Abstract
An impact on the rim of a railroad wheel causes a wave which travels around the rim at a constant speed. The reflection of this rim wave from a thermal crack can be isolated from other traveling wavelets by using a complex cepstrum analysis. The power cepstrum has already been used to detect the presence of a hand‐made surface crack in a wheel rim [M. N. Fahmy and R. D. Finch, J. Acoust. Soc. Am. 75, 1283–1290 (1984)]. Signals from three wheels with different crack sizes and types were analyzed and the ratio between the maximum amplitude of the reflection echo to the maximum amplitude of the incident wavelet (AR) was measured. The AR values measured experimentally were compared with values obtained theoretically. Field data were collected from a test consist train having wheels with different known defective conditions. Both power and complex cepstrum analysis were used in the analysis of the field data and the detection rate was 91% and the false alarm rate was 28%. In the cepstrum analysis, the aliasing error was measured and the minimum phase condition was used with the complex cepstrum analysis.
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