barton, M. G. Dunn, and S. Manwaring, Experimental Results From Controlled Blade Tip/Shroud Rubs at Engine Speed, Journal of Turbomachinery, vol.129, issue.4, pp.713-723, 2007.
DOI : 10.1115/1.2720869
URL : https://hal.archives-ouvertes.fr/hal-01333702

C. Padova, M. G. Dunn, J. Barton, K. Turner, A. Turner et al., Casing treatment and blade-tip configuration effects on controlled gas turbine blade tip/shroud rubs at engine conditions, J. Turbomach, vol.133, pp.713-723, 2011.
DOI : 10.1115/1.4000539

C. Padova, M. Dunn, J. Barton, T. Steen, and K. Turner, Controlled Fan Blade Tip/Shroud Rubs at Engine Conditions, Volume 6: Structures and Dynamics, Parts A and B, pp.2011-45223, 2011.
DOI : 10.1115/GT2011-45223

I. Krajcin and D. Söffker, Model-Based Estimation of Contact Forces in Rotating Machines, Proceedings of the 4th IMACS Symposium on Mathematical Modeling, 2003.

H. Reiss, Flow Control Core, Overview European Workshop on New Aero Engine Concepts, p.30

O. Ismeurt, Contribution à l'étude de l'influence du frottement rotor/stator sur le comportement dynamique des machines tournantes, 1995.

M. A. Fumagalli, Modelling and measurement analysis of the contact Interaction between a high speed rotor and its stator. Thesis, Swiss Institute of Technology, 1997.

X. Dai, Z. Jin, and X. Zhang, DYNAMIC BEHAVIOR OF THE FULL ROTORSTOP RUBBING: NUMERICAL SIMULATION AND EXPERIMENTAL VERIFICATION, Journal of Sound and Vibration, vol.251, issue.5, pp.807-822, 2002.
DOI : 10.1006/jsvi.2001.3998

G. Chen, C. G. Li, and D. Y. Wang, Nonlinear Dynamic Analysis and Experiment Verification of Rotor-Ball Bearings-Support-Stator Coupling System for Aeroengine With Rubbing Coupling Faults, Journal of Engineering for Gas Turbines and Power, vol.132, issue.2, 2010.
DOI : 10.1115/1.2940355

Y. Choi and C. Bae, Nonlinear dynamic analysis of partial rotor rub with experimental observations, Proceedings of ASME Design Engineering Technical Conference, 2001.

F. Chu and W. Lu, Experimental observation of nonlinear vibrations in a rub-impact rotor system, Journal of Sound and Vibration, vol.283, issue.3-5, pp.3-5, 2005.
DOI : 10.1016/j.jsv.2004.05.012

H. Diangui, Experiment on the characteristics of torsional vibration of rotor-to-stator rub in turbomachinery, Tribology International, vol.33, issue.2, pp.75-79, 2000.
DOI : 10.1016/S0301-679X(00)00029-3

M. Torkhani, L. May, and P. , Light, medium and heavy partial rubs during speed transients of rotating machines: Numerical simulation and experimental observation, Mechanical Systems and Signal Processing, vol.29, pp.45-66, 2012.
DOI : 10.1016/j.ymssp.2012.01.019