Weak Feature Extraction of Local Gear Damage Based on Underdamped Asymmetric Periodic Potential Stochastic Resonance

The enhancement of the detection of weak signals against a strong noise background is a key problem in local gear fault diagnosis. Because the periodic impact signal generated by local gear damage is often modulated by high-frequency components, fault information is submerged in its envelope signal...

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Main Authors: Bingbing Hu, Shuai Zhang, Ming Peng, Jie Liu, Shanhui Liu, Chunlin Zhang
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/11/2008
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author Bingbing Hu
Shuai Zhang
Ming Peng
Jie Liu
Shanhui Liu
Chunlin Zhang
author_facet Bingbing Hu
Shuai Zhang
Ming Peng
Jie Liu
Shanhui Liu
Chunlin Zhang
author_sort Bingbing Hu
collection DOAJ
description The enhancement of the detection of weak signals against a strong noise background is a key problem in local gear fault diagnosis. Because the periodic impact signal generated by local gear damage is often modulated by high-frequency components, fault information is submerged in its envelope signal when demodulating the fault signal. However, the traditional bistable stochastic resonance (BSR) system cannot accurately match the asymmetric characteristics of the envelope signal because of its symmetrical potential well, which weakens the detection performance for weak faults. In order to overcome this problem, a novel method based on underdamped asymmetric periodic potential stochastic resonance (UAPPSR) is proposed to enhance the weak feature extraction of the local gear damage. The main advantage of this method is that it can better match the characteristics of the envelope signal by using the asymmetry of its potential well in the UAPPSR system and it can effectively enhance the extraction effect of periodic impact signals. Furthermore, the proposed method enjoys a good anti-noise capability and robustness and can strengthen weak fault characteristics under different noise levels. Thirdly, by reasonably adjusting the system parameters of the UAPPSR, the effective detection of input signals with different frequencies can be realized. Numerical simulations and experimental tests are performed on a gear with a local root crack, and the vibration signals are analyzed to validate the effectiveness of the proposed method. The comparison results show that the proposed method possesses a better resonance output effect and is more suitable for weak fault feature extraction under a strong noise background.
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spelling doaj.art-a7d8513a792943eaab51a230b13ceec62023-11-23T01:43:18ZengMDPI AGSymmetry2073-89942021-10-011311200810.3390/sym13112008Weak Feature Extraction of Local Gear Damage Based on Underdamped Asymmetric Periodic Potential Stochastic ResonanceBingbing Hu0Shuai Zhang1Ming Peng2Jie Liu3Shanhui Liu4Chunlin Zhang5Faculty of Printing, Packaging Engineering and Digital Media Technology, Xi’an University of Technology, Xi’an 710048, ChinaFaculty of Printing, Packaging Engineering and Digital Media Technology, Xi’an University of Technology, Xi’an 710048, ChinaBeijing Electromechanical Products Standard Quality Monitor Center, Beijing 100026, ChinaFaculty of Printing, Packaging Engineering and Digital Media Technology, Xi’an University of Technology, Xi’an 710048, ChinaFaculty of Printing, Packaging Engineering and Digital Media Technology, Xi’an University of Technology, Xi’an 710048, ChinaSchool of Aeronautics, Northwest Polytechnical University, Xi’an 710072, ChinaThe enhancement of the detection of weak signals against a strong noise background is a key problem in local gear fault diagnosis. Because the periodic impact signal generated by local gear damage is often modulated by high-frequency components, fault information is submerged in its envelope signal when demodulating the fault signal. However, the traditional bistable stochastic resonance (BSR) system cannot accurately match the asymmetric characteristics of the envelope signal because of its symmetrical potential well, which weakens the detection performance for weak faults. In order to overcome this problem, a novel method based on underdamped asymmetric periodic potential stochastic resonance (UAPPSR) is proposed to enhance the weak feature extraction of the local gear damage. The main advantage of this method is that it can better match the characteristics of the envelope signal by using the asymmetry of its potential well in the UAPPSR system and it can effectively enhance the extraction effect of periodic impact signals. Furthermore, the proposed method enjoys a good anti-noise capability and robustness and can strengthen weak fault characteristics under different noise levels. Thirdly, by reasonably adjusting the system parameters of the UAPPSR, the effective detection of input signals with different frequencies can be realized. Numerical simulations and experimental tests are performed on a gear with a local root crack, and the vibration signals are analyzed to validate the effectiveness of the proposed method. The comparison results show that the proposed method possesses a better resonance output effect and is more suitable for weak fault feature extraction under a strong noise background.https://www.mdpi.com/2073-8994/13/11/2008stochastic resonanceunderdampedasymmetric periodic potentiallocal gear damageweak feature extraction
spellingShingle Bingbing Hu
Shuai Zhang
Ming Peng
Jie Liu
Shanhui Liu
Chunlin Zhang
Weak Feature Extraction of Local Gear Damage Based on Underdamped Asymmetric Periodic Potential Stochastic Resonance
Symmetry
stochastic resonance
underdamped
asymmetric periodic potential
local gear damage
weak feature extraction
title Weak Feature Extraction of Local Gear Damage Based on Underdamped Asymmetric Periodic Potential Stochastic Resonance
title_full Weak Feature Extraction of Local Gear Damage Based on Underdamped Asymmetric Periodic Potential Stochastic Resonance
title_fullStr Weak Feature Extraction of Local Gear Damage Based on Underdamped Asymmetric Periodic Potential Stochastic Resonance
title_full_unstemmed Weak Feature Extraction of Local Gear Damage Based on Underdamped Asymmetric Periodic Potential Stochastic Resonance
title_short Weak Feature Extraction of Local Gear Damage Based on Underdamped Asymmetric Periodic Potential Stochastic Resonance
title_sort weak feature extraction of local gear damage based on underdamped asymmetric periodic potential stochastic resonance
topic stochastic resonance
underdamped
asymmetric periodic potential
local gear damage
weak feature extraction
url https://www.mdpi.com/2073-8994/13/11/2008
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AT mingpeng weakfeatureextractionoflocalgeardamagebasedonunderdampedasymmetricperiodicpotentialstochasticresonance
AT jieliu weakfeatureextractionoflocalgeardamagebasedonunderdampedasymmetricperiodicpotentialstochasticresonance
AT shanhuiliu weakfeatureextractionoflocalgeardamagebasedonunderdampedasymmetricperiodicpotentialstochasticresonance
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