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Nonlinear behavior of a rotor-AMB system under multi-parametric excitations
Faculty
Science
Year:
2010
Type of Publication:
Article
Pages:
7-22
Authors:
Bauomy, H. S, Kamel, M
DOI:
10.1007/s11012-009-9213-3
Journal:
MECCANICA SPRINGER
Volume:
45
Research Area:
Mechanics
ISSN
ISI:000273469400002
Keywords :
Rotor-active magnetic bearing, Time-varying stiffness, Multi-parametric excitations, Stability, Multiple-valued solutions, Jump phenomenon
Abstract:
A rotor-active magnetic bearing (AMB) system subjected to a periodically time-varying stiffness with quadratic and cubic nonlinearities under multi-parametric excitations is studied and solved. The method of multiple scales is applied to analyze the response of two modes of a rotor-AMB system with multi-parametric excitations and time-varying stiffness near the simultaneous primary and internal resonance. The stability of the steady state solution for that resonance is determined and studied using Runge-Kutta method of fourth order. It is shown that the system exhibits many typical non-linear behaviors including multiple-valued solutions, jump phenomenon, hardening and softening non-linearities and chaos in the second mode of the system. The effects of the different parameters on the steady state solutions are investigated and discussed also. A comparison to published work is reported.
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