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Stability analysis of a rotor-AMB system with time varying stiffness
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
1871-1890
Authors:
Bauomy, H. S
DOI:
10.1016/j.jfranklin.2012.02.012
Journal:
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS PERGAMON-ELSEVIER SCIENCE LTD
Volume:
349
Research Area:
Automation \& Control Systems; Engineering; Mathematics
ISSN
ISI:000304631500015
Keywords :
Stability analysis , , rotor-AMB system with time
Abstract:
A rotor-active magnetic bearing (AM B) system subjected to a periodically time-varying stiffness with quadratic and cubic nonlinear under tuned, and external excitation is studied. The method of multiple scales is applied to analyze the response of two modes of a rotor-AM B system near the simultaneous combined and sub-harmonic resonance. The stability of the steady-state solution for that resonance is determined and studied applying Rung-Kutta fourth order method. It is shown that the system exhibits many typical nonlinear behaviors, including multiple-valued solutions, jump phenomenon, hardening and softening nonlinear and chaos in the second mode of the system. The effects of the different parameters on the steady-state solutions are investigated and discussed. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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