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Physics and Mathematics

August 1, 2025; Seoul, South Korea: VI International Scientific and Practical Conference «THEORETICAL AND PRACTICAL ASPECTS OF MODERN SCIENTIFIC RESEARCH»


HAAR-WAVELET METHOD FOR DAMAGE DETECTION IN COMPOSITE STRUCTURES


DOI
https://doi.org/10.36074/logos-01.08.2025.024
Published
01.08.2025

Abstract

In recent years, wavelet analysis has emerged as a powerful mathematical tool for analyzing non-stationary signals, offering superior time-frequency localization compared to traditional Fourier analysis. This characteristic makes wavelet transforms particularly well-suited for processing signals obtained from structural health monitoring (SHM) systems, where damage often manifests as localized changes in the dynamic response of a structure. Among the various wavelet families, Haar-wavelets stand out due to their simplicity, computational efficiency, and ability to detect abrupt changes or discontinuities in signals. Their orthogonal and compact support properties make them an attractive choice for identifying localized damage events.

References

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  2. Marec, A., Thomas, J. H., & El Guerjouma, R. (2008). Damage characterization of polymer-based composite materials: Multivariable analysis and wavelet transform for clustering acoustic emission data. Mechanical systems and signal processing, 22(6), 1441-1464. https://doi.org/10.1016/j.ymssp.2007.11.029

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