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Resonance behavior of a rotor-active magnetic bearing with time-varying stiffness
Faculty
Science
Year:
2007
Type of Publication:
Article
Pages:
1328-1345
Authors:
Amer, Y. A, Hegazy, U. H
DOI:
10.1016/j.chaos.2006.04.040
Journal:
CHAOS SOLITONS \& FRACTALS PERGAMON-ELSEVIER SCIENCE LTD
Volume:
34
Research Area:
Mathematics; Physics
ISSN
ISI:000247525100032
Keywords :
Resonance behavior , , rotor-active magnetic bearing with
Abstract:
The non-linear dynamic behavior of a rigid disc-rotor supported by active magnetic bearings (AMB) is investigated, without gyroscopic effects. The rotor-AMB system is subjected to a periodically time-varying stiffness. The simultaneous primary resonance case is considered and examined. The vibration of the rotor is modeled by a coupled second-order non-linear ordinary differential equations with quadratic and cubic non-linearities. Their approximate solutions are sought applying the method of multiple scales. The steady-state response and the stability of the system at the simultaneous primary resonance case for various parameters are studied numerically, applying the frequency response function method. It is found that different shapes of chaotic motion exist, which are determined using phase-plane method. It is also shown that the system parameters have different effects on the non-linear response of the rotor. For steady-state response, however, multiple-valued solutions, jump phenomenon, hardening and softening non-linearity occur. Results are compared to previously published work. (c) 2006 Elsevier Ltd. All rights reserved.
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