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NONLINEAR BEHAVIOR OF TUNED ROTOR-AMB SYSTEM WITH TIME VARYING STIFFNESS
Faculty
Science
Year:
2011
Type of Publication:
Article
Pages:
195-207
Authors:
Bauomy, H. S, Eissa, M, Kamel, M
DOI:
10.1142/S0218127411028362
Journal:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS WORLD SCIENTIFIC PUBL CO PTE LTD
Volume:
21
Research Area:
Mathematics; Science \& Technology - Other Topics
ISSN
ISI:000288508200010
Keywords :
Time-varying stiffness, 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 tuned and external excitations is studied and solved. The tuned excitation represents an imposed noise on the external excitation to simulate the practical case. The method of multiple scales is applied to analyze the response of the system two modes near the simultaneous combined and primary resonance cases. The stability of the steady state solution near this resonance case is studied applying Lyapunov's first method. The system exhibits many typical nonlinear behaviors including multiple-valued solutions, jump phenomenon, softening nonlinearity and saturation. The presence of the tuned excitation increased the steady state amplitudes and produced a chaotic system. The effects of the different parameters on the steady state solutions are investigated and discussed. Comparison with previous work is reported.
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