Abstract

To improve the performance of single-channel, multi-fault blind source separation (BSS), a novel method based on regenerated phase-shifted sinusoid-assisted empirical mode decomposition (RPSEMD) is proposed in this paper. The RPSEMD method is used to decompose the original single-channel vibration signal into several intrinsic mode functions (IMFs), with the obtained IMFs and original signal together forming a new observed signal for the dimensional lifting. Therefore, an undetermined problem is transformed into a positive definite problem. Compared with the existing EMD method and its improved version, the proposed RPSEMD method performs better in solving the mode mixing problem (MMP) by employing sinusoid-assisted technology. Meanwhile, it can also reduce the computational load and reconstruction errors. The number of source signals is estimated by adopting singular value decomposition (SVD) and Bayes information criterion (BIC). Simulation analysis has demonstrated the superiority of this method being applied in multi-fault BSS. Furthermore, its effectiveness in identifying the multi-fault features of rolling-bearing has been also verified based on a test rig.

Highlights

  • For the diagnosis of mechanical faults, vibration signals always contain a wealth of information as they indicate the operating status of the equipment, with specific physical meanings

  • In the practical production environment or industrial field, the fault of a certain part in mechanical equipment is always accompanied by other faults—for instance, faults often occur in the bearings and gears simultaneously

  • The space-time method was first proposed by Davies [20], with its key idea relying on delaying the single-channel mixed signal to obtain the virtual multi-channel signal, which was thereafter processed by Independent Component Analysis (ICA) [21,22,23,24,25,26,27,28]

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Summary

Introduction

For the diagnosis of mechanical faults, vibration signals always contain a wealth of information as they indicate the operating status of the equipment, with specific physical meanings. The space-time method was first proposed by Davies [20], with its key idea relying on delaying the single-channel mixed signal to obtain the virtual multi-channel signal, which was thereafter processed by Independent Component Analysis (ICA) [21,22,23,24,25,26,27,28]. The number of the added noises can be lower, with the subsequent computational efficiency being higher This method is called complementary ensemble empirical mode decomposition (CEEMD) [38]. The results of the numerical simulation and experiment show that the proposed method has obvious advantages compared to the blind source separation of single-channel composite fault and performs well in the extraction of the fault features of rolling-bearing

Regenerated Phase-Shifted Sinusoid-Assisted EMD Theory
The Basic Principle of Blind Source Separation
Source Number Estimation Based on Bayesian Information Criterion
The Main Computational Steps of the Proposed Method
Simulation Signal Analysis
The for Ensemble
Multi-Fault Separation of Simulation Signal Analysis
Analysis of the Rolling-Bearing on an Experimental Bench
Conclusions
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