Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis
Stochastic resonance (SR) as effective approach for weak signal detection has been widely used in bearing fault signal diagnosis. In this paper, a new method was proposed to detect fault signals, which consists of an exponential bistable potential model generalized by using a harmonic Potential (HP)...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
IEEE
2018-01-01
|
Series: | IEEE Access |
Subjects: | |
Online Access: | https://ieeexplore.ieee.org/document/8412177/ |
id |
doaj-e671065608e7473cba62a51754300603 |
---|---|
record_format |
Article |
spelling |
doaj-e671065608e7473cba62a517543006032021-03-29T21:06:24ZengIEEEIEEE Access2169-35362018-01-016424314244410.1109/ACCESS.2018.28566208412177Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault DiagnosisGang Zhang0Yijun Zhang1https://orcid.org/0000-0003-0070-2523Tianqi Zhang2Jiao Xiao3Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, ChinaChongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, ChinaChongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, ChinaChongqing Key Laboratory of Mobile Communication, Chongqing University of Posts and Telecommunications, Chongqing, ChinaStochastic resonance (SR) as effective approach for weak signal detection has been widely used in bearing fault signal diagnosis. In this paper, a new method was proposed to detect fault signals, which consists of an exponential bistable potential model generalized by using a harmonic Potential (HP) model, a Gaussian potential (GP) model and second-order underdamped system. As the classical bistable SR (CBSR) has the disadvantage of output saturation, which will suppress the optimal signal-to-noise ratio (SNR) of the system, therefore, underdamped SR with exponential potential (UESR) and underdamped SR with classical bistable potential (UCSR) are applied to detect fault signal, respectively. Under the adiabatic condition, the analytical expression of the SNR is calculated for the UESR system driven by Gaussian white noise and periodic signal. Then, the effects of system parameters and the damping factor on analytical expression of SNR as a function of noise intensity for different parameters are studied, respectively. Finally, the proposed method is applied to detect simulated fault signals and actual bearing fault signals. The experimental results show that the proposed UESR method is superior to the UCSR method in fault signal diagnosis, such as larger output SNR and higher spectrum peaks at fault characteristic frequencies.https://ieeexplore.ieee.org/document/8412177/Stochastic resonanceexponential potentialunderdamped systemsignal-to-noise ratiobearing fault diagnosis |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gang Zhang Yijun Zhang Tianqi Zhang Jiao Xiao |
spellingShingle |
Gang Zhang Yijun Zhang Tianqi Zhang Jiao Xiao Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis IEEE Access Stochastic resonance exponential potential underdamped system signal-to-noise ratio bearing fault diagnosis |
author_facet |
Gang Zhang Yijun Zhang Tianqi Zhang Jiao Xiao |
author_sort |
Gang Zhang |
title |
Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis |
title_short |
Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis |
title_full |
Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis |
title_fullStr |
Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis |
title_full_unstemmed |
Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis |
title_sort |
stochastic resonance in second-order underdamped system with exponential bistable potential for bearing fault diagnosis |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2018-01-01 |
description |
Stochastic resonance (SR) as effective approach for weak signal detection has been widely used in bearing fault signal diagnosis. In this paper, a new method was proposed to detect fault signals, which consists of an exponential bistable potential model generalized by using a harmonic Potential (HP) model, a Gaussian potential (GP) model and second-order underdamped system. As the classical bistable SR (CBSR) has the disadvantage of output saturation, which will suppress the optimal signal-to-noise ratio (SNR) of the system, therefore, underdamped SR with exponential potential (UESR) and underdamped SR with classical bistable potential (UCSR) are applied to detect fault signal, respectively. Under the adiabatic condition, the analytical expression of the SNR is calculated for the UESR system driven by Gaussian white noise and periodic signal. Then, the effects of system parameters and the damping factor on analytical expression of SNR as a function of noise intensity for different parameters are studied, respectively. Finally, the proposed method is applied to detect simulated fault signals and actual bearing fault signals. The experimental results show that the proposed UESR method is superior to the UCSR method in fault signal diagnosis, such as larger output SNR and higher spectrum peaks at fault characteristic frequencies. |
topic |
Stochastic resonance exponential potential underdamped system signal-to-noise ratio bearing fault diagnosis |
url |
https://ieeexplore.ieee.org/document/8412177/ |
work_keys_str_mv |
AT gangzhang stochasticresonanceinsecondorderunderdampedsystemwithexponentialbistablepotentialforbearingfaultdiagnosis AT yijunzhang stochasticresonanceinsecondorderunderdampedsystemwithexponentialbistablepotentialforbearingfaultdiagnosis AT tianqizhang stochasticresonanceinsecondorderunderdampedsystemwithexponentialbistablepotentialforbearingfaultdiagnosis AT jiaoxiao stochasticresonanceinsecondorderunderdampedsystemwithexponentialbistablepotentialforbearingfaultdiagnosis |
_version_ |
1724193576107114496 |