Dynamic analysis of a high-static-low-dynamic stiffness vibration isolator with time delayed cubic displacement feedback

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (13) : 110-115.

Cheng Chun, Li Shunming, Wang Yong, Jiang Xingxing

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Abstract

In order to overcome the dilemma that increasing the linear damping can suppress the resonance but makes the vibration isolation performance in high frequencies worse, the cubic displacement feedback with time delay is proposed in this paper. The dynamic equation of the high-static-low-dynamic stiffness (HSLDS) vibration isolator with feedback control is first built. And the steady-state response of the controlled system is obtained using the multiple scales method. Then, the effect of feedback gain and time delay on the dynamic characteristics of the controlled system is studied. And the steady-state responses with different time delays are also investigated. Finally, the displacement transmissibility of the controlled HSLDS vibration isolator is defined and compared with that of the passive counterpart. The effect of feedback parameters on the displacement transmissibility of the controlled system is analyzed. The results show that appropriate choice of feedback parameters can effectively reduce the displacement transmissibility in resonant region with the isolation performance in high frequencies unaffected. Besides, such control strategy has theoretical guiding significance for improving the isolation performance of the HSLDS vibration isolator.

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vibration isolator / high-static-low-dynamic stiffness / time-delayed feedback / multiple scales method

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Cheng Chun, Li Shunming, Wang Yong, Jiang Xingxing. Dynamic analysis of a high-static-low-dynamic stiffness vibration isolator with time delayed cubic displacement feedback[J]. Journal of Vibration and Shock, 2017, 36(13): 110-115

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