Skip to main content
Log in

Analysis and design of the force and displacement transmissibility of nonlinear viscous damper based vibration isolation systems

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

This study is concerned with the analysis and design of the force and displacement transmissibility of nonlinear viscous damper based vibration isolation systems. Analytical algorithms are derived using the Ritz–Galerkin method to evaluate the transmissibility of SDOF displacement vibration isolation and force vibration isolation systems where a nonlinear viscous damper is used as an energy dissipating device. The results reveal that compared to linear dampers, nonlinear viscous dampers can more significantly improve the system vibration isolation performance in a wider frequency range. A procedure is then proposed based on the analysis results to facilitate the design of nonlinear viscous dampers for system vibration isolation purposes. These results have significant implications for the design of vibration isolation systems in many engineering applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Article  Google Scholar 

  2. Hwang, J.-S.: Seismic design of structures with viscous dampers. In: International Training Programs for Seismic Design of Building Structures, Taipei, Taiwan, p. 1 (2002)

    Google Scholar 

  3. Haque, M.M., Ahmed, A.K.W., Sankar, S.: Simulation of displacement sensitive non-linear dampers via integral formulation of damping force characterization. J. Sound Vib. 187(1), 95–109 (1995)

    Article  Google Scholar 

  4. Ruzicka, J.E., Derby, T.F.: Influence of Damping in Vibration Isolation. The Shock and Vibration Information Center, Washington (1971)

    Google Scholar 

  5. Ravindra, B., Mallik, A.K.: Performance of nonlinear vibration isolators under harmonic excitation. J. Sound Vib. 170(3), 325–337 (1994)

    Article  MATH  Google Scholar 

  6. Yang, P., Yang, J.M., Ding, J.N.: Dynamic transmissibility of a complex nonlinear coupling isolator. Tsinghua Sci. Technol. 11(54), 538–542 (2006)

    Article  MATH  Google Scholar 

  7. Di Paola, M., La Mendola, L., Navarra, G.: Stochastic seismic analysis of structures with nonlinear viscous dampers. J. Struct. Eng. 133(10), 1475–1478 (2007)

    Article  Google Scholar 

  8. Peng, Z.K., Lang, Z.Q.: The effects of nonlinearity on the output frequency response of a passive engine mount. J. Sound Vib. 318, 313–328 (2008)

    Article  Google Scholar 

  9. 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, 352–365 (2009)

    Article  Google Scholar 

  10. Lang, Z.Q., Billings, S.A., Yue, R., Li, J.: Output frequency response function of nonlinear Volterra systems. Automatica 43, 805–816 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  11. Delves, L.M., Mohamed, J.L.: Computational Methods for Integral Equations. Cambridge University Press, Cambridge (1985)

    Book  MATH  Google Scholar 

  12. Milovanovic, Z., Kovacic, I., Brennan, M.J.: On the displacement transmissibility of a base excited viscously damped nonlinear vibration isolator. J. Vib. Acoust. 131(5), 054502 (2009)

    Article  Google Scholar 

  13. Chen, L.S., Qiu, K., Chen, D.Y.: Research on continuous damping control improving force isolation of a SDOF mounting system. J. Intell. Mater. Syst. Struct. 17, 347–351 (2006)

    Article  MATH  Google Scholar 

  14. Sims, N.D., Stanway, R., Johnson, A.R., Peel, D.J., Boullough, W.A.: Smart fluid damping shaping the force/velocity response through feedback control. J. Intell. Mater. Syst. Struct. 11, 945–958 (2000)

    Google Scholar 

  15. Lee, D., Taylor, D.P.: Viscous damper development and future trends. Struct. Des. Tall Spec. Build. 10(5), 311–320 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Z. Q. Lang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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, 2671–2687 (2012). https://doi.org/10.1007/s11071-011-0180-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-011-0180-6

Keywords

Navigation