Skip to main content

The Nonlinear Tuned Vibration Absorber

  • Conference paper
  • First Online:
Topics in Nonlinear Dynamics, Volume 1

Part of the book series: Conference Proceedings of the Society for Experimental Mechanics Series ((CPSEMS,volume 35))

  • 2059 Accesses

Abstract

The objective of this paper is to introduce a new nonlinear dynamical absorber, the nonlinear tuned vibration absorber, through a rigorous nonlinear extension of the tuning rule for the linear tuned vibration absorber. This nonlinear tuning methodology combined with the increased suppression bandwidth brought by the intentional use of nonlinearity leads to the development of an absorber that is effective in wide ranges of frequencies and motion amplitudes. The results are illustrated using a one-degree-of-freedom primary system.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Roberson RE (1952) Synthesis of a nonlinear dynamic vibration absorber. J Franklin Inst 254:205–220

    Article  MathSciNet  Google Scholar 

  2. Pipes LA (1953) Analysis of a nonlinear dynamic vibration absorber. J Appl Mech 20:515–518

    MATH  Google Scholar 

  3. Arnold FR (1955) Steady-state behavior of systems provided with nonlinear dynamic vibration absorbers. J Appl Mech 22:487–492

    MathSciNet  MATH  Google Scholar 

  4. Haxton RS, Barr ADS (1972) The autoparametric vibration absorber. ASME J Eng Ind 94:199–125

    Article  Google Scholar 

  5. Vakakis AF, Gendelman LA, Bergman LA, McFarland DM, Kerschen G, Lee YS (2009) Nonlinear targeted energy transfer in mechanical and structural systems. Springer, Dordrecht

    Google Scholar 

  6. Viguié R,Kerschen G, (2009) Nonlinear vibration absorber coupled to a nonlinear primary system: a tuning methodology. J Sound Vib 326:780–793

    Article  Google Scholar 

  7. Viguié R(2010) Tuning methodology of nonlinear vibration absorbers coupled to nonlinear mechanical systems. Ph.D. thesis, University of Liège. Available online at: http://www.ltas-vis.ulg.ac.be/cmsms/index.php?page=kerschen.

  8. Den Hartog JP(1985) Mechanical vibrations. Dover books on engineering, 4th edn. Dover, New York

    Google Scholar 

  9. Govaerts W, Gazhiani R, Kuznetsov Y, Meijer H (2007) Matcont: a toolbox for continuation and bifurcation of cycles of maps, Universiteit Gent – Utrecht University, 2007.

    Google Scholar 

Download references

Acknowledgements

The author G. Kerschen would like to acknowledge the financial support of the European Union (ERC Starting Grant NoVib-307265).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Kerschen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 The Society for Experimental Mechanics, Inc.

About this paper

Cite this paper

Viguié, R., Kerschen, G. (2013). The Nonlinear Tuned Vibration Absorber. In: Kerschen, G., Adams, D., Carrella, A. (eds) Topics in Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6570-6_21

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-6570-6_21

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6569-0

  • Online ISBN: 978-1-4614-6570-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics