&nbsp;Primary resonance of MR damper&mdash;stay cable control systems with time delay

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (11) : 186-190.

Primary resonance of MR damper—stay cable control systems with time delay

PENG Jian1 HU Xia1 XIE Xian-zhong1 WANG Lian-hua2

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Abstract

Based on Hamilton principle, the nonlinear motion equations of MR damper-stay cable systems with time delay is obtained. The bifurcation responses of the delay system are derived by Galerkin method and the method of multiple scale; the approximate expressions of the primary resonance and the peak of the response amplitude with time delay are obtained. To illustrate the characteristics of the primary resonance, the effects of major parameters on the response of the system are studied, such as, the time delay, feedback gains and external excitation. The numerical results show that the frequency-response curves of the controlled system have jump and hysteresis, and the response amplitude increases along with the time delay, feedback gain and external excitation amplitude; Observed a positive correlation between The peak amplitude of the primary resonance response and time delay, and the time delay reaches a certain value, the peak was significantly increased.

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MR damper / stay cable / time delay / primary resonance

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PENG Jian1 HU Xia1 XIE Xian-zhong1 WANG Lian-hua2. Primary resonance of MR damper—stay cable control systems with time delay[J]. Journal of Vibration and Shock, 2016, 35(11): 186-190

References

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