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| Application of wavelet analysis to crack identification in a cantilever beam |
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| DOI：10.7511/jslx20085138 |
| KeyWord:damage detection,crack,wavelet analysis,online diagnosis |
| MA Hong-wei ZHANG Wei-wei WANG Zhi-hua |
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| Abstract: |
| The wavelet transform is applied to the spatial-frequency analysis of the first four modes of the cracked cantilever beam.The position of the crack is located by the sudden change in the spatial variation of the transformed response.The sensitivity of the first four mode shapes to crack location and depth are discussed.Furthermore,the defined intensity factor,which derives from a relation between behavior of the wavelet maxima for different scales and the Lipschitz exponent,can be used to estimate the size of the crack.To investigate the effect of noise or measurement error on the proposed detection process,the theoretical modes added some noise are also analyzed.The simulation results illustrate that both crack position and size can be detected exactly by sym4 wavelet transform of the first four mode shapes in spatial domain.And the second mode is considered as competitive candidate for crack parameter identification comparing the other mode for cantilever beam for excellent tolerance of the noise using the present method.It is also seen that the effect of the noise is negligible for identification of crack location,but the identified crack depth is always higher than the actual depth because of adding the components of noise. |
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