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TECHNICAL PAPERS

Nonlinear Dynamic Analysis of a Rotor Shaft System With Viscoelastically Supported Bearings

[+] Author and Article Information
Nabeel Shabaneh, Jean W. Zu

Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8

J. Vib. Acoust 125(3), 290-298 (Jun 18, 2003) (9 pages) doi:10.1115/1.1547684 History: Received February 01, 2002; Revised October 01, 2002; Online June 18, 2003
Copyright © 2003 by ASME
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References

Darlow, M., and Zorzi, E., 1981, Mechanical Design Handbook of Elastomers, NASA CR3423.
Dutt,  J. K., and Nakra,  B. C., 1992, “Stability of Rotor Systems with Viscoelastic Supports,” J. Sound Vib., 153(1), pp. 89–96.
Dutt,  J. K., and Nakra,  B. C., 1993, “Vibration Response Reduction of a Rotor Shaft System Using Viscoelastic Polymeric Supports,” ASME J. Vibr. Acoust., 115, pp. 221–223.
Dutt,  J. K., and Nakra,  B. C., 1995, “Dynamics of Rotor Shaft System on Flexible Supports with Gyroscopic Effects,” Mech. Res. Commun., 22(6), pp. 541–545.
Kulkarni,  P., Pannu,  S., and Nakra,  B. C., 1993, “Unbalance Response and Stability of a Rotating System with Viscoelastically Supported Bearings,” Mech. Mach. Theory, 28(3), pp. 427–436.
Shabaneh, N. H., and Zu, Jean W., 1999, “Vibration Analysis of Viscoelastically Supported Rotor-Bearing Systems,” Asia-Pacific Vibration Conference 1999 (A-PVC’99), Singapore, December.
Shabaneh,  N. H., and Zu,  Jean W., 2000, “Dynamic Analysis of Rotor-Shaft Systems with Viscoelastically Supported Bearings,” Mech. Mach. Theory, 35(9), pp. 1313–1330.
Shabaneh,  N. H., and Zu,  Jean W., 2000, “Dynamic and Stability Analysis of Rotor-Shaft Systems with Viscoelastically Supported Bearings,” Trans. Can. Soc. Mech. Eng., 24(1B), pp. 179–189.
Yamamoto,  T., Yasuda,  K., and Nagasaka,  I., 1976, “Ultra-Subharmonic Oscillations in a Nonlinear Vibratory System,” Bull. JSME, 19(138), pp. 1442–1447.
Ji,  Z., and Zu,  J. W., 1998, “Method of Multiple Scales for Vibration Analysis of Rotor-Shaft Systems with Non-Linear Bearing Pedestal Model,” J. Sound Vib., 218(2), pp. 293–305.
Bhattacharyya,  K., and Dutt,  J. K., 1997, “Unbalance Response and Stability Analysis of Horizontal Rotor Systems Mounted on Nonlinear Rolling Element Bearings with Viscoelastic Supports,” ASME J. Vibr. Acoust., 119, pp. 539–544.
Nayfeh,  A. H., Nayfeh,  J. F., and Mook,  D. T., 1992, “On Methods for Continuous Systems with Quadratic and Cubic Nonlinearities,” Nonlinear Dyn. 3, pp. 145–162.
Nayfeh, A. H., 1981, Introduction to Perturbation Techniques, Wiley, New York.
Yamamoto, Toshio, and Ishida, Yukio, 2001, Linear and Nonlinear Rotordynamics: A Modern Treatment with Applications, Wiley Series in Nonlinear Science.

Figures

Grahic Jump Location
Rotor shaft system with viscoelastically supported bearings
Grahic Jump Location
Waveform of the transverse deflection for various values of bearing nonlinear elastic coefficient kb3
Grahic Jump Location
Free frequency of the nonlinear system versus amplitudes for various values of bearing nonlinear elastic coefficient kb3
Grahic Jump Location
Free frequency of the nonlinear system versus amplitudes for various values of internal viscous damping coefficient Ci of the shaft
Grahic Jump Location
Free frequency of the nonlinear system versus amplitudes for higher values of internal viscous damping coefficient Ci of the shaft
Grahic Jump Location
Frequency response curves for various values of the bearing nonlinear elastic coefficient kb3

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