Skip to main content
SpringerLink
Log in

Experimental Validation of Damage Indices Based on Complex Modes for Damage Detection in Vibrating Structures

  • Conference paper
  • First Online:
Proceedings of the 13th International Conference on Damage Assessment of Structures

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

Commonly, the damage detection techniques for structures prone to earthquakes are based on the changes of modal parameters between different structural states, namely before and after a seismic event. Recently, in this context, damage indices based on measures of the imaginary part of complex mode shapes turned out to be an interesting alternative as compared to the direct use of the modal parameters. In fact, numerical simulations proved that the increase in mode shapes complexity comes from the energy dissipated along with damage occurrence. In literature, several indices have been suggested on purpose. However, such indices, for being successful in damage detection, should possess at least two properties with respect to the damage severity: monotony, to guarantee solution uniqueness, and sensitivity, to cope with incipient damage. The present work aims to investigate experimentally the behavior of one of these indices that has been proved the most effective by previous numerical studies. To this end, the results provided by a laboratory physical model subjected to base motion have been used. The damage severity was graded by stepping the amplitude of the base motion so that quasi-linear conditions of the overall structure response can be preserved. The model response was processed via the joint use of the Empirical Mode Decomposition and the Complex Plane Representation methods. The resulting damage index was used to validate the numerical results of previous studies; it was found that numerical and experimental values of the damage index are well comparable.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and 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

References

  1. Cawley, P., Adams, R.D.: The location of defects in structures from measurements of natural frequencies. J. Strain Anal. 14, 49–57 (1979)

    Article  Google Scholar 

  2. Gunes, B., Gunes, O.: Structural health monitoring and damage assessment part I: a critical review of approaches and methods. Int. J. Phys. Sci. 8(34), 1694–1702 (2013)

    Google Scholar 

  3. Salawu, O.S.: Detection of structural damage through changes in frequency: a review. Eng. Struct. 19(9), 718–723 (1997)

    Article  Google Scholar 

  4. Shi, Z.Y., Law, S.S., Zhang, L.M.: Damage localization by directly using incomplete mode shapes. J. Eng. Mech. 126(6), 656–660 (2000)

    Article  Google Scholar 

  5. Rainieri, C., Fabbrocino, G., Cosenza, E.: Some remarks on experimental estimation of damping for seismic design of civil constructions. Shock Vibr. 17, 383–395 (2010)

    Article  Google Scholar 

  6. Rainieri, C., Fabbrocino, G., Cosenza, E.: Structural damping: theoretical models and experimental evaluations (in Italian). In: Proceedings of 13th ANIDIS Conference, Bologna, Italy (2009)

    Google Scholar 

  7. Bovsunovkii, A.P.: On the efficiency of using damping characteristics of structural components for damage diagnostics. Strength Mater. 34(6), 560–569 (2002)

    Article  Google Scholar 

  8. Zonta, D., Modena, C., Bursi, O.S.: Analysis of dispersive phenomena in damaged structures. In: Proceedings of European COST F3 Conference on System Identification and Structural Health Monitoring, pp. 801–810. Madrid, Spain (2000)

    Google Scholar 

  9. Modena, C., Sonda, D., Zonta, D.: Damage localization in reinforced concrete structures by using damping measurements. Key Eng. Mater. 167–168, 132–141 (1999)

    Article  Google Scholar 

  10. Lage, Y., Cachão, H., Reis, L., Fonte, M., de Freitas, M., Ribeiro, A.: A damage parameter for HCF and VHCF based on hysteretic damping. Int. J. Fatigue 62, 2–9 (2014)

    Article  Google Scholar 

  11. Zhang, Z., Hartwig, G.: Relation of damping and fatigue damage of unidirectional fiber composites. Int. J. Fatigue 24, 713–718 (2002)

    Article  Google Scholar 

  12. Montalvão, D., Ribeiro, A.M.R., Duarte-Silva, J.: A method for the localization of damage in CFR plate using damping. Mech. Syst. Signal Process. 23, 1846–1854 (2009)

    Article  Google Scholar 

  13. Kawiecki, G.: Modal damping measurement for damage detection. Smart Mater. Struct. 10, 466–471 (2001)

    Article  Google Scholar 

  14. Egba, E.I.: Detection of structural damage in building using changes in modal damping mechanism. Int. J. Eng. Manag. Sci. 3(3), 250–255 (2012)

    Google Scholar 

  15. Curadelli, R.O., Riera, J.D., Ambrosini, D., Amani, M.G.: Damage detection by means of structural damping identification. Eng. Struct. 30, 3497–3504 (2008)

    Article  Google Scholar 

  16. Iezzi, F., Valente, C.: Mode shapes complexity for damage identification of structures experiencing plasticization. In: Proceedings of 9th International Conference on Computational Methods, ScienTech Publisher, Paper ID 3030, Rome, Italy (2018)

    Google Scholar 

  17. Lofrano, E., Paolone, A., Ruta, G., Taglioni, A.: Perturbation damage indicators based on complex modes. Procedia Eng 199, 1949–1954 (2017)

    Article  Google Scholar 

  18. Iezzi, F.: Structural damage identification through modal complextiy (in Italian). Ph.D. Thesis, University “G. d’Annunzio” of Chieti-Pescara, Italy (2016)

    Google Scholar 

  19. Iezzi, F., Valente, C., Zuccarino, L.: The measure of the modal complexity as indicator of structural damage (in Italian). In: Proceedings of 14th ANIDIS Conference, L’Aquila, Italy (2015)

    Google Scholar 

  20. Iezzi, F., Spina, D., Valente, C.: Damage assessment through changes in mode shapes due to non-proportional damping. J. Phys.: Conf. Ser. 628, 012019 (2015)

    Google Scholar 

  21. Iezzi, F., Valente, C.: Modal density influence on modal complexity quantification in dynamic systems. Procedia Eng. 199, 942–947 (2017)

    Article  Google Scholar 

  22. Attoh-Okine, N., Barner, K., Bentil, D., Zhang, R.: The empirical mode decomposition and the Hilbert-Huang transform. EURASIP J. Adv. Signal Process. 2008, 1–2 (2008)

    Google Scholar 

  23. Rato, R.T., Ortigueira, M.D., Batista, A.G.: On the HHT, its problems, and some solutions. Mech. Syst. Signal Process. 22, 1374–1394 (2008)

    Article  Google Scholar 

  24. Gabriele, S., Iezzi, F., Spina, D., Valente, C.: The effects of modal density in system identification using the Hilbert transform. In: Proceedings of IEEE Workshop on Environmental, Energy and Structural Monitoring Systems, Naples, Italy (2014)

    Google Scholar 

  25. Ahan, S.L.: Hilbert Transforms in Signal Processing. Artech House, Boston, USA (1996)

    Google Scholar 

  26. Dolce, M., Moroni, C., Nigro, D., Ponzo, F.C., Goretti, A., Spina, D., Lamonaca, B., Giordano, F., De Canio, G., Rainieri, N., Marnetto, R.: TREMA project: experimental evaluation of seismic performance of a RC ¼ scaled model upgraded with FRP. In: Proceedings of the fib 2nd International Congress, Naples, Italy (2006)

    Google Scholar 

  27. Craig, R.R., Kurdila, A.J.: Fundamentals of Structural Dynamics, 2nd edn. Wiley, Hoboken, NJ (2006)

    MATH  Google Scholar 

  28. Adhikari, S.: Damping modelling and identification using generalized proportional damping. In: Proceedings of 23rd International Modal Analysis Conference, Orlando, FL, USA (2005)

    Google Scholar 

  29. Adhikari, S.: Optimal complex modes and an index of damping non-proportionality. Mech. Syst. Signal Process. 18(1), 1–27 (2004)

    Article  Google Scholar 

  30. Adhikari, S.: Structural Dynamic Analysis with Generalized Damping Models: Identification. Wiley, New York (2014)

    Chapter  Google Scholar 

  31. Liu, K., Kujath, M.R., Zheng, W.: Evaluation of damping non-proportionality using identified modal information. Mech. Syst. Signal Process. 15(1), 227–242 (2001)

    Article  Google Scholar 

  32. Tentor, L.B., Wicks, A.L., Cudney, H.H.: Characterization of nonproportional damping from complex modes and eigenvalues. In: Proceedings of 14th International Modal Analysis Conference, pp. 1628–1631 (1996)

    Google Scholar 

  33. Prater, G., Singh, R.: Quantification of the extent of nonproportional viscous damping in discrete vibratory systems. J. Sound Vib. 104(1), 109–125 (1986)

    Article  Google Scholar 

  34. Nair, S.S., Sing, R.: Examination of the validity of proportional damping approximations with two further numerical indices. J. Sound Vib. 104(2), 348–350 (1986)

    Article  Google Scholar 

  35. Tong, M., Liang, Z., Lee, G.C.: An index of damping non-proportionality for discrete vibrating systems. J. Sound Vib. 174(1), 37–55 (1994)

    Article  MathSciNet  Google Scholar 

  36. Imregun, M., Ewins, D.J.: Complex modes – origins and limits. In: Proceedings of 13th International Modal Analysis Conference, pp. 496–506, Nashville, TN, USA (1995)

    Google Scholar 

  37. Liu, K., Kujath, M.R., Zheng, W.: Quantification of non-proportionality of damping in discrete vibratory systems. Comput. Struct. 77(5), 557–569 (2000)

    Article  Google Scholar 

  38. Valente, C., Spina, D., Gabriele, S., De Leonardis, A.M.: The complex plane representation method for structural damage detection. In: Proceedings of 10th International Conference on Computational Structures Technology, Valencia, Spain (2010)

    Google Scholar 

Download references

Acknowledgements

The support of the Seismic and Volcanic Risk Office of the Italian Department of Civil Protection in providing the experimental data is gratefully acknowledged.

Author information

Authors and Affiliations

  1. Department of Engineering and Geology, University “G. D’Annunzio” of Chieti-Pescara, Viale Pindaro 42, 65127, Pescara, Italy

    F. Iezzi & C. Valente

  2. Department of Architecture, Roma Tre University, Largo G.B. Marzi 10, 00153, Rome, Italy

    F. Brancaleoni

Authors
  1. F. Iezzi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Valente
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. F. Brancaleoni
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F. Iezzi .

Editor information

Editors and Affiliations

  1. Laboratory Soete, Ghent University, Ghent, Belgium

    Magd Abdel Wahab

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Iezzi, F., Valente, C., Brancaleoni, F. (2020). Experimental Validation of Damage Indices Based on Complex Modes for Damage Detection in Vibrating Structures. In: Wahab, M. (eds) Proceedings of the 13th International Conference on Damage Assessment of Structures. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-8331-1_8

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-8331-1_8

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-8330-4

  • Online ISBN: 978-981-13-8331-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation