A novel adaptive wavelet stripping algorithm for extracting the transients caused by bearing localized faults

•Parametric model of anti-symmetric real Laplace wavelet is built.•Simulated transients can be adaptively peeled from a bearing fault signal.•Each of simulated transients is well matched with its corresponding real transient.•Spatial reconstruction of simulated transients reflects random characteristics of real transients.•Adaptive wavelet stripping algorithm is automatically terminated.

Rolling element bearings are widely used in rotating machinery. Its unexpected failure may result in machine breakdown. Whenever a bearing suffers a localized fault, the transients with a potential cyclic characteristic are generated by the rollers striking the localized fault. This phenomenon is an early bearing fault feature. Therefore, the extraction of the transients is beneficial to the identification of the early bearing fault. In this paper, a novel adaptive wavelet stripping algorithm (AWSA) is proposed to extract the simulated transients from an original bearing fault signal. Firstly, the parametric model of anti-symmetric real Laplace wavelet (ARLW) or impulse response wavelet (IRW) is built to approximate the real transients. Then, with the aid of wavelet correlation filtering analysis, the simulated transients with the optimal frequency, damping coefficient and delay time are adaptively peeled from the original bearing fault signal. The spatial reconstruction of the simulated transients reflects the random occurrence of the real transients. In order to boost the computing time of the AWSA, an enhanced AWSA is developed. At last, the bearing fault signals collected from an experimental machine and an industrial machine are used to validate the effectiveness of the AWSA. The results show that the AWSA can adaptively peel the simulated transients from the original bearing fault signals. A comparison with a periodic multi-transient model is conducted to show that the AWSA is better to extract the random characteristics of the real transients.