Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing Oscillator

Aiming at the problems of the low detection accuracy and difficult identification of the early weak fault signals of rolling bearings, this paper proposes a method for detecting the early weak fault signals of rolling bearings based on a double-coupled Duffing system and VMD. The influence rule of s...

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Main Authors: Shijie Shan, Jianming Zheng, Kai Wang, Ting Chen, Yuhua Shi
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/14/8505
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author Shijie Shan
Jianming Zheng
Kai Wang
Ting Chen
Yuhua Shi
author_facet Shijie Shan
Jianming Zheng
Kai Wang
Ting Chen
Yuhua Shi
author_sort Shijie Shan
collection DOAJ
description Aiming at the problems of the low detection accuracy and difficult identification of the early weak fault signals of rolling bearings, this paper proposes a method for detecting the early weak fault signals of rolling bearings based on a double-coupled Duffing system and VMD. The influence rule of system initial value on the response characteristics of a double-coupled Duffing system is studied, and the basis for its determination is given. The frequency of the built-in power of the system is normalized, and a variance evaluation standard for the output value of the double-coupled Duffing system for weak fault signals detection is established. In order to solve the interference problem of fault monitoring signals, VMD is proposed to pre-process the fault monitoring signals. The weak fault signal detection method proposed in this paper is tested and verified by simulation signals and rolling bearing fault signals. The results show that the method proposed in this paper can detect the weak fault signal with the lowest signal-to-noise ratio reduced by 2.96 dB compared with the traditional Duffing detection system, and it can accurately detect the early weak fault signal of rolling bearings.
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spelling doaj.art-2d04f873f5a441bab722be098c2b8f8e2023-11-18T18:14:01ZengMDPI AGApplied Sciences2076-34172023-07-011314850510.3390/app13148505Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing OscillatorShijie Shan0Jianming Zheng1Kai Wang2Ting Chen3Yuhua Shi4School of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Mechanical and Precision Instrument Engineering, Xi’an University of Technology, Xi’an 710048, ChinaAiming at the problems of the low detection accuracy and difficult identification of the early weak fault signals of rolling bearings, this paper proposes a method for detecting the early weak fault signals of rolling bearings based on a double-coupled Duffing system and VMD. The influence rule of system initial value on the response characteristics of a double-coupled Duffing system is studied, and the basis for its determination is given. The frequency of the built-in power of the system is normalized, and a variance evaluation standard for the output value of the double-coupled Duffing system for weak fault signals detection is established. In order to solve the interference problem of fault monitoring signals, VMD is proposed to pre-process the fault monitoring signals. The weak fault signal detection method proposed in this paper is tested and verified by simulation signals and rolling bearing fault signals. The results show that the method proposed in this paper can detect the weak fault signal with the lowest signal-to-noise ratio reduced by 2.96 dB compared with the traditional Duffing detection system, and it can accurately detect the early weak fault signal of rolling bearings.https://www.mdpi.com/2076-3417/13/14/8505fault diagnosisdouble-coupled Duffing systemVMDvariance
spellingShingle Shijie Shan
Jianming Zheng
Kai Wang
Ting Chen
Yuhua Shi
Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing Oscillator
Applied Sciences
fault diagnosis
double-coupled Duffing system
VMD
variance
title Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing Oscillator
title_full Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing Oscillator
title_fullStr Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing Oscillator
title_full_unstemmed Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing Oscillator
title_short Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing Oscillator
title_sort weak fault diagnosis method of rolling bearings based on variational mode decomposition and a double coupled duffing oscillator
topic fault diagnosis
double-coupled Duffing system
VMD
variance
url https://www.mdpi.com/2076-3417/13/14/8505
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AT jianmingzheng weakfaultdiagnosismethodofrollingbearingsbasedonvariationalmodedecompositionandadoublecoupledduffingoscillator
AT kaiwang weakfaultdiagnosismethodofrollingbearingsbasedonvariationalmodedecompositionandadoublecoupledduffingoscillator
AT tingchen weakfaultdiagnosismethodofrollingbearingsbasedonvariationalmodedecompositionandadoublecoupledduffingoscillator
AT yuhuashi weakfaultdiagnosismethodofrollingbearingsbasedonvariationalmodedecompositionandadoublecoupledduffingoscillator