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Proceedings of the 13th International Conference on Damage Assessment of Structures pp 135–149Cite as

Application of Wavelet Analysis for Crack Localization and Quantification in Beams Using Static Deflections

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

Abstract

Wavelet analysis has been proven to be an efficient tool for identifying singularities in signals, such as the effect of damage in structural deflections. This paper establishes a new approach applying this technique to identify cracks in beams using static measurements. The deflection difference of the beam before and after damage is a piecewise polynomial with discontinuities at crack locations. The crack positions can be identified at apexes of the continuous wavelet transform coefficients. At damage locations, a damage index can be defined from the y-intercept of the linear regression between the logarithms of wavelet coefficients and their corresponding scales. By normalizing itself to the internal bending moment at the damage location, the damage index becomes damage location independent. Through a numerical model, a reference map between the crack depth and the damage index can be established and further used for damage severity assessment.

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Acknowledgments

This work was supported by the Consejería de Economía, Innovación, Ciencia y Empleo of Andalucía (Spain) under project P12-TEP-2546 and the Spanish Ministry of Economy and Competitiveness (Ministerio de Economía y Competitividad, Secretaría de Estado de Investigación, Desarrollo e Innovación) through research project BIA2016-43085-P. The financial support is gratefully acknowledged.

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Authors and Affiliations

  1. Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Camino de los Descubrimientos, 41092, Sevilla, Spain

    Qiaoyu Ma & Mario Solís

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  1. Qiaoyu Ma
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  2. Mario Solís
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Correspondence to Mario Solís .

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Editors and Affiliations

  1. Laboratory Soete, Ghent University, Ghent, Belgium

    Magd Abdel Wahab

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Ma, Q., Solís, M. (2020). Application of Wavelet Analysis for Crack Localization and Quantification in Beams Using Static Deflections. 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_10

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  • DOI: https://doi.org/10.1007/978-981-13-8331-1_10

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-8330-4

  • Online ISBN: 978-981-13-8331-1

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