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TECHNICAL PAPERS

A Mechanism of Low Subharmonic Response in Rotor/Stator Contact—Measurements and Simulations

[+] Author and Article Information
Götz von Groll, David J. Ewins

Department of Mechanical Engineering, Imperial College of Science, Technology and Medicine, London SW7 2BX, United Kingdom

J. Vib. Acoust 124(3), 350-358 (Jun 12, 2002) (9 pages) doi:10.1115/1.1467648 History: Received June 01, 2001; Revised January 01, 2002; Online June 12, 2002
Copyright © 2002 by ASME
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References

Ehrich,  Fredric F., 1988, “High Order Subharmonic Response of High Speed Rotors in Bearings Clearance,” ASME J. Vibr. Acoust., 110(1), pp. 9–16.
Ehrich, Fredric F., 1989, “A State-of-the-Art Survey in Rotor Dynamics—Nonlinear and Self-Excited Vibration Phenomena,” Proceedings of the Second International Symposium on Transport Phenomena, Dynamics, and Design of Rotating Machinery, Part II, pp. 3–25, Honolulu, April.
Childs,  Dara W., 1982, “Fractional-Frequency Rotor Motion due to Nonsymmetric Clearance Effects,” ASME J. Eng. Power, 104(3), pp. 536–541, July.
Géradin, M., and Kill, N., 1988, “Non-Linear Dynamic Analysis of Flexible Rotors,” Fourth International Conference on Vibrations in Rotating Machinery, pp. 627–634, Institution of Mechanical Engineers, UK.
Choi,  Yeon-Sun, and Noah,  Sherif T., 1987, “Nonlinear Steady-State Response of a Rotor Support System,” ASME J. Vibr. Acoust., 109(1), pp. 255–261.
von Groll,  Götz, and Ewins,  David J., 2001, “The Harmonic Balance Method with Arc-Length Continuation in Rotor/Stator Contact Problems,” J. Sound Vib., 241(2), pp. 223–233.
Sundararajan,  P., and Noah,  S. T., 1997, “Dynamics of Forced Nonlinear Systems Using Shooting/Arc-Length Continuation Method—Application to Rotor Systems,” ASME J. Vibr. Acoust., 119, pp. 9–20.
Goldman, Paul, and Muszynska, Agnes, 1993, “Chaotic Behavior of Rotor/Stator Systems with Rubs,” ASME Paper, 93-GT-387.
Fumagalli, M., and Schweitzer, G., 1996, “Measurements on a Rotor Contacting Its Housing,” Sixth International Conference on Vibrations in Rotating Machinery, pp. 779–788, Oxford, September, Institution of Mechanical Engineers, UK.
von Groll, Götz, and Ewins, David J., 2000, “On the Dynamics of Windmilling in Aero-Engines,” Seventh International Conference on Vibrations in Rotating Machinery, Nottingham, September, Institution of Mechanical Engineers, UK.
Ascher, Uri, Mattheij, Robert, and Russel, Robert, 1995, Numerical Solutions of Boundary Value Problems for ODEs, SIAM.
Wegener, Georg, and Markert, Richard, 1998/1999, “Vibro-impact Phenomena in the Dynamics of Elastic Rotors with Retainer Bearings,” Proceedings of the EUROMECH Colloquium 386, Springer.
Hunt,  K. H., and Crossley,  F. R. E., 1975, “Coefficient of Restitution, Interpreted as Damping in Vibroimpact,” ASME J. Appl. Mech., pp. 440–445, June.

Figures

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A Jeffcott rotor with stator
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Force-displacement characteristics
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Rotor/stator interaction for friction>0
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Instability and its remedy
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Rotor and stator assembly in overhung configuration
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Measured periodic vibrations at 1/11Ω
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Measured quasi-periodic vibrations at ≈1/23Ω
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Measured periodic vibrations at 1/4 Ω
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Measured quasi-periodic vibrations at ≈1/32 Ω
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Orbits in of time-marching solutions at steady speeds
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Spectra of time-marching solutions at steady speeds

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