Skip to main content

Advertisement

Log in

Bistable nonlinear damper based on a buckled beam configuration

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

Abstract

This article addresses a particular realization of a compact bistable nonlinear absorber based on the concept of nonlinear energy sink. The article presents both a detailed description of the absorber mechanics and an illustration of the targeted energy transfer between the absorber and a linear system. The experimental results are accompanied with the numerical simulations. Beside practical improvements linked to the features of absorber design, the obtained results stay in line with those found for simpler realizations of a bistable nonlinear energy sinks.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26
Fig. 27
Fig. 28

Similar content being viewed by others

References

  1. Mattei, P.-O., Ponçot, R., Pachebat, M., Côte, R.: Nonlinear targeted energy transfer of two coupled cantilever beams coupled to a bistable light attachment. J. Sound Vib. 373, 29–51 (2016)

    Google Scholar 

  2. Gendelman, O.V.: Transition of energy to a nonlinear localized mode in a lightly asymmetric system of two oscillators. Nonlinear Dyn. 25, 237–253 (2001)

    Google Scholar 

  3. Jiang, X., McFarland, D.M., Bergman, L., Vakakis, A.F.: Steady state passive nonlinear energypumping in coupled oscillators: theoretical and experimental result. Nonlinear Dyn. 33, 87–102 (2003)

    Google Scholar 

  4. Malatkar, P., Nayfeh, A.H.: Steady-state dynamics of a linear structure weakly coupled to an essentially nonlinear oscillator. Nonlinear Dyn. 47, 167–179 (2007)

    Google Scholar 

  5. Gendelman, O.V., Gourdon, E., Lamarque, C.-H.: Quasiperiodic energy pumping in coupled oscillators under periodic forcing. J. Sound Vib. 294, 651–662 (2006)

    Google Scholar 

  6. Starosvetsky, Y., Gendelman, O.V.: Response regimes in forced system with nonlinear energy sink: quasi-periodic and random forcing. Nonlinear Dyn. 64, 177–195 (2011)

    Google Scholar 

  7. Gendelman, O.V.: Targeted energy transfer in systems with non-polynomial nonlinearity. J. Sound Vib. 315, 732–745 (2008)

    Google Scholar 

  8. Lamarque, C.-H., Gendelman, O.V., Etcheverria, E., Savadkoohi, A.T.: Targeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink. Acta Mech. 221, 175–200 (2011)

    Google Scholar 

  9. Gendelman, O.V.: Analytic treatment of a system with a vibro-impact nonlinear energy sink. J. Sound Vib. 331, 4599–4608 (2012)

    Google Scholar 

  10. Gendelman, O.V., Sigalov, G., Manevitch, L.I., Mane, M., Vakakis, A.F., Bergman, L.A.: Dynamics of an eccentric rotational nonlinear energy sink. J. Appl. Mech. 79, 011012 (2012)

    Google Scholar 

  11. Vakakis, A.F., Gendelman, O.V., Bergman, L.A., McFarland, D.M., Kerschen, G., Lee, Y.S.: Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems. Springer, Heidelberg (2009)

    Google Scholar 

  12. Gendelman, O.V., Alloni, A.: Forced system with vibro-impact energy sink: chaotic strongly modulated responses. Procedia IUTAM 19, 53–64 (2016)

    Google Scholar 

  13. Avramov, K.V., Michlin, Y.V.: Snap-through truss as a vibration absorber. J. Vib. Control 10, 291–308 (2004)

    Google Scholar 

  14. Gourdon, E., Lamarque, C.-H.: Energy pumping with various nonlinear structures: numerical evidences. Nonlinear Dyn. 40, 281–307 (2005)

    Google Scholar 

  15. Gendelman, O.V., Lamarque, C.-H.: Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium. Chaos Solitons Fractals 24, 501–509 (2005)

    Google Scholar 

  16. Manevitch, L.I., Sigalov, G., Romeo, F., Bergman, L.A., Vakakis, A.F.: Dynamics of a linear oscillator coupled to a bistable light attachment: analytical study. J. Appl. Mech. 81, 041011 (2014)

    Google Scholar 

  17. Romeo, F., Sigalov, G., Bergman, L.A., Vakakis, A.F.: Dynamics of a linear oscillator coupled to a bistable light attachment: numerical study. J. Comput. Nonlinear Dyn. 10, 011007 (2015)

    Google Scholar 

  18. Romeo, F., Manevitch, L.I., Bergman, L.A., Vakakis, A.F.: Transient and chaotic low-energy transfers in a system with bistable nonlinearity. Chaos 25, 053109 (2015)

    Google Scholar 

  19. Kovacic, I., Brennan, M.J.: The Duffing Equation: Nonlinear Oscillations and Their Behaviour. Wiley, Chichester (2011)

    Google Scholar 

  20. Chiacchiari, S., Romeo, F., McFarland, D.M., Bergman, L.A., Vakakis, A.F.: Vibration energy harvesting from impulsive excitations via a bistable nonlinear attachment. Int. J. Non-Linear Mech. 94, 84–97 (2017)

    Google Scholar 

  21. Chiacchiari, S., Romeo, F., McFarland, D.M., Bergman, L.A., Vakakis, A.F.: Vibration energy harvesting from impulsive excitations via a bistable nonlinear attachment—experimental study. Mech. Syst. Signal Process. 125, 185–201 (2019)

    Google Scholar 

  22. Benacchio, S., Malher, A., Boisson, J., Touzé, C.: Design of a magnetic vibration absorber with tunable stiffnesses. Nonlinear Dyn. 85, 893–911 (2016)

    Google Scholar 

  23. Jensen, J.J.: On the shear coefficient in Timoshenko’s beam theory. J. Sound Vib. 87, 621–635 (1983)

    Google Scholar 

  24. Torabi, K., Jazi, A.J., Zafari, E.: Exact closed form solution for the analysis of the transverse vibration modes of a Timoshenko beam with multiple concentrated masses. Appl. Math. Comput. 238, 342–357 (2014)

    Google Scholar 

  25. Wolfram Research Inc., Mathematica, Version 11.3, Champaign, IL (2018)

  26. Leissa, A.W.: Vibrations of Plates. American Institute of Physics for the Acoustical Society of America, Woodbury (1993)

    Google Scholar 

  27. Habib, G., Romeo, F.: The tuned bistable nonlinear energy sink. Nonlinear Dyn. 89, 179–196 (2017)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P.-O. Mattei.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Iurasov, V., Mattei, PO. Bistable nonlinear damper based on a buckled beam configuration. Nonlinear Dyn 99, 1801–1822 (2020). https://doi.org/10.1007/s11071-019-05387-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-019-05387-7

Keywords

Navigation