In order to achieve status identification of rolling bearing at early fault stage under variable speed conditions, a method called IEWT-based enhanced envelope order spectrum is proposed by improving empirical wavelet transform (IEWT) using cuckoo search algorithm (CSA) and combing IEWT with the compute order tracking (COT) approach and singular value ratio spectrum (SVRS) denoising technology. The inherent deficiencies of traditional EWT limit its application in fault signal processing significantly. In order to address this issue, the support interval of an empirical wavelet is adaptively determined by CSA to ensure the accuracy of signal decomposition, and an IEWT method is proposed. For a given bearing fault signal under fluctuating speed conditions, firstly COT is utilized as a preprocessing technology to convert the original time domain signal into the resampled angle domain signal without special hardware. Then, IEWT is used to separate the informative component effectively from the resampled signal. Due to the weak features and the heavy noises in the early fault signal, IEWT is unable to remove the whole interference contained in the separated component directly. Thus, SVRS denoising technology is applied on the envelope signal of the separated signal to further enhance the potential impulsive features and suppress the residual noises. Finally, the fault type of rolling bearing can be determined by analyzing the obtained enhanced envelope order spectrum. Both the simulated and the experimental signals are used to verify the effectiveness of the proposed method, and the comparisons between the proposed method and the EEWT, the EMD, and the spectral kurtosis methods are carried out. The results indicate the proposed method possesses significant advantages in bearing weak fault diagnosis under variable speed condition.
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