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Dynamics of an AMB-rotor with time varying stiffness and mixed excitations
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
585-601
Authors:
Bauomy, H. S, Eissa, M, Kamel, M
DOI:
10.1007/s11012-011-9469-2
Journal:
MECCANICA SPRINGER
Volume:
47
Research Area:
Mechanics
ISSN
ISI:000299000000004
Keywords :
Time-varying stiffness, Multi-external, Parametric and tuned excitation, Nonlinearity, Chaos, Stability, Multiple-valued solutions, Jump phenomenon
Abstract:
A rotor- active magnetic bearing (AMB) system with a periodically time-varying stiffness subjected to multi- external, -parametric and -tuned excitations is studied and solved. The method of multiple scales is applied to analyze the response of the two modes of the system near the simultaneous sub-harmonic, super-harmonic and combined resonance case. The stability of the steady state solution near this resonance case is determined and studied applying Lyapunov's first method. Also, the system exhibits many typical nonlinear behaviors including multi-valued solutions, jump phenomenon, softening nonlinearities. The effects of the different parameters on the steady state solutions are investigated and discussed. Simulation results are achieved using MATLAB 7.0 program.
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