The spectral amplitude modulation: A nonlinear filtering process for diagnosis of rolling element bearings

Abstract Rolling element bearings are the critical parts of every rotating machinery and their failure is one of the main reason of the machine downtime and even breakdown. For this reason, various methods have been proposed in the past for their early diagnosis. Among them, envelope analysis and cyclic spectral analysis (CSA) are the most effective and widely used approaches, working according to the principle of linear filtering process of signals to remove undesirable components. However, in many cases machine structures are excited in different frequency ranges by impacts generated when defects are engaged, hence, the signal should be filtered for multiple frequency bands to completely extract the defect signals. Also, finding the proper frequency bands for demodulation is not always a simple task. To overcome these challenges, in this paper an empirical and automated nonlinear filtering process will be proposed in which different components of a signal are decomposed based on their powers. Then, their squared envelope spectra are computed to seek the presence of bearings characteristic frequencies. Therefore, this method can be seen as complementary to the narrowband amplitude demodulation techniques. The phase of each filtered component is similar to the phase of the original signal but the magnitude is transformed. The idea is that reconstruction of a signal only by its phase preserves many useful features. A similar approach is employed by cepstrum pre-whitening for bearings diagnosis to reduce the effect of powerful exogenous sources which mask the bearings signals and, despite its simplicity, has achieved noteworthy outcomes. Finally, the performance of the proposed method is validated on real case data recorded from two test rigs. Also, its effectiveness is investigated under constant and variable speed regimes and in presence of various level of Gaussian and non-Gaussian (highly impulsive) background noise.

[1]  A.V. Oppenheim,et al.  The importance of phase in signals , 1980, Proceedings of the IEEE.

[2]  Arun K. Samantaray,et al.  Rolling element bearing defect diagnosis under variable speed operation through angle synchronous averaging of wavelet de-noised estimate , 2016 .

[3]  Pietro Borghesani,et al.  The envelope-based cyclic periodogram , 2015 .

[4]  Luigi Garibaldi,et al.  Analysis of Autogram Performance for Rolling Element Bearing Diagnosis by Using Different Data Sets , 2018, Applied Condition Monitoring.

[5]  J. Antoni Cyclostationarity by examples , 2009 .

[6]  Robert H. Badgley,et al.  Application of High-Frequency Resonance Techniques for Bearing Diagnostics in Helicopter Gearboxes , 1974 .

[7]  Jae S. Lim,et al.  Phase in speech and pictures , 1979, ICASSP.

[8]  J. Antoni,et al.  Fast computation of the spectral correlation , 2017 .

[9]  Alessandro Fasana,et al.  The Autogram: An effective approach for selecting the optimal demodulation band in rolling element bearings diagnosis , 2018 .

[10]  Robert B. Randall,et al.  Application of cepstrum pre-whitening for the diagnosis of bearing faults under variable speed conditions , 2013 .

[11]  J. Antoni Cyclic spectral analysis of rolling-element bearing signals : Facts and fictions , 2007 .

[12]  Robert B. Randall,et al.  Rolling element bearing diagnostics—A tutorial , 2011 .

[13]  Jan Helsen,et al.  A comparison of cepstral editing methods as signal pre-processing techniques for vibration-based bearing fault detection , 2017 .

[14]  Henrik Herlufsen,et al.  Envelope and Cepstrum Analyses for Machinery Fault Identification , 2010 .

[15]  P. Borghesani,et al.  Cyclostationary analysis with logarithmic variance stabilisation , 2016 .

[16]  Robert B. Randall,et al.  A New Method for Separating Discrete Components from a Signal , 2011 .

[17]  Robert B. Randall,et al.  Optimised Spectral Kurtosis for bearing diagnostics under electromagnetic interference , 2016 .

[18]  Robert B. Randall,et al.  Differential Diagnosis of Gear and Bearing Faults , 2002 .

[19]  Robert B. Randall,et al.  A history of cepstrum analysis and its application to mechanical problems , 2017 .

[20]  J. Antoni Cyclic spectral analysis in practice , 2007 .

[21]  William A. Gardner,et al.  Measurement of spectral correlation , 1986, IEEE Trans. Acoust. Speech Signal Process..

[22]  Robert B. Randall,et al.  Rolling element bearing diagnostics using the Case Western Reserve University data: A benchmark study , 2015 .

[23]  Tomasz Barszcz,et al.  A novel method for the optimal band selection for vibration signal demodulation and comparison with the Kurtogram , 2011 .

[24]  J. Antoni Fast computation of the kurtogram for the detection of transient faults , 2007 .