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A high-static–low-dynamic-stiffness vibration isolator with the auxiliary system

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Abstract

High-static–low-dynamic-stiffness (HSLDS) vibration isolators seek to widen the frequency range of isolation by decreasing the dynamic stiffness so as to reduce the natural frequency, while maintaining the same static displacement as equivalent linear isolators. However, in many cases especially under light damping or large excitations, the peak transmissibility is very large and the hardening nonlinearity causes the transmissibility curve to bend to the right seriously or in other words causes the jump phenomenon, resulting in a greatly reduced isolation region. In this paper, an auxiliary system is added to the HSLDS isolator to overcome these disadvantages, with the static displacement of the isolation object remaining unchanged. Coefficient-varying harmonic balance method is proposed in this paper to find the dynamic response and most importantly analyze the stability of the steady-state response. The isolation performance of the HSLDS-AS isolator, which is evaluated by displacement transmissibility, is compared with that of the equivalent HSLDS isolator. The effects of system parameters on the isolation performance are investigated. It is shown that the auxiliary system can lower the peak transmissibility and eliminate the jump phenomenon, resulting in a wide isolation region, and the HSLDS-AS isolator has strong designability with many parameters tunable.

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References

  1. Carrella, A.: Passive vibration isolators with high-static–low-dynamic stiffness. Ph.D. Thesis, ISVR, University of Southampton, United Kingdom (2008)

  2. Ibrahim, R.A.: Recent advances in nonlinear passive vibration isolators. J. Sound Vib. 314, 371–452 (2008)

    Article  Google Scholar 

  3. Ahn, H.J.: Performance limit of a passive vertical isolator using a negative stiffness mechanism. J. Mech. Sci. Technol. 22, 2357–2364 (2008)

    Article  Google Scholar 

  4. Kim, K.R., You, Y.H., Ahn, H.J.: Optimal design of a QZS isolator using flexures for a wide range of payload. Int. J. Precis. Eng. Manuf. 14, 911–917 (2013)

    Article  Google Scholar 

  5. Carrella, A., Brennan, M.J., Waters, T.P.: Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic. J. Sound Vib. 301, 678–689 (2007)

    Article  Google Scholar 

  6. Carrella, A., Brennan, M.J., Kovacic, I., Waters, T.P.: On the force transmissibility of a vibration isolator with quasi-zero-stiffness. J. Sound Vib. 322, 707–717 (2009)

    Article  Google Scholar 

  7. Carrella, A., Brennan, M.J., Waters, T.P., Lopes Jr., V.: Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness. Int. J. Mech. Sci. 55, 22–29 (2012)

    Article  Google Scholar 

  8. Carrella, A., Friswell, M.I., Zotov, A., Ewins, D.J., Tichonov, A.: Using nonlinear springs to reduce the whirling of a rotating shaft. Mech. Syst. Signal Process. 23, 2228–2235 (2009)

    Article  Google Scholar 

  9. Kovacic, I., Brennan, M.J., Waters, T.P.: A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic. J. Sound Vib. 315, 700–711 (2008)

    Article  Google Scholar 

  10. Lan, C.C., Yang, S.A., Wu, Y.S.: Design and experiment of a compact quasi-zero-stiffness isolator capable of a wide range of loads. J. Sound Vib. 333, 4843–4858 (2014)

    Article  Google Scholar 

  11. Shaw, A.D., Neild, S.A., Wagg, D.J., Weaver, P.M., Carrella, A.: A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation. J. Sound Vib. 332, 6265–6275 (2013)

    Article  Google Scholar 

  12. Huang, X.C., Liu, X.T., Hua, H.X.: On the characteristics of an ultra-low frequency nonlinear isolator using sliding beam as negative stiffness. J. Mech. Sci. Technol. 28, 813–822 (2014)

    Article  Google Scholar 

  13. Huang, X.C., Liu, X.T., Sun, J.Y., Zhang, Z.Y., Hua, H.X.: Effect of the system imperfections on the dynamic response of a high-static-low-dynamic stiffness vibration isolator. Nonlinear Dyn. 76, 1157–1167 (2014)

    Article  MathSciNet  Google Scholar 

  14. Peng, C., Gong, X.L., Zong, L.H., Guo, C.Y., Yan, Q.F., Zhou, H.: Design and tests for a new type nonlinear low-frequency passive vibration isolation system. J. Vib. Shock 32, 6–11 (2013). (in Chinese)

    Google Scholar 

  15. Wu, Z.J., Jing, X.J., Bian, J., Li, F.M., Allen, R.: Vibration isolation by exploring bio-inspired structural nonlinearity. Bioinspir. Biomin. 10, 1748–3190 (2015)

    Google Scholar 

  16. Wu, Z.J., Jing, X.J., Sun, B., Li, F.M.: A 6DOF passive vibration isolator using X-shape supporting structures. J. Sound Vib. 380, 90–111 (2016)

    Article  Google Scholar 

  17. Sun, X.T., Jing, X.J.: A nonlinear vibration isolator achieving high-static-low-dynamic stiffness and tunable anti-resonance frequency band. Mech. Syst. Signal. Process. 80, 166–188 (2016)

    Article  Google Scholar 

  18. Robertson, W.S., Kidner, M.R.F., Cazzolato, B.S., Zander, A.C.: Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation. J. Sound Vib. 326, 88–103 (2009)

    Article  Google Scholar 

  19. Xu, D.L., Yu, Q.P., Zhou, J.X., Bishop, S.R.: Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic. J. Sound Vib. 332, 3377–3389 (2013)

    Article  Google Scholar 

  20. Wu, W.J., Chen, X.D., Shan, Y.H.: Analysis and experiment of a vibration isolator using a novel magnetic spring with negative stiffness. J. Sound Vib. 333, 2958–2970 (2014)

    Article  Google Scholar 

  21. Li, Q., Zhu, Y., Xu, D.F., Hu, J.C., Min, W., Pang, L.C.: A negative stiffness vibration isolator using magnetic spring combined with rubber membrane. J. Mech. Sci. Technol. 27, 813–824 (2013)

    Article  Google Scholar 

  22. Shin, K.H.: On the performance of a single degree-of-freedom high-static-low-dynamic stiffness magnetic vibration isolator. Int. J. Precis. Eng. Manuf. 15, 439–445 (2014)

    Article  Google Scholar 

  23. Dong, G.X., Zhang, X.N., Xie, S.L., Yan, B., Luo, Y.J.: Simulated and experimental studies on a high-static-low-dynamic stiffness isolator using magnetic negative stiffness spring. Mech. Syst. Signal. Process. 86, 188–203 (2017)

    Article  Google Scholar 

  24. Lu, Z.Q., Brennan, M.J., Yang, T.J., Li, X.H., Liu, Z.G.: An investigation of a two-stage nonlinear vibration isolation system. J. Sound Vib. 332, 1456–1464 (2013)

    Article  Google Scholar 

  25. Wang, X.L., Zhou, J.X., Xu, D.L., Ouyang, H.J., Duan, Y.: Force transmissibility of a two-stage vibration isolation system with quasi-zero stiffness. Nonlinear Dyn. 87, 633–646 (2017)

    Article  Google Scholar 

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Acknowledgements

The authors would like to thank Prof. Zhao for the helpful suggestions on the results presented in this paper.

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Authors and Affiliations

  1. Department of Astronautic Science and Mechanics, Harbin Institute of Technology, No. 92 West Dazhi Street, Harbin, 150001, China

    Chaoran Liu & Kaiping Yu

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  1. Chaoran Liu
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  2. Kaiping Yu
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Correspondence to Kaiping Yu.

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Liu, C., Yu, K. A high-static–low-dynamic-stiffness vibration isolator with the auxiliary system. Nonlinear Dyn 94, 1549–1567 (2018). https://doi.org/10.1007/s11071-018-4441-5

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