Fault Transients Extraction of Rolling Bearings under Varying Speed via Modified Continuous Wavelet Transform Enhanced Nonconvex Sparse Representation

doi:10.3901/JME.2025.01.172

Abstract

Abstract: To extract the nonperiodic fault transients of rolling bearings under varying speed with high fidelity, a method termed nonconvex sparse representation enhanced by modified continuous Morlet wavelet transform is proposed. A waveform adjusting factor is introduced which enables the modified Morlet wavelet to well match the fault impulses with different oscillating properties, and an index termed angular envelope harmonic to noise ratio is developed based on which the waveform adjusting factor and threshold are optimized. The modified continuous Morlet wavelet transform enjoys higher coefficients sparisity in decomposing the vibration signal compared with discrete wavelet transforms. The sparse representation model is then fabricated via combining the modified continuous Morlet wavelet transform with the nonconvex penalty function, and nonperiodic fault transients are extracted via further solving the sparse model. The effectiveness of the proposed method is validated via analysing both simulation and experimental data, as well as compared with traditional thresholding denoising, frequency band filtering, and tunable Q-factor wavelet transform enhanced sparse representation methods. The results show that the proposed method could effectively extract the nonperiodic fault impulses of rolling bearings under time-varying speed with high fidelity.

Key words: bearings under variable speed, nonperiodic fault transients, modified continuous Morlet wavelet transform, nonconvex sparse representation, angular envelope harmonic-to-noise ratio

CLC Number:

TH17
TH133

ZHANG Chunlin, WU Yunheng, CAI Keshen, FENG Yadong, WAN Fangyi, ZHANG An. Fault Transients Extraction of Rolling Bearings under Varying Speed via Modified Continuous Wavelet Transform Enhanced Nonconvex Sparse Representation[J]. Journal of Mechanical Engineering, 2025, 61(1): 172-186.

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