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Crack Localization Using Improved Continuous Wavelet Transform Features

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


In this paper, an enhanced damage diagnostic strategy for the localization of subtle cracks is proposed using modal parameters. The proposed work applies continuous wavelet transform (CWT) on the traditionally followed mode shape difference between the structure with and without crack as crack localization index (CLI). The CLI is further enhanced by augmentation of weighting function involving natural frequencies. This weighting function emphasizes the modes that are sensitive to crack, which improves the crack diagnosis process. Numerical studies and lab-level experiments have been performed on structures with varied crack parameters to validate the improved CWT-based proposed approach.


  • Cracks
  • Continuous wavelet transform
  • Modal analysis
  • Natural frequency
  • Crack localization
  • Structural health monitoring

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  • DOI: 10.1007/978-981-16-9093-8_11
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  1. Prawin J, Lakshmi K, Rama Mohan Rao A (2020) Structural damage diagnosis under varying environmental conditions with very limited measurements. J Intell Mater Syst Struct 31(5):665–686

    Google Scholar 

  2. Farahani RV, Penumadu D (2016) Damage identification of a full-scale five-girder bridge using time-series analysis of vibration data. Eng Struct 115:129–139

    CrossRef  Google Scholar 

  3. Husain NA, Ouyang H (2011) Detection of damage in welded structure using experimental modal data. J Phys Conf Ser 305(1):012120

    Google Scholar 

  4. Shabbir F, Khan MI, Ahmad N, Tahir MF, Ejaz N, Hussain J (2017) Structural damage detection with different objective functions in noisy conditions using an evolutionary algorithm. Appl Sci 7(12):1245

    CrossRef  Google Scholar 

  5. Prawin J, Rama Mohan Rao A (2019) A method for detecting damage-induced nonlinearity in structures using weighting function augmented curvature approach. Struct Health Monit 18(4):1154–1167

    Google Scholar 

  6. Prawin J, Rama Mohan Rao A (2019) Reference-free breathing crack identification of beam-like structures using an enhanced spatial Fourier power spectrum with exponential weighting functions. Int J Struc Stab Dyn 19(02):1950017

    Google Scholar 

  7. Sinha JK, Friswell MI, Edwards S (2002) Simplified models for the location of cracks in beam structures using measured vibration data. J Sound Vib 251(1):13–38

    Google Scholar 

  8. Brincker R, Zhang L, Andersen P (2001) Modal identification of output-only systems using frequency domain decomposition. Smart Mater Struct 10(3):441–451

    CrossRef  Google Scholar 

  9. Solís M, Algaba M, Galvín P (2013) Continuous wavelet analysis of mode shapes differences for damage detection. Mech Syst Signal Process 40(2):645–666

    CrossRef  Google Scholar 

  10. Taha MR, Noureldin A, Lucero JL, Baca TJ (2006) Wavelet transform for structural health monitoring: a compendium of uses and features. Struct Health Monit 5(3):267–295

    CrossRef  Google Scholar 

  11. Kim H, Melhem H (2004) Damage detection of structures by wavelet analysis. Eng Struct 26(3):347–362

    CrossRef  Google Scholar 

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The first author acknowledges the support of professional and technical help received including lab-level experiment from SERC—CSIR, Chennai.

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© 2022 Indian Society for Non-destructive Testing

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Madankumar, P., Prawin, J. (2022). Crack Localization Using Improved Continuous Wavelet Transform Features. In: Mandayam, S., Sagar, S.P. (eds) Advances in Non Destructive Evaluation. NDE 2020. Lecture Notes in Mechanical Engineering. Springer, Singapore.

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-9092-1

  • Online ISBN: 978-981-16-9093-8

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