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An experiment investigation on the effect of Coulomb friction on the displacement transmissibility of a quasi-zero stiffness isolator

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Abstract

The effect of the Coulomb friction on a quasi-zero stiffness (QZS) isolator which configured by combining an Euler buckled beam negative stiffness corrector and a linear isolator is presented in this paper. Assuming friction damping provided by linear roller guider, the dynamic responses of the vibration isolation system and the equivalent linear one are obtained by using harmonic balance method (HBM). The static and dynamic characteristics of the QZS isolator are both investigated. For the linear isolator, the resonance frequency will increase and the peak transmissibility will decrease with the increasing of Coulomb friction or the decreasing of the excitation amplitude. However, in the case of QZS isolator, the natural frequency is decreased with the help of the negative stiffness mechanism and the amplification factor at the resonance is not obvious with the presence of the friction damping. Theory and experiment show good accordance. Therefore, it is recommend that one should add light Coulomb friction damping into the system to get better performance when using the QZS isolator in practice. The results present here can be a useful guideline when design such kind of vibration isolator.

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References

  1. W. Zhou, D. Li, Q. Luo and K. Liu, Analysis and testing of microvibrations produced by momentum wheel assemblies, Chinese Journal of Aeronautics, 25 (2012) 640–649.

    Article  Google Scholar 

  2. W. Li, H. Huang, X. Zhou, X. Zheng and B. Yang, Design and experiments of an active isolator for satellite microvibration, Chinese Journal of Aeronautics, 27 (2014) 1461–1468.

    Article  Google Scholar 

  3. C. Liu, X. Jing, S. Daley and F. Li, Recent advances in micro-vibration isolation, Mechanical Systems and Signal Processing, 56 (2015) 55–80.

    Article  Google Scholar 

  4. A. Carrella, M. J. Brennan and T. P. Waters, Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic, Journal of Sound and Vibration, 301 (3–5) (2007) 678–689.

    Article  Google Scholar 

  5. I. Kovacic, M. J. Brennan and T. P. Waters, A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic, Journal of Sound and Vibration, 315 (3) (2008) 700–711.

    Article  Google Scholar 

  6. D. L. Platus, Negative-stiffness-mechanism vibration isolation systems, SPIE—Vibration Control in Microelectronics, Optics and Metrology, 1619 (1991) 44–54.

    Google Scholar 

  7. X. Liu, X. Huang and H. Hua, On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector, Journal of Sound and Vibration, 332 (14) (2013) 3359–3376.

    Article  Google Scholar 

  8. X. Huang, X. Liu and H. Hua, Effects of stiffness and load imperfection on the isolation performance of a high-static-low-dynamic-stiffness non-linear isolator under base displacement excitation, International Journal of Non-Linear Mechanics, 65 (2014) 32–43.

    Article  Google Scholar 

  9. A. Carrella, M. I. Friswell, A. Pirrera and G. S. Aglietti, Numerical and experimental analysis of a square bistable plate, Behaviour, 14 (2008) 16.

    Google Scholar 

  10. A. D. Shaw, S. A. Neild, D. J. Wagg, P. M. Weaver and A. Carrella, A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation, Journal of Sound and Vibration, 332 (24) (2013) 6265–6275.

    Article  Google Scholar 

  11. Z. Lu, T. Yang, M. J. Brennan, Z. Liu and L. Q. Chen, Experimental investigation of a two-stage nonlinear vibration isolation system with high-static-low-dynamic stiffness, Journal of Applied Mechanics, 84 (2) (2016) 021001.

    Article  Google Scholar 

  12. X. Wang, J. Zhou, D. Xu, H. Ouyang and Y. Duan, Force transmissibility of a two-stage vibration isolation system with quasi-zero stiffness, Nonlinear Dynamics, 87 (1) (2017) 633–646.

    Article  Google Scholar 

  13. J. Zhou, X. Wang, D. Xu and S. Bishop, Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam-roller-spring mechanisms, Journal of Sound and Vibration, 346 (2015) 53–69.

    Article  Google Scholar 

  14. J. Zhou, Q. Xiao, D. Xu, H. Ouyang and Y. Li, A novel quasi-zero-stiffness strut and its applications in six-degree-of-freedom vibration isolation platform, Journal of Sound and Vibration, 349 (2017) 57–74.

    Google Scholar 

  15. X. Gao and Q. Chen, Static and dynamic analysis of a high static and low dynamic stiffness vibration isolator utilising the solid and liquid mixture, Engineering Structures, 99 (2015) 205–213.

    Article  Google Scholar 

  16. X. Sun, X. Jing, J. Xu and L. Cheng, Vibration isolation via a scissor-like structured platform, Journal of Sound and Vibration, 333 (9) (2014) 2404–2420.

    Article  Google Scholar 

  17. T. Zhu, B. Cazzolato, W. S. P. Robertson and A. Zander, Vibration isolation using six degree-of-freedom quasi-zero stiffness magnetic levitation, Journal of Sound and Vibration, 358 (2015) 48–73.

    Article  Google Scholar 

  18. D. Xu, Q. Yu, J. Zhou and S. R. Bishop, Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic, Journal of Sound and Vibration, 332 (14) (2013) 3377–3389.

    Article  Google Scholar 

  19. C. C. Lan, S. A. Yang and Y. S. Wu, Design and experiment of a compact quasi-zero-stiffness isolator capable of a wide range of loads, Journal of Sound and Vibration, 333 (20) (2014) 4843–4858.

    Article  Google Scholar 

  20. C. Cheng, S. Li, Y. Wang and X. Jiang, Force and displacement transmissibility of a quasi-zero stiffness vibration isolator with geometric nonlinear damping, Nonlinear Dynamics, 87 (4) (2017) 2267–2279.

    Article  Google Scholar 

  21. H. J. Ahn, S. H. Lim and C. K. Park, An integrated design of quasi-zero stiffness mechanism, Journal of Mechanical Science and Technology, 30 (3) (2016) 1071–1075.

    Article  Google Scholar 

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Authors and Affiliations

  1. Laboratory of Space Mechanical and Thermal Integrative Technology, Shanghai Institute of Satellite Engineering, Shanghai, 201109, China

    Xingtian Liu, Qiang Zhao & Xubin Zhou

  2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, China

    Zhiyi Zhang

Authors
  1. Xingtian Liu
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  2. Qiang Zhao
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  3. Zhiyi Zhang
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  4. Xubin Zhou
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Correspondence to Xingtian Liu.

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Recommended by Associate Editor Sungsoo Na

Liu Xingtian received his B.S. and Ph.D. degrees from Dalian University of Technology and Shanghai Jiao Tong University, China in 2007 and 2013, respectively. Dr. Liu is currently working at Shanghai Institute of Satellite Engineering (SISE). Dr. Liu’s research interests include structure design of spacecraft and vibration control.

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Liu, X., Zhao, Q., Zhang, Z. et al. An experiment investigation on the effect of Coulomb friction on the displacement transmissibility of a quasi-zero stiffness isolator. J Mech Sci Technol 33, 121–127 (2019). https://doi.org/10.1007/s12206-018-1212-7

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  • DOI: https://doi.org/10.1007/s12206-018-1212-7

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