Analysis of nonlinear dynamics for a rotor-active magnetic bearing system with time-varying stiffness, Part I. Formulation and local bifurcations

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

Volumn 116, Issue 2, 2003, Pages 631-640

  Zhang, Wei ^a   Zu, Jean W ^b  

^a BEIJING UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DEGREES OF FREEDOM (MECHANICS); EDDY CURRENTS; MAGNETIC BEARINGS; NONLINEAR SYSTEMS; OSCILLATIONS; STIFFNESS; TIME VARYING SYSTEMS; TWO TERM CONTROL SYSTEMS;

ACTIVE MAGNETIC BEARINGS (AMB); TIME VARYING STIFFNESS;

ROTORS;

EID: 1942472004     PISSN: 15214613     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2003-42213     Document Type: Conference Paper

References (16)

1. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations, Wiley-Interscience, New York, 1979.
2. A. K. Bajaj, Bifurcations in a parametrically excited nonlinear oscillator, Int. J. Non-Linear Mech. 22, p47-59, 1987.
3. W. Zhang and Q. Z Huo, Bifurcations of nonlinear oscillation system under combined parametric and forcing excitation, Acta Mechanica Sinica 23, p464-474, 1991.
4. W. Zhang and M. Ye, Local and global bifurcations of valve mechanism, Nonlinear Dynamics 6, p301-316, 1994.
5. W. Zhang, Further studies for nonlinear dynamics of one dimensional crystalline beam, Acta Physica Sinica (Overseas Edition) 5, p409-422, 1996.
6. K. W. Wang and J. S. Lai, Parametric control of structural vibrations via adaptable stiffness dynamic absorbers, ASME Journal of Vibration and Acoustics 118, p41-47, 1996.
7. A. M. Mohamed and F. P. Emad, Nonlinear oscillations in magnetic bearing system, IEEE Transactions on Automatic Control 38, p1242-1245, 1993.
8. L. N. Virgin, T. F. Walsh and J. D. Knight, Nonlinear behavior of a magnetic bearing system, ASME Journal of Engineering for Gas Turbines and Power 117, p582-588, 1995.
9. M. Chinta and A. B. Palazzolo, Stability and bifurcation of rotor motion in a magnetic bearing, Journal of Sound and Vibration 214, p793-803, 1998.
10. X. Wang and S. Noah, Nonlinear dynamics of a magnetically supported rotor on safety auxiliary bearings, ASME Journal of Vibration and Acoustics 120, p596-606, 1998.
11. J. C. Ji, L.Yu and A.Y. T. Leung, Bifurcation behavior of a rotor by active magnetic bearings, Journal of Sound and Vibration 235, p133-151, 2000.
12. J. C. Ji and C. H. Hansen, Nonlinear oscillations of a rotor in active magnetic bearings, Journal of Sound and Vibration 240, p599-612, 2001.
13. C. B. Wen, J. L. Gu, S. B. Xia and Z. Wang, Advanced Dynamics of Rotor, China Machine Industry Press, Beijing, 2000.
14. R. Siegwart, Design and application of active magnetic bearing (AMB) for vibration control, von Karman Institute Fluid Dynamics Lecture Series 1992-06, Vibration and Rotor Dynamics, 1992.
15. H. E. Nusse and J. A. Yorke, Dynamics: Numerical Explorations, Springer-Verlag, New York, Berlin, 1997.
16. W. Zhang, Jean W. Zu and F. X. Wang, Analysis of Nonlinear Dynamics for a Rotor-Active Magnetic Bearing System with Time-Varying Stiffness, II. Global Bifurcations and Chaotic Dynamics, to be published.