Abstract
The purpose of this paper is to investigate the vibration characteristics and motion of random magnetic bearing systems with narrow band noise. Firstly, the multiple scale method is used to obtain the averaged equations. Secondly, it is found that there exist different motions with the various excitation forces and permeability values by the bifurcation diagram and maximum Lyapunov exponent based on the resulting average equations. Finally, the influence of narrow-band excitation on magnetic bearings is verified, and the conclusion shows that the thickness of the limit cycle increases gradually as the bandwidth of narrow-band excitation changes in a small range.
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