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| Using delay to control band shift of nonlinear saturation control system |
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Abstract This paper analyzes the band shift caused by the deviation of internal resonance frequency of nonlinear saturation control system. The effects of delay on band shift and bandwidth are studied under consideration. Thus, the band shift can be controlled using an appropriate choice of the delay. The method of multiple scales is employed to obtain the analytical solutions when the primary resonance and 1:2 internal resonance occurs in the system simultaneously. From the examples illustrated, in the original system without delay, the frequency band shifts to the above and below of the primary resonance point caused by the deviation of internal resonance frequency. Moreover, the larger band shift is caused by the larger absolute value of deviation of internal resonance frequency. The performance of vibration suppression about the primary resonance point is reduced for the unreasonable distribution of frequency band. However, the band shift can be eliminated and the bandwidth can be enlarged using an appropriate choice of the delay according to the values of deviation of internal resonance frequency. The larger absolute value of deviation of internal resonance frequency, the more effects of the delay on the band shift and bandwidth will be. The conclusion of this paper provides qualitative and quantitative referenced value to control vibration in the nonlinear vibration system.
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Received: 18 March 2009
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2010, Vol. 31 
