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Nonlinear Dynamics

, Volume 92, Issue 3, pp 1167–1184 | Cite as

Nonlinear dynamic characteristics of a micro-vibration fluid viscous damper

  • Xiaolei Jiao
  • Yang Zhao
  • Wenlai Ma
Original Paper

Abstract

This study is concerned with the nonlinear dynamic characteristics of a micro-vibration fluid viscous damper used in a satellite. When a control moment gyroscope is working, it produces micro-vibrations, which is a disadvantage for imaging equipment. Taking a single-tube micro-vibration fluid viscous damper as our research subject, a nonlinear dynamic model of the micro-vibration fluid viscous damper under harmonic excitation is proposed. Then, the analytical form of the pressure gradient force is derived. Considering the entrance effect in the orifice, the nonlinear elastic force and nonlinear damping force are analyzed. The results reveal that if the entrance effect is not considered, the elastic force and damping force are linear forces. When the entrance effect is considered, the damper has a nonlinear elastic force and a nonlinear damping force. These nonlinear forces are related to the orifice length, diameter, fluid viscosity, excitation amplitude and frequency. In the low-frequency domain, the differences between the two cases are small, while in the high-frequency domain, they are considerable.

Keywords

Micro-vibration Fluid viscous damper Nonlinear damping force Nonlinear elastic force 

Notes

Acknowledgements

The authors gratefully acknowledge the support of National Basic Research Program of China (No. 2013CB733004) and National Defense Basic Research Plan of China (No. A0320110016).

References

  1. 1.
    Kamesh, D., Pandiyan, R., Ghosal, A.: Modeling, design and analysis of low frequency platform for attenuating micro vibration in spacecraft. J. Sound Vib. 329(17), 3431–3450 (2010)CrossRefGoogle Scholar
  2. 2.
    Davis, P., Cunningham, D., Harrell, J.: Advanced 1.5 Hz passive viscous isolation system. In: 35th Structures, Structural Dynamics, and Materials Conference, vol. 32, No. 5Suppl, pp. 2655–2665 (2013)Google Scholar
  3. 3.
    Davis, L.P., Carter, D.R., Hyde, T.T.: Second-generation hybrid D-strut. In: Proceedings of SPIE, pp. 161–175 (1995)Google Scholar
  4. 4.
    Stabile, A., Aglietti, G.S., Richardson, G.: Electromagnetic damper design using a multiphysics approach. Proc. SPIE. 9431(20), 1–9 (2015)Google Scholar
  5. 5.
    Stabile, A., Aglietti, G.S., Richardson, G., Smet, G.: Design and verification of a negative resistance electromagnetic shunt damper for spacecraft micro vibration. J. Sound Vib. 386, 38–49 (2017)CrossRefGoogle Scholar
  6. 6.
    Stabile, A., Aglietti, G.S., Richardson, G., Smet, G.: A 2-collinear-DoF strut with embedded negative-resistance electromagnetic shunt dampers for spacecraft micro vibration. Smart Mater. Struct. 26(4), 045031 (2017)CrossRefGoogle Scholar
  7. 7.
    Lee, D.-O., Park, G., Han, J.-H.: Experimental study on on-orbit and launch environment vibration isolation performance of a vibration isolator using bellows and viscous fluid. Aerosp. Sci. Technol. 45, 1–9 (2015)CrossRefGoogle Scholar
  8. 8.
    Lee, D.-O., Park, G., Han, J.-H.: Hybrid isolation of micro vibrations induced by reaction wheels. J. Sound Vib. 363, 1–17 (2016)CrossRefGoogle Scholar
  9. 9.
    Wang, J., Zhao, S., Wu, D.: Performance of a type of nonlinear fluid micro vibration isolators. J. Aerosp. Eng. 28(6), 04015002 (2015)CrossRefGoogle Scholar
  10. 10.
    Shi, W.-K., Qian, C., Chen, Z.-Y., Cao, Y., Zhang, H.: Modeling and dynamic properties of a four-parameter Zener model vibration isolator. Shock Vib. 2016, 1–16 (2016)Google Scholar
  11. 11.
    Narkhede, D.I., Sinha, R.: Behavior of nonlinear fluid viscous dampers for control of shock vibrations. J. Sound Vib. 333(1), 80–98 (2014)CrossRefGoogle Scholar
  12. 12.
    Hou, C.-Y.: Behavior explanation and a new model for nonlinear viscous fluid dampers with a simple annular orifice. Arch. Appl. Mech. 82(1), 1–12 (2011)MathSciNetCrossRefzbMATHGoogle Scholar
  13. 13.
    Peng, Z.K., Lang, Z.Q., Zhao, L., Billings, S.A., Tomlinson, G.R., Guo, P.F.: The force transmissibility of MDOF structures with a non-linear viscous damping device. Int. J. Nonlinear Mech. 46(10), 1305–1314 (2011)CrossRefGoogle Scholar
  14. 14.
    Wolfe, R.W., Yun, H.B., Masri, S., Tasbihgoo, F., Benzoni, G.: Fidelity of reduced-order models for large-scale nonlinear orifice viscous dampers. Struct. Control Health Monit. 15(8), 1143–1163 (2008)CrossRefGoogle Scholar
  15. 15.
    Farjoud, A., Ahmadian, M., Craft, M., Burke, W.: Nonlinear modeling and experimental characterization of hydraulic dampers: effects of shim stack and orifice parameters on damper performance. Nonlinear Dyn. 67(2), 1437–1456 (2011)CrossRefGoogle Scholar
  16. 16.
    Hou, C.-Y.: Fluid dynamics and behavior of nonlinear viscous fluid dampers. J. Struct. Eng. 134(1), 56–63 (2008)CrossRefGoogle Scholar
  17. 17.
    Narkhede, D.I., Sinha, R.: Influence of shock impulse characteristics on vibration control using nonlinear fluid viscous dampers. J. Vib. Control 23(9), 1463–1479 (2015)MathSciNetCrossRefGoogle Scholar
  18. 18.
    Shum, K.M.: Tuned vibration absorbers with nonlinear viscous damping for damped structures under random load. J. Sound Vib. 346, 70–80 (2015)CrossRefGoogle Scholar
  19. 19.
    Guo, P.F., Lang, Z.Q., Peng, Z.K.: Analysis and design of the force and displacement transmissibility of nonlinear viscous damper based vibration isolation systems. Nonlinear Dyn. 67(4), 2671–2687 (2012)MathSciNetCrossRefzbMATHGoogle Scholar
  20. 20.
    Lang, Z.Q., Jing, X.J., Billings, S.A., Tomlinson, G.R., Peng, Z.K.: Theoretical study of the effects of nonlinear viscous damping on vibration isolation of sdof systems. J. Sound Vib. 323(1–2), 352–365 (2009)CrossRefGoogle Scholar
  21. 21.
    Lv, Q., Yao, Z.: Analysis of the effects of nonlinear viscous damping on vibration isolator. Nonlinear Dyn. 79(4), 2325–2332 (2014)MathSciNetCrossRefGoogle Scholar
  22. 22.
    Goldasz, J., Alexandridis, A.A.: Medium- and high-frequency analysis of magnetorheological fluid dampers. J. Vib. Control 18(14), 2140–2148 (2011)CrossRefGoogle Scholar

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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of AstronauticsHarbin Institute of TechnologyHarbinChina

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