Skip to main content

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 518))

  • 1174 Accesses

Abstract

We discuss the concept of passive nonlinear targeted energy transfer (TET) and its application to vibration mitigation. By TET we denote the one-way passive transfer of vibration energy from a primary system to an attached lightweight attachment (termed nonlinear energy sink — NES), where this energy is locally confined and dissipated without spreading back to the primary system. Applications of the concept of TET to passive vibration mitigation of discrete and continuous oscillators are discussed.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • F. Georgiades. Nonlinear Localization and Targeted Energy Transfer Phenomena in Vibrating Systems with Smooth and Non-smooth Stiffness Nonlinearities. PhD thesis, National Technical University of Athens, Athens, Greece, 2006.

    Google Scholar 

  • F. Georgiades and A. F. Vakakis. Dynamics of a linear beam with an attached local nonlinear energy sink. Comm. Nonl, Sc. Nvm, Sim, 12 (5):643–561, 2007.

    Article  MATH  Google Scholar 

  • F. Georgiades and A. F. Vakakis. Passive targeted energy transfers and strong modal interactions in the dynamics of a thin plate with strongly nonlinear end attachments. Int. J. Solids Str., 2009. doi: 10.1016/j.ijsolstr.2009.01.020.

    Google Scholar 

  • N. E. Huang, Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N.-C. Yen, C. C. Tung, and H. H. Liu. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. Roy. Soc. London A, 454:903–995, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  • G. Kerschen, Y. S. Lee, A. F. Vakakis, D. M. McFarland, and L. A. Bergman. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity. SIAM J. Appl. Math., 66:648–679, 2006.

    Article  MATH  MathSciNet  Google Scholar 

  • G. Kerschen, O. V. Gendelman, A. F. Vakakis, L. A. Bergman, and D. M. McFarland. Impulsive periodic and quasi-periodic orbits in coupled oscillators with essential nonlinearity. Comm. Nonl. Sc. Num. Sim., 13: 959–978, 2008.

    Article  MathSciNet  Google Scholar 

  • Y. S. Lee, G. Kerschen, D. M. McFarland, W. J. Hill, C. Nichkawde, T. W. Strganac, L. A. Bergman, and A. F. Vakakis. Suppression of aeroelastic instability by means of broadband passive targeted energy transfers II: experiments. AIAA J., 45(12):2391–2400, 2007a.

    Article  Google Scholar 

  • Y. S. Lee, A. F. Vakakis, L. A. Bergman, D. M. McFarland, and G. Kerschen. Suppression of aeroelastic instability using broadband passive targeted energy transfers I: theory. AIAA J., 45(3):693–711, 2007b.

    Article  Google Scholar 

  • G. R. Liu and S. S. Quek. The Finite Element Method: A Practical Course. Butterworth-Heinemann, Oxford, 2003.

    MATH  Google Scholar 

  • F. Nucera, D. M. McFarland, L. A. Bergman, and A. F. Vakakis. Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Part II. experimental results. Journal of Sound and Vibration, 313:57–76, 2008.

    Article  Google Scholar 

  • S. Tsakirtzis, A. F. Vakakis, and S. Panagopoulos. Broadband energy exchanges between a dissipative elastic rod and a multi-degree-of-freedom dissipative, essentially nonlinear attachment. Int. J. Nonlinear Mech., 42(1):36–57, 2007. Special Issue on ‘Dissipative Nonlinear Systems’.

    Article  Google Scholar 

  • A. F. Vakakis, O. Gendelman, L. A. Bergman, D. M. McFarland, G. Kerschen, and Y. S. Lee. Passive Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems, volume I and II. Springer Verlag, Berlin and New York, 2008.

    Google Scholar 

  • R. Viguié. Passive vibration mitigation in rotor systems using nonlinear energy sinks. Master’s thesis, University of Liège, Liège, Belgium, 2006.

    Google Scholar 

  • O. C. Zienkiewicz and R. L. Taylor. The Finite Element Method, volume 2: Solid Mechanics. Butterworth-Heinemann, Oxford, 5th edition, 2000.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 CISM, Udine

About this chapter

Cite this chapter

Vakakis, A.F. (2010). Nonlinear Targeted Energy Transfer and its Application to Vibration Mitigation. In: Vakakis, A.F. (eds) Advanced Nonlinear Strategies for Vibration Mitigation and System Identification. CISM International Centre for Mechanical Sciences, vol 518. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0205-3_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-0205-3_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-0204-6

  • Online ISBN: 978-3-7091-0205-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics