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STABILITY AND HOPF BIFURCATION OF A MAGNETIC BEARING SYSTEM WITH TIME DELAYS
- Source :
-
Journal of Sound & Vibration . Jan2003, Vol. 259 Issue 4, p845. 12p. - Publication Year :
- 2003
-
Abstract
- The effect of time delays occurring in the feedback control loop on the linear stability of a simple magnetic bearing system is investigated by analyzing the associated characteristic transcendental equation. It is found that a Hopf bifurcation can take place when time delays pass certain values. The direction and stability of the Hopf bifurcation are determined by constructing a center manifold and by applying the normal form method. It is also found that a codimension two bifurcation can occur through a Hopf and a steady state bifurcation interaction. Finally, numerical simulations are performed to verify the analytical predictions. [Copyright &y& Elsevier]
- Subjects :
- *TIME delay systems
*VIBRATION (Mechanics)
Subjects
Details
- Language :
- English
- ISSN :
- 0022460X
- Volume :
- 259
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Sound & Vibration
- Publication Type :
- Academic Journal
- Accession number :
- 8805390
- Full Text :
- https://doi.org/10.1006/jsvi.2002.5125