Dynamics of a Flexible Beam With Active Nonlinear Magnetic Force

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 120, Issue 1, 1998, Pages 39-46

  Tseng, Chyuan Yow ^a   Tung, Pi Cheng ^b  

^a ORIENTAL INSTITUTE OF TECHNOLOGY   (Taiwan)

^b NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; EQUATIONS OF MOTION; FEEDBACK CONTROL; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

ACTIVE NONLINEAR MAGNETIC FORCE;

BEAMS AND GIRDERS;

EID: 0031646914     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2893825     Document Type: Article

References (17)

1. Akishita, S., Morimura, T., and Hanaguchi, S., 1990, “Vibration Control of Magnetically Suspended Flexible Rotor by the Use of Optimal Regulator,” Seiken Symposium, Tokyo, pp. 147-174.
2. Bornstein, K. R., 1991, “Dynamic Load Capabilities of Active Electromagnetic Bearings,” ASME Journal of Tribology, Vol. 313, pp. 598-603.
3. Bibikov, Y. N., 1979, “Local Theory of Nonlinear Analytic Ordinary Differential Equations,” Lecture Notes in Mathematics, Springer-Verlag, New York.
4. Carr, J., 1981, Applications of Center Manifold Theory, Springer-Verlag, New York.
5. Dangelmayr, G., and Guckenheimer, J., 1987, “On a Four Parameter Family of Planar Vector Fields,” Archive of Rational Mechanics and Analysis, Vol. 97, pp. 321-352.
6. Fujita, M., Matsumura, F., and Namerikawa, T., 1990, “µ-Analysis and Synthesis of a Flexible Beam Magnetic Suspension System,” Seiken Symposium, Tokyo, pp. 495-504.
7. Guckenheimer, J., and Holmes, P., 1985, Nonlinear Oscillations Dynamical System and Bifurcations of Vector Fields, Springer-Verlag, New York.
8. Holmes, P. J. 1981, “Dynamics of a Nonlinear Oscillator with Feedback Control: Local Analysis,” ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 107, pp. 159-165.
9. Khalil, H. K., 1992, Nonlinear System, MacMillan, New York.
10. Knight, J. D., Xia, Z., and McCaul, E., 1992, “Determination of Forces in a Magnetic Bearing Actuator: Numerical Computation with Comparison to Experiment,” ASME Journal of Tribology, Vol. 114, pp. 796-801.
11. Lee, C. W., and Kim, J. S., 1992, “Modal Testing and Suboptimal Vibration Control of Flexible Rotor Bearing System by Using a Magnetic Bearing” ASME Journal of Dynamics Systems, Measurement; and Control, Vol. 114, pp. 244-252.
12. Oshinoya, Y., and Shimogo, T., 1992, “Electromagnetic Levitation Control of a Traveling Steel Belt,” JSME Series III, Vol. 35, No. 1.
13. Rao Singiresu S., 1995, Mechanical Vibration, Addison-Wesley, New-York.
14. Salm, J. R., 1988, “Active Electromagnetic Suspension of an Elastic Rotor: Modeling, Control, and Experimental Results,” ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 110, pp. 493-500.
15. Shaw, S. W. and Wiggins, S., 1988, “Chaotic Dynamics of a Whirling Pendulum,” Physic a D31, pp. 190-211.
16. Shaw, S. W., 1985, “The Dynamics of a Harmonically Excited System Having Rigid Amplitude Constraints Part I: Subharmonic Motions and Local Bifurcations,” ASME Journal of Applied Mechanics, Vol. 52, pp. 453-458.
17. Youcef-Toumi, K., Reddy, S., and Vithiananthan, L, 1990, “A Digital Time Delay Controller for Active Magnetic Bearings,” 2nd International Symposium on Magnetic Bearings, July 12-14, Tokyo, Japan.