Nonlinear dynamics of a statically misaligned flexible rotor in active magnetic bearings

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 3, 2010, Pages 764-777

  Inayat Hussain, Jawaid I ^a  

^a Universiti Tenaga Nasional   (Malaysia)

Author keywords

Active magnetic bearings; Bifurcation; Chaos; Nonlinear; Rotordynamics

Indexed keywords

DYNAMICAL SYSTEMS; FUNCTIONS; MAGNETIC BEARINGS; MAGNETISM;

ACTIVE MAGNETIC BEARING; BIFURCATION; COIL CURRENT; FLEXIBLE ROTORS; NONLINEAR; NONLINEAR FUNCTIONS; NONSYNCHRONOUS VIBRATIONS; NUMERICAL RESULTS; ROTOR-BEARING SYSTEM; ROTORS DYNAMICS;

MAGNETIC ACTUATORS;

EID: 70349814617     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.04.020     Document Type: Article

References (17)

1. Hebbale KV, Taylor DL. Nonlinear dynamics of attractive magnetic bearings. In: Proceedings of the workshop on rotordynamic instability problems in high-performance turbomachinery, June 2-4. Texas A& M University, College Station, Texas, USA; 1986. p. 397-418.
2. Mohamed A.M., and Emad F.P. Nonlinear oscillations in magnetic bearing systems. IEEE Trans Automat Contr 38 (1993) 1242-1245
3. Virgin L.N., Walsh T.F., and Knight J.D. Nonlinear behavior of a magnetic bearing system. ASME J Eng Gas Turb Power 117 (1995) 582-588
4. Chinta M, Palazzolo AB, Kascak A. Quasiperiodic vibration of a rotor in a magnetic bearing with geometric coupling. In: Proceedings of the 5th international symposium on magnetic bearings, August 28-30, Kanazawa, Japan; 1996. p. 147-52.
5. Chinta M., and Palazzolo A.B. Stability and bifurcation of rotor motion in a magnetic bearing. J Sound Vib 215 (1998) 793-803
6. Steinschaden N, Springer H. Some nonlinear effects of magnetic bearings. In: Proceedings of DETC99, 17th biennial ASME vibrations conference, September 12-15, Las Vegas, Nevada, USA; 1999. p. 1-7.
7. Jang M.J., and Chen C.K. Bifurcation analysis in flexible rotor supported by active magnetic bearings. Int J Bifurc Chaos 11 (2001) 2163-2178
8. Ho Y.S., Liu H., and Yu L. Effect of thrust magnetic bearing on stability and bifurcation of a flexible rotor active magnetic bearing system. ASME J Vib Acoust 125 (2003) 307-316
9. Inayat-Hussain J.I. Geometric coupling effect on the bifurcations of a flexible rotor response in active magnetic bearings. Chaos Solitons Fract (2008) 10.1016/j.chaos.2008.09.041
10. Skricka N, Markert R. Influence of cross-axis sensitivity and coordinate coupling on self-sensing. In: Proceedings of the 6th international symposium on magnetic suspension technology, October 7-11. Politecnico di Torino, Turin, Italy; 2001. p. 179-84.
11. Skricka N., and Markert R. Improvements in the integration of active magnetic bearings. Control Eng Practice 10 (2002) 917-922
12. Marx S, Nataraj C. Suppression of base excitation of rotors on magnetic bearings. Int J Rotating Machinery, vol. 2007, Article ID 91276; 2007, 10 pp. doi:10.1155/2007/91276.
13. Inayat-Hussain J.I. Chaos via torus breakdown in the vibration response of a rigid rotor supported by active magnetic bearings. Chaos Solitons Fract 31 (2007) 912-927
14. Knight JD, Xia Z, McCaul EB. Forces in magnetic journal bearings: nonlinear computation and experimental measurement. In: Proceedings of the 3rd international symposium on magnetic bearings, July 29-31, Alexandria, Virginia, USA; 1992. p. 441-50.
15. Knight J.D., Xia Z., McCaul E.B., and Hacker Jr. H. Determination of forces in a magnetic bearing actuator: numerical computation with comparison to experiment. ASME J Tribol 114 (1992) 796-801
16. Ji J.C., and Hansen C.H. Hopf bifurcation of a magnetic bearing system with time delay. ASME J Vib Acoust 127 (2005) 362-369
17. Wolf A., Swift J.B., Swinney H.L., and Vastano J.A. Determining Lyapunov exponents from a time series. Physica D 16 (1985) 285-317