On the continuous wavelet transforms applied to discrete vibrational data for detecting open cracks in damaged beams

By A. Gentile, Arcangelo Messina. 2003

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Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals (2016, background): “Gentile and Messina [68] as well as Hong et al.”
Refinements of damage detection methods based on wavelet analysis of dynamical shapes (2008, methodology): “…between CWT and differentiator FIR filters Messina (2004); all the analytical and experimental tests are based on a highly redundant number of points (a few hundreds) in order to stay in line with the past investigations (Gentile and Messina, 2003; Messina, 2004; Trentadue et al., 2007).”
Experimental structural damage localization in beam structure using spatial continuous wavelet transform and mode shape curvature methods (2017, methodology): “The coefficients of a CWT are calculated as follows [31,20]”
Damage detection by modal curvatures: numerical issues (2016, background): “In contrast, a trade-off for the scale is required to tackle noisy data through continuous wavelet transforms (Gentile and Messina, 2003), and thus curvatures have to be observed within a multiscale space (Cao et al., 2014).”