Von Groll, G., and Ewins, D. J., 2000, “On the Dynamics of Windmilling in Aero-Engines,” "Proceedings of the Seventh International Conference on Vibrations in Rotating Machinery", Nottingham, pp. 721–730.
Johnson, D. C., 1962, “Synchronous Whirl of a Vertical Shaft Having Clearance in One Bearing,” J. Mech. Eng. Sci., 4 (1), pp. 85–93.
[CrossRef]Muszynska, A., and Goldman, P., 1993, “Chaotic Vibrations of Rotor/Bearing/Stator Systems With Looseness or Rubs,” Nonlinear Vibrations, 54 , pp. 187–194.
Kim, Y. B., and Noah, S. T., 1990, “Bifurcation Analysis for a Modified Jeffcott Rotor With Bearing Clearances,” Nonlinear Dyn., 1 , pp. 221–241.
[CrossRef]Yu, J. J., Goldman, P., Bently, D. E., and Muzynska, A., 2002, “Rotor/Seal Experimental and Analytical Study of Full Annular Rub,” ASME J. Eng. Gas Turbines Power, 124 (2), pp. 340–350.
[CrossRef]Bartha, A. R., 2000, “Dry Friction Backward Whirl of Rotors,” Ph.D. dissertation, ETH, Zurich.
Williams, R. J., 2004, “Parametric Characterization of Rub Induced Whirl Instability Using an Instrumented Rotordynamic Test Rig,” "Proceedings of the Tenth International Conference on Vibrations in Rotating Machinery", Swansea, Paper C623/012/04, pp. 651–659.
Childs, D. W., and Bhattacharya, A., 2007, “Prediction of Dry-Friction Whirl and Whip Between a Rotor and a Stator,” ASME J. Vibr. Acoust., 129 , pp. 355–362.
[CrossRef]Tamura, K.Shiraki, K.Awa, K. and Watanabe, Y., 2002, “Vibration Behavior of Rotating Shaft Due to Contact with Casing,” "Proceedings of the Sixth International Conference on Motion and Vibration Control", Saitama, pp. 1021–1026.
Villa, C., Sinou, F., and Thoverez, F., 2008, “Stability and Vibration Analysis of a Complex Flexible Rotor Bearing System,” Commun. Nonlinear Sci. Numer. Simul., 13 , pp. 804–821.
[CrossRef]Ehrich, F. F., 1988, “High Order Sub-harmonic Response of High Speed Rotors in Bearing Clearance,” ASME Journal of Vibration, Acoustics, Stress and Reliability in Design, 110 , pp. 9–16.
Wegener, G., MarketR., and Pothmann, K., 1998, “Steady-State Analysis of a Multi-Disk or Continuous Rotor With One Retainer Bearing,” "Proceedings of the Fifth International Conference on Rotor Dynamics", Darmstadt, pp. 816–828.
Lawen, J. L., and Flowers, G. T., 1997, “Synchronous Dynamics of a Coupled Shaft/Bearing/Housing System With Auxiliary Support From a Clearance Bearing: Analysis and Experiment,” ASME J. Eng. Gas Turbines Power, 119 , pp. 431–435.
[CrossRef]Cole, M. O. T., and Keogh, P. S., 2003, “Rotor Vibration With Auxiliary Bearing Contact in Magnetic Bearing Systems, Part 2: Robust Synchronous Control for Rotor Position Recovery,” J. Mech. Eng. Sci., 217 (4), pp. 393–409.
[CrossRef]Cade, I. S., Sahinkaya, M. N., Burrows, C. R., and Keogh, P. S., 2009, “On the Use of Actively Controlled Auxiliary Bearings in Magnetic Bearing Systems,” ASME J. Eng. Gas Turbines Power, 131 (2), p. 022507.
[CrossRef]Ginzinger, L. B., and Ulbrich, H., 2008, “Simulation-Based Controller Design for an Active Auxiliary Bearing,” "Proceedings of the Eleventh International Symposium on Magnetic Bearings", Nara, Paper No. 532.
Ginzinger, L. B., 2009, “Control of a Rubbing Rotor using an Active Auxiliary Bearing,” Ph.D. dissertation, Technical University Munich.
Cole, M. O. T., 2009, “Model-Free Control of Touchdowns Involving Circular Whirl in Rotor-Magnetic Bearing Systems,” JSME J. Syst. Des. Dyn., 3 (3), pp. 584–595.
[CrossRef]Inoue, T., Liu, J., Ishida, Y., and Yoshimura, Y., 2009, “Vibration Control and Unbalance Estimation of a Nonlinear Rotor System Using Disturbance Observer,” ASME J. Vibr. Acoust., 131 , p. 031010.
[CrossRef]Cole, M. O. T., 2008, “On Frequency Response Based Prediction of Rotor-Stator Circular Rub Behavior,” "Proceedings of the Eleventh International Conference on Vibrations in Rotating Machinery", Exeter, pp. 215–224.
Cole, M., 2008, “On Stability of Rotordynamic Systems With Rotor-Stator Contact Interaction,” Proc. R. Soc. London, Ser. A, 464 , pp. 3353–3375
[CrossRef].
Balas, G., Chiang, R., PackardA., and Safonov, M., 2011, "Robust Control Toolbox User’s Guide", The MathWorks, Inc., Natick, MA.
Tuan, H. D., and Apkarian, P., 2000, “Low Nonconvexity-Rank Bilinear Matrix Inequalities: Algorithms and Applications in Robust Controller and Structure Designs,” IEEE Trans. Autom. Control, 45 (11), pp. 2111–2117.
[CrossRef]