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Generalized Parameter-Adjusted Stochastic Resonance of Duffing Oscillator and Its Application to Weak-Signal Detection

Zhi-Hui Lai, Yong-Gang Leng
2015 Sensors  
A two-dimensional Duffing oscillator which can produce stochastic resonance (SR) is studied in this paper.  ...  We introduce its SR mechanism and present a generalized parameter-adjusted SR (GPASR) model of this oscillator for the necessity of parameter adjustments.  ...  Author Contributions Zhi-Hui Lai mainly focused on studying and developing the GPASR method, and applied the proposed method to detect the weak fault signals.  ... 
doi:10.3390/s150921327 pmid:26343671 pmcid:PMC4610422 fatcat:xjxtprzurrflxmpy7cnyjjt3cm

Partly Duffing Oscillator Stochastic Resonance Method and Its Application on Mechanical Fault Diagnosis

Jian Dang, Rong Jia, Xingqi Luo, Hua Wu, Diyi Chen
2016 Shock and Vibration  
Therefore, this paper proposes a partly Duffing oscillator SR method to extract the fault feature of mechanical system.  ...  Stochastic resonance (SR), as a method of utilizing noise to amplify weak signals in nonlinear dynamical systems, can detect weak signals overwhelmed in the noise.  ...  According to the mechanism of Duffing oscillator SR, the weak signal detecting result of SR method is closely related to the noise intensity [21] .  ... 
doi:10.1155/2016/3109385 fatcat:k5g6jvmqrzfl7bkudtlpztzrc4

Stochastic resonance and bifurcation of order parameter in a coupled system of underdamped Duffing oscillators [article]

Ruonan Liu, Yanmei Kang, Yuxuan Fu, Guanrong Chen
2019 arXiv   pre-print
With the spectral amplification factor as a quantifying index, calculation by the method of moments discloses that both mono-peak and double-peak resonance might appear, and that noise can greatly signify  ...  Also, it reveals that for some driving frequencies, the optimal stochastic resonance parameter and the critical bifurcation parameter have a close relationship.  ...  These new observations offer a good reference for practical applications, including weak signal detection and early mechanical fault diagnosis, for which one could use the critical control parameters of  ... 
arXiv:1901.03955v1 fatcat:i4kiaonganbbjp4rjevs2m5zkm

Rolling Bearing Fault Signal Extraction Based on Stochastic Resonance-Based Denoising and VMD

Xiaojiao Gu, Changzheng Chen
2017 International Journal of Rotating Machinery  
The amplitude of the fault signal is enhanced. Then the VMD method is used to decompose the denoised signal to realize the extraction of fault weak signals.  ...  Firstly, stochastic resonance parameters are optimized adaptively by using quantum particle swarm optimization algorithm according to the characteristics of the original fault vibration signal.  ...  Acknowledgments This research was financially supported by the National Natural Science Foundation of China (Grants nos. 51675350 and 51575361) and the Doctoral Research Initial Fund of Liaoning Province  ... 
doi:10.1155/2017/3595871 fatcat:7t7dvmvknjhglbzbv4tqqugzrq

Enhanced Bearing Fault Detection Using Step-Varying Vibrational Resonance Based on Duffing Oscillator Nonlinear System

Yongbin Liu, Zhijia Dai, Siliang Lu, Fang Liu, Jiwen Zhao, Jiale Shen
2017 Shock and Vibration  
Two evaluation indices are investigated to qualitatively and quantitatively assess the fault detection capability of the SVVR method.  ...  Given this, a step-varying vibrational resonance (SVVR) method based on Duffing oscillator nonlinear system is proposed to enhance the weak status feature of bearing by tuning different parameters.  ...  The authors are grateful to the CWRU for providing free-bearing data download.  ... 
doi:10.1155/2017/5716296 fatcat:txtamcyfaveivhvl7273iizllu

A New Detecting Method for Underwater Acoustic Weak Signal Based on Differential Double Coupling Oscillator

Guohui Li, Jiuyang Cui, Hong Yang
2021 IEEE Access  
For weak signal detection with known frequency, based on the double coupling Duffing oscillator method, a differential double coupling Duffing oscillator and Van der Pol-Duffing oscillator detection method  ...  For underwater acoustic weak signal detection with unknown frequency, based on the above proposed method, a differential double coupling Duffing oscillator and Van der Pol-Duffing oscillator variable step-size  ...  When the coupling Duffing oscillator and the Van der Pol-Duffing oscillator subsystem are used to detect weak periodic signals, the same input signal to be detected is given to the two oscillators, and  ... 
doi:10.1109/access.2021.3052057 fatcat:bmokk6qfnbfcbg22ctrwfawvre

A New Dynamical Method for Bearing Fault Diagnosis Based on Optimal Regulation of Resonant Behaviors in a Fluctuating-Mass-Induced Linear Oscillator

Kehan Chen, Yuting Lu, Lifeng Lin, Huiqi Wang
2021 Sensors  
Stochastic resonance (SR), a typical randomness-assisted signal processing method, has been extensively studied in bearing fault diagnosis to enhance the feature of periodic signal.  ...  In this study, we cast off the basic constraint of nonlinearity, extend it to a new type of generalized SR (GSR) in linear Langevin system, and propose the fluctuating-mass induced linear oscillator (FMLO  ...  Acknowledgments: Special thanks should go to thank CWRU for providing the free bearing data download. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/s21030707 pmid:33494196 fatcat:kp6mqwpi5vgdrl2jcvuq3xyq2q

Periodic‐phase‐diagram similarity method for weak signal detection

Ruilan Tian, Yangkun Zhang, Shaopu Yang, Kai Yuan, Qiang Xue, Quanrong Ren
2021 International Journal of Mechanical System Dynamics  
The weak signals of early fault and strong noise are input into Duffing system to obtain the identified system.  ...  The key technology is to find a set of optimal coefficients for Duffing system, which leads to the periodic motion under the influence of weak signal and strong noise.  ...  In the early weak fault detection methods of rolling bearings, the stochastic resonance [26] [27] [28] and the chaotic oscillator 8 are widely used.  ... 
doi:10.1002/msd2.12009 fatcat:tdlhhtc2vbfbrimrj6nlog5dsm

Research on the Cooperative Detection of Stochastic Resonance and Chaos for Weak SNR Signals in Measurement While Drilling

Yi Yang, Fei Li, Nan Zhang, Aiqing Huo
2021 Sensors  
Finally, two Duffing oscillators with different initial phases of their driving signal are combined in order to estimate the amplitude and phase parameters of the measurement signal by using their CPT  ...  In order to solve this problem, this paper utilized the stochastic resonance (SR) and chaos phase transition (CPT) produced by the second-order Duffing system to identify the frequency and estimate the  ...  Acknowledgments: The authors would like to thank the editors and the anonymous reviewers for their valuable comments and suggestions, which helped to improve the manuscript.  ... 
doi:10.3390/s21093011 pmid:33923010 fatcat:dstxj3xs7fcctlrtr22vsikyxy

A new weak fault diagnosis method based on multi-scale wavelet noise tuning cascaded multi-stable stochastic resonance

Dongying Han, Shujun An, Peiming Shi, Ying Zhang
2018 Journal of Vibroengineering  
For detecting the weak fault diagnosis submerged in heavy noise, a new method called multi-scale cascaded multi-stable stochastic resonance (MCMSR) is studied.  ...  The method can effectively extract weak fault diagnosis from noise background using multi-scale wavelet noise tuning stochastic resonance (SR).  ...  [12] , the SR phenomenon of the bistable Duffing oscillator and its application on incipient fault diagnosis were investigated. He and Wang et al.  ... 
doi:10.21595/jve.2017.18794 fatcat:52pofjat45bv5fwy6xein7wety

Adaptive Multiscale Noise Control Enhanced Stochastic Resonance Method Based on Modified EEMD with Its Application in Bearing Fault Diagnosis

Jimeng Li, Jinfeng Zhang
2016 Shock and Vibration  
Therefore, an adaptive multiscale noise control enhanced stochastic resonance (SR) method based on modified ensemble empirical mode decomposition (EEMD) for mechanical fault diagnosis is proposed in the  ...  According to the oscillation characteristics of signal itself, the algorithm of modified EEMD can adaptively decompose the fault signals into different scales and it reduces the decomposition levels to  ...  By analyzing the SR phenomenon of a two-dimensional duffing oscillator, Lai and Leng [20] proposed a generalized parameter-adjusted SR model, which can be used for the fault diagnosis of rolling bearing  ... 
doi:10.1155/2016/1485412 fatcat:5n7p37z2wrad3pdrsl5yfhuu7q

Signal Detection Based on Second-Order Underdamped Tristable Stochastic Resonance and Its Application to Weak Fault Diagnosis

Wenyue Zhang, Peiming Shi, Mengdi Li, Yongxu Jiao, Dongying Han
2019 IEEE Access  
The advantages of stochastic resonance (SR) have received extensive attention and research in the field of weak signal extraction. It can be used to extract fault signals from rotating machinery.  ...  To deeply improve the output signal-to-noise ratio (SNR), a second-order underdamped tristable stochastic resonance (SUTSR) is proposed in the present study.  ...  By adopting the adaptive stochastic resonance, Yang et al. improved the bearing fault diagnosis efficiency and at the same time they used a new stochastic resonance method to recover an unknown signal  ... 
doi:10.1109/access.2019.2955605 fatcat:tiw7tl2o2vhgtetmppo4pgylf4

Faulty Line Selection Method for Distribution Network Based on Variable Scale Bistable System

Xiaowei Wang, Jie Gao, Guobing Song, Qiming Cheng, Xiangxiang Wei, Yanfang Wei
2016 Journal of Sensors  
Since weak fault signals often lead to the misjudgment and other problems for faulty line selection in small current to ground system, this paper proposes a novel faulty line selection method based on  ...  A large number of simulation experiments prove that the proposed method can accurately select the faulty line and extract weak fault signals in the environment with strong noise.  ...  Stochastic resonance is a new practical technology which uses stochastic resonance principle to detect weak signal, and its research and application have spread into physical fields [18, 19] , signal  ... 
doi:10.1155/2016/7436841 fatcat:g244dxpu4nfdzosuichwjcdrki

Stochastic Resonance in an Underdamped System with Pinning Potential for Weak Signal Detection

Haibin Zhang, Qingbo He, Fanrang Kong
2015 Sensors  
Stochastic resonance (SR) has been proved to be an effective approach for weak sensor signal detection.  ...  This study presents a new weak signal detection method based on a SR in an underdamped system, which consists of a pinning potential model.  ...  The authors also would like to thank the anonymous reviewers for their valuable comments and suggestions. They help us to improve the work comparatively and fundamentally.  ... 
doi:10.3390/s150921169 pmid:26343662 pmcid:PMC4610442 fatcat:gkt4573uyzcajkou7psfyefndq

Adaptive Modulation Stochastic Resonance of Two-Dimensional Asymmetric Bistable System and its Application in Bearing Fault Diagnosis

Gang Zhang, Yichen Shu, Tianqi Zhang
2021 IEEE Access  
A two-dimensional asymmetric bistable stochastic resonance (TABSR) system model is proposed, and the parameter optimization is performed adaptively by genetic algorithm (GA).  ...  The output signal-to-noise ratio (SNR) formula of the two-dimensional model is derived and compared with the asymmetric piecewise-linear stochastic resonance (APSR) model.  ...  ACKNOWLEDGMENT The authors would like to thank the anonymous reviewers for their valuable comments and suggestions. They help them to improve the work comparatively and fundamentally. And  ... 
doi:10.1109/access.2021.3100112 fatcat:3qu6kzraqvbijoc7djskopxlyu
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