Skip to main content
SpringerLink
Log in

Vibration-based damage indicators: a comparison based on information entropy

  • Original Paper
  • Published:
Journal of Civil Structural Health Monitoring Aims and scope Submit manuscript

Abstract

Vibration-based methods for damage localizations often rely on a damage feature defined in terms of changes of modal shapes and localize damage by detecting shape irregularities that are ascribed to local loss of stiffness. In this paper, the performance of several algorithms for damage localization is investigated and the results are compared in terms of the gain of information they provide, which is measured by the relative information entropy also known as Kullback–Leibner (KL) divergence. This parameter is a measure of the difference between two probability distributions and can quantify the information gain achieved using different statistical models. In this paper the relative entropy is used to compare the gain of information obtained using different damage-sensitive indicators retrieved from simulated structural health monitoring data. The investigation is carried out using structural responses simulated using the finite element model of a real bridge permanently monitored by the Italian Seismic Observatory of Structures.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

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

Similar content being viewed by others

References

  1. Toksoy T, Aktan AE (1994) Bridge-condition assessment by modal flexibility. Exp Mech 34:271–278

    Article  Google Scholar 

  2. Cruz PJS, Salgado R (2009) Performance of vibration-based damage detection methods in bridges. Comput Aided Civil Infrastruct Eng 24:62–79

    Article  Google Scholar 

  3. Necati Catbas F, Gul M, Burkett JL (2008) Conceptual damage-sensitive features for structural health monitoring: laboratory and field demonstrations. Mech Syst Signal Process 22:1650–1669

    Article  Google Scholar 

  4. Magalhães F, Cunha A, Caetano E (2012) Vibration based structural health monitoring of an arch bridge: from automated OMA to damage detection. Mech Syst Signal Process 28:212–228

    Article  Google Scholar 

  5. Kato M, Shimada S (1986) Vibration of PC bridge during failure process. J Struct Eng ASCE 112:1692–1703

    Article  Google Scholar 

  6. Farrar CR, Jauregui DA (1998) Comparative study of damage identification algorithms applied to a bridge: I. Experiment. Smart Mater Struct 7:704–719

    Article  Google Scholar 

  7. Maek J, Peeters B, De Roeck G (2001) Damage identification on the Z24 bridge using vibration monitoring. Smart Mater Struct 10:512–517

    Article  Google Scholar 

  8. Dilena M, Limongelli MP, Morassi A (2014) Damage localization in bridges via FRF interpolation method. Mech Syst Signal Process 52–53:162–180

    Google Scholar 

  9. Limongelli MP, Tirone M, Surace C (2017) Non destructive monitoring of a prestressed bridge with a data-driven. In: Proceedings of SPIE 10170, health monitoring of structural and biological systems 2017, 1017033. https://doi.org/10.1117/12.2258381

  10. Rainieri C, Gargaro D, Fabbrocino G, Maddaloni G, Di Sarno L, Prota A, Manfredi G (2018) Shaking table tests for the experimental verification of the effectiveness of an automated modal parameter monitoring system for existing bridges in seismic areas. Struct Control Health Monit 25:e2165

    Article  Google Scholar 

  11. Salawu OS (1997) Detection of structural damage through changes in frequency: a review. Eng Struct 19(9):718–723

    Article  Google Scholar 

  12. Worden K, Inman DJ (2010) Modal vibration methods in Structural Health Monitoring. In: Blockley R, Shyy W (eds) Encyclopedia of aerospace engineering. Wiley, pp 1995–2004

  13. Pandey A, Biswas M, Samman M (1991) Damage detection from changes in curvature mode shapes. J Sound Vib 145(2):321–332

    Article  Google Scholar 

  14. Pandey A, Biswas M (1994) Damage detection in structures using changes in flexibility. J Sound Vib 169(1):3–17

    Article  Google Scholar 

  15. Stubbs N, Kim JT, Topole K (1992) An efficient and robust algorithm for damage localization in offshore platforms. In: Proceedings of the ASCE tenth structures congress, pp 543–546

  16. Alvandi A, Cremona C (2006) Assessment of vibration-based damage identification techniques. J Sound Vib 292:179–202

    Article  Google Scholar 

  17. Limongelli MP, Fathi A (2018) The interpolation method for vibration based damage localization: influence of feature uncertainties. In: Powers N,  Frangopol DM, Al-Mahaidi R, Caprani C (eds) Maintenance, safety, risk, management and life-cycle performance of bridge. Taylor & Francis Group, London, pp 953–960

    Google Scholar 

  18. Shannon C (1948) A mathematical theory of communication. Bell Syst Tech J 27:379–423, 623–656

    Article  MathSciNet  Google Scholar 

  19. Jalayer F, Beck JL, Zareian F (2012) Analyzing the sufficiency of alternative scalar and vector intensity measures of ground shaking based on information theory. J Eng Mech 138(3):307–316

    Article  Google Scholar 

  20. Capellari G, Chatzi E, Mariani S (2018) Cost–benefit optimization of structural health monitoring sensor networks. Sensors 18(7):2174

    Article  Google Scholar 

  21. Limongelli MP (2011) The interpolation damage detection method for frames under seismic excitation. J Sound Vib 330:5474–5489

    Article  Google Scholar 

  22. Trefethen L (2013) Approximation theory and approximation practice. Society for Industrial and Applied Mathematics, Philadelphia

  23. Ahlberg J, Nilson E, Walsh (1967) The theory of spline and their applications. Academia Press, Cambridge

  24. Dolce M, Nicoletti M, De Sortis A, Marchesini S, Spina D, Talanas F (2017) Osservatorio sismico delle strutture: the Italian structural seismic monitoring network. Bull Earthq Eng 15:621–641

    Article  Google Scholar 

  25. Italian Ministry of Infrastructures and Transport (2018) D.M. 17/10/2018. Aggiornamento delle «Norme tecniche per le costruzioni», Gazzetta Ufficiale, n. 42 del 20/02/2018 - Suppl. Ordinario n. 8. (In Italian) 

  26. C.S.LL.PP.  (2009) Circular 617: Istruction document to the Italian Code for Structural Design. Official Bulletin n. 617 of February 2, 2009

  27. Quqa S, Landi L, Diotallevi PP (2018) On the use of singular vectors for the flexibility-based damage detection under the assumption of unknown structural masses. Shock vib 2018:9837694

    Google Scholar 

  28. Tondreau G, Deraemaeker A (2014) Numerical and experimental analysis of uncertainty on modal parameters estimated with the stochastic subspace method. J Sound Vib 333:4376–4401

    Article  Google Scholar 

Download references

Acknowledgements

The availability of ambient vibration data for the studied bridge, provided by the Italian Seismic Observatory of structures is gratefully acknowledged. This study was partially funded by the Italian Civil Protection Department within the project DPC-RELUIS 2016—RS4 “Seismic observatory of structures and health monitoring”.

Author information

Authors and Affiliations

  1. Department ABC, Politecnico di Milano, Milan, Italy

    Maria Pina Limongelli & Pier Francesco Giordano

Authors
  1. Maria Pina Limongelli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pier Francesco Giordano
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Maria Pina Limongelli.

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

Limongelli, M., Giordano, P. Vibration-based damage indicators: a comparison based on information entropy. J Civil Struct Health Monit 10, 251–266 (2020). https://doi.org/10.1007/s13349-020-00381-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13349-020-00381-9

Keywords

Search

Navigation