Journal
JOURNAL OF SOUND AND VIBRATION
Volume 259, Issue 4, Pages 845-856Publisher
ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD
DOI: 10.1006/jsvi.2002.5125
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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. (C) 2002 Elsevier Science Ltd. All rights reserved.
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