Dynamical analysis of a QZS vibration isolator with time-delay control

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (13) : 49-55.

LI Donghai ZHAO Shougen He Yujin LI Tao

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Abstract

A quasi zero stiffness (QZS) vibration isolator can be realized through parallel connection of a positive stiffness and a negative one. Here, the dynamic features of a QZS vibration isolator composed of two oblique springs and a vertical spring under the simple harmonic excitation were studied. Introducing the linear displacement time-delay control strategy, the dynamic response characteristics of the system under the simple harmonic excitation were obtained with the averaging method. The first-order Lyapunov approximate stability theory and Routh–Hurwitz criterion were adopted to analyze the stability, jump phenomenon and Hopf bifurcation of the controlled system. The results showed that the time-delay control strategy can effectively improve the stability of the QZS vibration isolator; jump phenomenon and Hopf bifurcation can be avoided through choosing appropriate control parameters.

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quasi zero stiffness (QZS) / vibration isolator / time-delay control / stability / Hopf bifurcation

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LI Donghai ZHAO Shougen He Yujin LI Tao. Dynamical analysis of a QZS vibration isolator with time-delay control[J]. Journal of Vibration and Shock, 2018, 37(13): 49-55

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