Abstract

Convolution sparse representation (CSR) is a novel compressive sensing technique proposed in 2016 and provides an excellent framework for extracting the impulses induced by bearing faults and the unevenness of wheel tread. However, its sparsity performance on extracting impulses is sensitive to the improper penalty parameter. So, a novel fault detection method, appropriately sparse impulse extraction, is proposed based on the combination of CSR, estimating the number of atom types (ENA), and crest factor. The type of atoms embedded in vibration signals is estimated by ENA. Aiming at the different types of atoms, the impulses with different sparse characteristic are spanned by CSR with different penalty parameters. The appropriately sparse impulses are selected for fault detection based on the maximal crest factor. The simulation validation, experiment verification, and practical application are conducted to validate the effectiveness of the proposed appropriately sparse impulses extraction. These results show that the proposed appropriately sparse impulse extraction not only can obtain fault-characteristic frequency and its harmonics for fault judgment but also describes the dynamic behaviour between elementary defects and their matching surfaces. In addition, the proposed appropriately sparse impulse extraction can isolate the impulses with different types of atoms and is very suitable for detecting the wheelset bearing faults.

Highlights

  • A wheelset bearing is one of crucial mechanical components in a high-speed train and plays an important role in load bearing, power transmission, and motion transform

  • According to the prior knowledge about the vibration mechanism of impulses induced by bearing faults [5], an impulse can be completely described by two parameters of resonance frequency and damping coefficient

  • The proposed appropriately sparse impulse extraction based on Convolution sparse representation (CSR) and the maximal crest factor can completely extract 39 impulses embedded in signals in Figure 3(b) and capture the fault-characteristic frequency (49.1 Hz) and 40-order harmonics

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Summary

Introduction

A wheelset bearing is one of crucial mechanical components in a high-speed train and plays an important role in load bearing, power transmission, and motion transform. The CS based on the combination of matching pursuit and predefined dictionary is used to extract impulses induced by the rotational machine faults for bearing and gear fault detection [38, 39]. Because dictionary learning has the advantages and potential on mining high-level structures embedded in vibration signals over the predefined dictionary, SIDL-based CS and basis pursuit is used to extract the circular impulses submerged in the vibration signals of rotating machine system [43,44,45,46]. A novel fault detection method, appropriately sparse impulse extraction based on the combination of CSR, crest factor, and ENA, is proposed in this paper.

Basis Theory of the Appropriately Sparse Impulse Extraction
Simulation Validation
Experiment Verifications
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Practical Application
Conclusion
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