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Nonlinear Oscillation of a Rotor-AMB System With Time Varying Stiffness and Multi-External Excitations
Faculty
Science
Year:
2009
Type of Publication:
Article
Pages:
Authors:
Bauomy, H. S, Kamel, M
DOI:
10.1115/1.3085884
Journal:
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME ASME-AMER SOC MECHANICAL ENG
Volume:
131
Research Area:
Acoustics; Engineering; Mechanics
ISSN
ISI:000265527000009
Keywords :
elastic constants, magnetic bearings, nonlinear differential equations, oscillations, rotors, Runge-Kutta methods, time-varying systems
Abstract:
The rotor-active magnetic bearing system subjected to a periodically time-varying stiffness having quadratic and cubic nonlinearities is studied and solved. The multiple time scale technique is applied to solve the nonlinear differential equations governing the system up to the second order approximation. All possible resonance cases are deduced at this approximation and some of them are confirmed by applying the Rung-Kutta method. The main attention is focused on the stability of the steady-state solution near the simultaneous principal resonance and the effects of different parameters on the steady-state response. A comparison is made with the available published work.
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