A lifting undecimated wavelet transform and its applications

Duan, Chang‐Kui; Gao, Qiang

doi:10.1007/s10845-008-0094-4

Cited by 3 publications

(1 citation statement)

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“…So singularity information of the mode shape is not identified directly without further analysis. Wavelet transform is a useful tool to detect local singularity characteristic of many different kinds of signals through decomposing the signals [23][24][25][26][27]. These methods treat mode shape data as a signal in spatial domain, and they use spatial wavelet transform technique to detect the irregularity of the signal caused by crack.…”

Section: Introductionmentioning

confidence: 99%

Identification of Crack Location in Beam Structures Using Wavelet Transform and Fractal Dimension

Jiang

Zhang

et al. 2015

Shock and Vibration

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Identification of structural crack location has become an intensely investigated subject due to its practical importance. In this paper, a hybrid method is presented to detect crack locations using wavelet transform and fractal dimension (FD) for beam structures. Wavelet transform is employed to decompose the mode shape of the cracked beam. In many cases, small crack location cannot be identified from approximation signal and detailed signals. And FD estimation method is applied to calculate FD parameters of detailed signals. The crack locations will be detected accurately by FD singularity of the detailed signals. The effectiveness of the proposed method is validated by numerical simulations and experimental investigations for a cantilever beam. The results indicate that the proposed method is feasible and can been extended to more complex structures.

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Section: Introductionmentioning

confidence: 99%