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Force transmissibility of a two-stage vibration isolation system with quasi-zero stiffness

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Abstract

A quasi-zero stiffness (QZS) vibration isolator outperforms other passive control strategies in vibration attenuation especially in a low-frequency band, but it also has an intrinsic limitation of low roll-off rate in the effective frequency range of vibration isolation. To overcome this limitation, a two-stage QZS vibration isolation system (VIS) is proposed, in which the QZS feature is realized by combining a vertical liner spring with two parallel cam–roller–spring mechanisms. Considering a possible disengagement between the cam and the roller under large amplitude vibration, a piecewise nonlinear dynamical model is developed and approximately solved by the averaging method. The analytical solutions for amplitude–frequency relationship and force transmissibility are derived. The results reveal that the two-stage QZS VIS has both advantages of low-frequency vibration isolation and high roll-off rate. It is also found that the second resonance can be eliminated when heavy damping is present in the upper stage, and hence, a broader effective frequency range of isolation can be achieved. High intermediate mass and soft vertical springs in the lower stage are also found to result in high-quality isolation performance.

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Acknowledgments

This research work was supported by National Natural Science Foundation of China (11572116), Specialized Research Fund for the Doctoral Program of Higher Education (20130161110037), Fundamental Research Funds for the Central Universities and Research Fund from China Ship Scientific Research Center. Part of this work is carried out during the second author’s visit to the University of Liverpool.

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Authors and Affiliations

  1. College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, People’s Republic of China

    Xinlong Wang, Jiaxi Zhou & Daolin Xu

  2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Changsha, 410082, People’s Republic of China

    Daolin Xu

  3. School of Engineering, University of Liverpool, Liverpool, L69 3GH, UK

    Huajiang Ouyang

  4. China Ship Scientific Research Center, Wuxi, 214082, People’s Republic of China

    Yong Duan

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  1. Xinlong Wang
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  2. Jiaxi Zhou
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  3. Daolin Xu
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  4. Huajiang Ouyang
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  5. Yong Duan
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Correspondence to Jiaxi Zhou.

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Wang, X., Zhou, J., Xu, D. et al. Force transmissibility of a two-stage vibration isolation system with quasi-zero stiffness. Nonlinear Dyn 87, 633–646 (2017). https://doi.org/10.1007/s11071-016-3065-x

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