Skip to main content
SpringerLink
Log in

An Overview of the Transmissibility Concept and Its Application to Structural Damage Detection

  • Conference paper
  • First Online:
Book cover Topics in Modal Analysis I, Volume 5

Abstract

The notion of transmissibility, in what mechanical vibrations are concerned, may lead to various potential applications. Depending on the related quantities, responses or forces, it is possible to use different formulations and to deduce important properties. All these aspects are overviewed in the present article, where transmissibility can be oriented to the evaluation of unmeasured frequency response functions, to the estimation of reaction forces and, with special focus here, to the detection of damage in a structure. This important application of the transmissibility concept leads to the damage detection phase. To accomplish such a goal, the authors present some indicators and numerical simulations are given to illustrate the theoretical developments.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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. Maia NMM, Urgueira APV, Almeida RAB (2011) Whys and wherefores of transmissibility. In: Beltran-Carbajal F (ed) Chapter no. 10 of vibration analysis and control – new trends and developments. ISBN: 978-953-307-433-7, InTech, pp 197–216. http://www.intechopen.com/books/show/title/vibration-analysis-and-control-new-trends-and-developments

  2. Ribeiro AMR (1998) On the generalization of the transmissibility concept. In: Proceedings of the NATO/ASI conference on modal analysis and testing, Sesimbra

    Google Scholar 

  3. Ribeiro AMR, Fontul M, Maia NMM, Silva JMM (2005) Further developments on the transmissibility concept for multiple degree of freedom systems, Scientific Bulletin of the “Politehnica”, University of Timisoara, Transactions on Mechanics, vol 50, no. 64, Timisoara, pp 1224–6077

    Google Scholar 

  4. Ribeiro AMR, Maia NMM, Silva JMM (1999) Experimental evaluation of the transmissibility matrix. In: Proceedings of the 17th international modal analysis conference (IMAC XVII), Kissimmee, pp 1126–1129

    Google Scholar 

  5. Maia NMM, Silva JMM, Ribeiro AMR (1999) The transmissibility concept in multi-degree-of-freedom. In: Proceedings of the systems, inverse methods in structural dynamics, European mechanics colloquium, EUROMEC 401, Liverpool

    Google Scholar 

  6. Ribeiro AMR, Maia NMM, Silva JMM (2000) Response prediction from a reduced set of known responses using the transmissibility. In: Proceedings of the 18th international modal analysis conference (IMAC XVIII), San Antonio, pp 425–427

    Google Scholar 

  7. Ribeiro AMR, Fontul M, Silva JMM, Maia NMM (2002) Transmissibility matrix in harmonic and random processes. In: Proceedings of the international conference on structural dynamics modelling (SDM), Funchal

    Google Scholar 

  8. Fontul M, Ribeiro AMR, Silva JMM, Maia NMM (2004) Transmissibility matrix in harmonic and random processes. Shock Vib 11(5–6):563–571

    Google Scholar 

  9. Fontul M (2005) Transmissibility in multi-degree-of-freedom systems. Ph.D. Thesis. Instituto Superior Técnico, Technical University of Lisbon, Portugal

    Google Scholar 

  10. Sampaio RPC, Maia NMM, Ribeiro AMR, Silva JMM (1999) Damage detection using the transmissibility concept. In: Proceedings of the 6th international congress on sound and vibration (ICSV 6), Copenhagen, pp 2559–2568

    Google Scholar 

  11. Devriendt C, De Sitter G, Guillaume P (2010) An operational modal analysis approach based on parametrically identified multivariable transmissibilities. Mech Syst Signal P 24(5):1250–1259

    Article  Google Scholar 

  12. Maia NMM, Fontul M, Ribeiro AMR (2006) Transmissibility of forces in multiple-degree-of freedom systems. In: Proceedings of the international conference on noise and vibration engineering (ISMA 2006), Leuven

    Google Scholar 

  13. Devriendt C (2004) Transmissibility on coupled structures. Final Project Report, Instituto Superior Técnico, Portugal

    Google Scholar 

  14. Ribeiro AMR, Silva JMM, Maia NMM, Fontul M (2004) Transmissibility in structural coupling. In: Proceedings of the international conference on noise and vibration engineering (ISMA 2004), Leuven

    Google Scholar 

  15. Devriendt CMG, Fontul M (2005) Transmissibility in structural coupling: identification of the sufficient set of coupling forces. In: Proceedings of the 1st international operational modal analysis conference (IOMAC 1), Copenhagen

    Google Scholar 

  16. Maia NMM, Almeida RAB, Urgueira APV (2008) Understanding transmissibility properties. In: Proceedings of the 26th international modal analysis conference (IMAC XXVI), Orlando

    Google Scholar 

  17. Urgueira APV, Almeida RAB, Maia NMM (2008) Experimental estimation of FRFs using the transmissibility concept. In: Proceedings of the international conference on modal analysis noise and vibration engineering (ISMA 2008), Leuven

    Google Scholar 

  18. Steenackers G, Devriendt C, Guillaume P (2007) On the use of transmissibility measurements for finite element model updating. J Sound Vib 303(3–5):707–722

    Article  Google Scholar 

  19. Devriendt C, Guillaume P (2007) The use of transmissibility measurements in output-only modal analysis. Mech Syst Signal Process 21(7):2689–2696

    Article  Google Scholar 

  20. Devriendt C, De Sitter G, Vanlanduit S, Guillaume P (2009) Operational modal analysis in the presence of harmonic excitations by the use of transmissibility measurements. Mech Syst Signal Process 23(3):621–635

    Article  Google Scholar 

  21. Tcherniak D, Schuhmacher AP (2009) Application of transmissibility matrix method to NVH source contribution analysis. In: Proceedings of the 27th international modal analysis conference (IMAC XXVII), Orlando

    Google Scholar 

  22. Canales G, Mevel L, Basseville M (2009) Transmissibility based damage detection. In: Proceedings of the 27th international operational modal analysis conference (IMAC XXVII), Orlando

    Google Scholar 

  23. Devriendt C, Vanbrabant K, De Sitter G, Presznzk F, De Troyer T, Deckers K, Steenackers G, Vanlanduit S, Guillaume P (2009) Structural health monitoring in changing operational conditions using transmissibility measurements. In: Proceedings of the international conference on engineering dynamic (ICEDyn 2009), Ericeira

    Google Scholar 

  24. Urgueira APV, Almeida RAB, Maia NMM (2011) On the use of the transmissibility concept for the evaluation of frequency response functions. Mech Syst Signal Process 25(3):940–951

    Article  Google Scholar 

  25. Maia NMM, Almeida RAB, Urgueira APV, Sampaio RPC (2010) Using transmissibility for damage detection and quantification. In: Proceedings of the 5th European workshop on structural health monitoring (SHM 2010), Naples

    Google Scholar 

  26. Heylen W, Lammens S, Sas P (1998) Modal analysis theory and testing. K. U. Leuven – PMA, Belgium, section A.6

    Google Scholar 

  27. Maia NMM, Almeida RAB, Urgueira APV, Sampaio RPC (2011) Damage detection and quantification using transmissibility. Mech Syst Signal Process 25(7):2475–2483

    Article  Google Scholar 

Download references

Acknowledgements

The authors greatly appreciate the financial support of the Portuguese Foundation for Science and Technology (FCT), under the research program POCI 2010.

Author information

Authors and Affiliations

  1. IDMEC/ IST, Universidade Técnica de Lisboa, Av. Rovisco Pais, Lisbon, 1049-001, Portugal

    Nuno M. M. Maia

  2. IDMEC, Departamento de Engenharia Mecânica e Industrial, Universidade Nova de Lisboa, Caparica, 2829-516, Portugal

    A. P. V. Urgueira & R. A. B. Almeida

Authors
  1. Nuno M. M. Maia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. P. V. Urgueira
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. A. B. Almeida
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nuno M. M. Maia .

Editor information

Editors and Affiliations

  1. University of Cincinnati, Cincinnati, 45221, Ohio, USA

    R. Allemang

  2. Michigan Technological University, Houghton, 49931-1295, USA

    J. De Clerck

  3. University Massachusetts Lowell, Lowell, 01854, USA

    C. Niezrecki

  4. Michigan Technological University, Houghton, 49931-1295, USA

    J.R. Blough

Rights and permissions

Reprints and permissions

Copyright information

© 2012 The Society for Experimental Mechanics, Inc. 2012

About this paper

Cite this paper

Maia, N.M.M., Urgueira, A.P.V., Almeida, R.A.B. (2012). An Overview of the Transmissibility Concept and Its Application to Structural Damage Detection. In: Allemang, R., De Clerck, J., Niezrecki, C., Blough, J. (eds) Topics in Modal Analysis I, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2425-3_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-2425-3_14

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-2424-6

  • Online ISBN: 978-1-4614-2425-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation