Rubbing between a rotor and its casing has long been recognized as a major contributor to excessive maintenance and in general to machinery failure. During contact, the high energy of the rotor, dissipated by the frictional force, can severely damage both parts, and can lead to total destruction of the machine. The purpose of this article is to provide an overview of the state of the art on the rotor-casing contact phenomenon in rotor dynamics, describing aspects of different physical parameters such as stiffness, damping, Coulomb friction, acceleration of rotor, support structure asymmetry, thermal effects and disk flexibility etc. The intention is to summarize the results presented in literature which are beneficial for the designers of rotating machines and also a source of research inspiration for the scientists and technologists working in this field.
Al-Wedyan, H.M., Tahat, M.S., and Mutasher, S.A., 2008, "The behaviour of the Jeffcott rotor under a vibrating base of fluid film bearing," Suranaree Journal of Science and Technology15(3), 167-176.
2.
Bachschmid, N., Pennacchi, P., and Vania, A., 2007, "Thermally induced vibrations due to rub in real rotors ," Journal of Sound and Vibration299, 683-719.
3.
Bazan, E., Bielak, J., and Griffin, J.H., 1986, "An efficient method for predicting the vibratory response of linear structures with friction interfaces," Journal of Engineering for Gas Turbines and Power94, 117-125.
4.
Choy, F.K. and Padovan, J., 1987, "Non-linear transient analysis of rotor-casing rub events ," Journal of Sound and Vibration113(3), 529-545.
5.
Choy, F.K., Padovan, J., and Batur, C., 1989, "Rub interactions of flexible casing rotor system," ASME Journal of Engineering for Gas Turbines and Power111, 652-658.
6.
Chu, F. and Lu, W., 2001, "Determination of the rubbing location in a multi-disk rotor system by means of dynamic stiffness identification," Journal of Sound and Vibration248(2), 235-246.
7.
Chu, F. and Lu, W., 2007, "Stiffening effect of the rotor during the rotor-to-stator rub in a rotating machine," Journal of Sound and Vibration308, 758-766.
8.
Currami, A., Pizzigoni, B., and Vania, A., 1986, "On the rubbing phenomenon in turbomachinery," in Proceedings of the Fourth IFToMM International Conference on Rotordynamics, Tokyo, Japan, pp 481-486.
9.
Dai, X., Jin, Z., and Zhang, X., 2002, "Dynamic behavior of the full rotorstop rubbing: numerical simulation and experimental verification," Journal of Sound and Vibration251(5), 807-822.
10.
Dai, X., Zhang, X., and Jin, X., 2001, "The partial and full rubbing of a flywheel rotor-bearing-stop system," International Journal of Mechanical Sciences43(2), 505-519.
11.
Edwards, S., Lees, A.W., and Friswell, M.I., 1999, "The influence of torsion on rotor/stator contact in rotating machinery," Journal of Sound and Vibration225(4), 767-778.
12.
Fatarella, F., 1999, "On the dynamics of reverse whirl due to rotor/stator interaction," PhD thesis, Imperial College London.
13.
Feng, Z.C., and Zhang, X-Z., 2002, "Rubbing phenomenon in rotor-stator contact," Chaos, Solitons & Fractals14(2), 257-267.
14.
Ghauri, M.K.K., Fox, C.H.J., and Williams, E.J., 1996, "Transient response and contact due to sudden imbalance in a flexible rotor-casing system with support asymmetry," in 6th International Conference on Vibration in Rotating Machinery , IMechE, Oxford, UK September, pp 383-394.
15.
Goldman, P. and Muszynska, A., 1994, "Dynamic effects in mechanical structures with gaps and impacting, order and chaos," ASME Journal of Vibration and Acoustics116, pp 541-547.
16.
Goldman, P. and Muszynska, A., 1995a, "Chaotic responses of unbalanced rotor/bearing/stator systems with looseness or rubs," Chaos Solitons & Fractals5(9), 1683-1704.
17.
Goldman, P. and Muszynska, A., 1995b, "Rotor-to-stator, rub-related thermal/mechanical effects in rotating machinery," Chaos Solitons & Fractals5(9), 1579-1601.
18.
Groll, G.V. and Ewins, D.J., 2000, "On the dynamics of wind milling in aero-engines," in 7th International Conference on Vibration in Rotating Machinery, Institute of Mechanical Engineers, University of Nottingham, UK, September 12-14.
19.
Isaksson, J.L., 2002, "Dynamics of rotors influenced by rubbing contacts," PhD Dissertation No. 483 (2002), LinkopingStudies in Science and Technology, Linkoping University, Linkoping, Sweden.
20.
Jiang, J., 2007, "The analytical solution and the existence condition of dry friction backward whirl in rotor-to-stator contact system," ASME Journal of Vibration and Acoustics129, 260-264.
21.
Karpenko, E.V., Wiercigroch, M., and Cartmell, M.P., 2002a, "Regular and chaotic dynamics of a discontinuously non-linear rotor system," Chaos, Solitons & Fractals13, 1231-1242.
22.
Karpenko, E.V., Wiercigroch, M., Pavlovskaia, E.E., and Cartmell, M.P., 2002b, "Piecewise Approximate analytical solutions for a jeffcott rotor with a snubber ring," International Journal of Mechanical Sciences44, 475-488.
23.
Karpenko, E.V., Wiercigroch, M., and Pavlovskaia, E.E. , 2003, "Bifurcation analysis of a preloaded jeffcott rotor" Chaos, Solitons & Fractals15, 407-416.
24.
Karpenko, E.V., Wiercigroch M., Pavlovskaia, E.E., and Neilson, R.D., 2006, "Experimental verification of jeffcott rotor model with preloaded snubber ring," Journal of Sound and Vibration298(4-5), 907-917.
25.
Kellenberger, W., 1980, "Spiral vibrations due to the seal rings in turbogenerators thermally induced interaction between rotor and stator," Journal of Mechanical Design102, 177-184.
26.
Lingener, A., 1995, "Experimental investigation of reverse whirl of a flexible rotor," University of Technology, Magdeburg, Department of Mechanical Engineering.
27.
Muszynska, A., 1993, "Thermal/mechanical effects of rotor-to-stator rubs in rotating machinery," ASME Vibration and Noise Conference , Albuquerque, New Mexico, September.
28.
Nathoo, N.S. and Crenwelge, O.E., 1983, "Case history of a steam turbine rotordynamic problem: theoretical versus experimental results," in Proceedings of Vibration Institute, Machinery Vibration Monitoring & Analysis, April, pp 81-89.
29.
Pavlovskaia, E.E., Karpenko, E.V., and Wiercigroch, M., 2004, "Non-linear dynamic interactions of a jeffcott rotor with preloaded snubber ring," Journal of Sound and Vibration276(1-2), 361-379.
30.
Popprath, S. and Ecker, H., 2007, "Nonlinear dynamics of a rotor contacting an elastically suspended stator," Journal of Sound and Vibration308(3-5), 767-784.
31.
Qin, W., Chen, G., and Meng, G., 2004, "Non-linear responses of a rub-impact overhung rotor," Chaos, Solitons & Fractals19, 1161-1172.
32.
Tariq, H., Chohan, G.Y., Ahmed, A., and Amir, M., 2002, "Study of rotor-casing interaction while passing through critical speed," in Proceedings of the 3rd International Symposium on Mechanical Vibrations (ISMV-2002), Islamabad , Pakistan, September, pp.1-11.
33.
Wu, F. and Flowers, G.T., 1993, "An experimental study of the influence of disk flexibility and rubbing on rotor dynamics," DE-Vol.60 , Vibrations of Rotating Systems, ASME Vibration and Noise Conference, Albuquerque, New Mexico, September, pp 19-26.
34.
Yu, J.J., Goldman, P., Bently, D.E., and Muzynska, A., 2002, "Rotor/seal experimental and analytical study on full annular rub," ASME Journal of Engineering for Gas Turbines and Power124, 340-350.
35.
Zhang, W.M. and Meng, G., 2006, "Stability, bifurcation and chaos of a high-speed rub-impact rotor system in MEMS," Sensors and Actuators A: Physical127(1), 163-178.
36.
Zhang, W., 1988, "Dynamic instability of multi-degree-of-freedom flexible rotor system due to full annular rub", in Proceedings of 4th International Conference on Vibrations in Rotating Machinery, Heriot-Watt University, Edinburgh, pp 305-310.
