Stochastic resonance in an underdamped periodic potential system with symmetric trichotomous noise

Qi, Qianqian; Zhou, Bingchang

doi:10.1007/s12648-019-01421-x

Cited by 8 publications

(2 citation statements)

References 42 publications

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“…However, it should be noted that most of the noise in a physical system is not gaussian white noise. Trichotomous noise is a function of the time variable t that is converted between the three values of a, b, c. Considerable research efforts have been devoted to SR phenomenon driven by trichotomous noise [41][42][43][44]. However, SR systems with asymmetric potential function driven by trichotomous noise have not been realized yet.…”

Section: Introductionmentioning

confidence: 99%

Performance Investigation of Stochastic Resonance in Three Types of Asymmetric Bistable System Driven by Trichotomous Noise

Zhao

Liu

et al. 2020

Complexity

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This paper proposes a new system whose potential function is with three types of asymmetric potential wells, driven by trichotomous noise. Firstly, the three types of asymmetric bistable system are described in detail, and the changes of asymmetric bistable system potential function under different asymmetric factors are analyzed. Secondly, the effect of potential function parameters, asymmetric factor α , noise intensity D, and the probability of particle transition q is discussed, using numerical simulation. The detection effects of traditional symmetric SR and three types of asymmetric SR are observed and compared under the driving of trichotomous noise and periodic signals. The mean of signal-to-noise ratio gain is the indicator of the system's effectiveness on enhancing weak signal. The results indicate that it can make the detection effect of the asymmetric system better than that of the traditional bistable system by adjusting the parameters of the asymmetric stochastic resonance system and trichotomous noise.

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Section: Introductionmentioning

confidence: 99%

Performance Investigation of Stochastic Resonance in Three Types of Asymmetric Bistable System Driven by Trichotomous Noise

Zhao

Liu

et al. 2020

Complexity

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“…To enhance the extraction performance of weak signals, a SR system based on the asymmetric periodic potential model is investigated. The potential function is given below [31]:…”

Section: Underdamped Asymmetric Periodic Potential Stochastic Resonance 21 Theoretical Modelmentioning

confidence: 99%

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

Zhang

Peng³

et al. 2021

Symmetry

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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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Piecewise Unsaturated Under-Damped Tri-stable Stochastic Resonance System and Its Application in Bearing Fault Diagnosis

Zhang

Tan

2021

J. Vib. Eng. Technol.

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Stochastic resonance in an underdamped periodic potential system with symmetric trichotomous noise

Cited by 8 publications

References 42 publications

Performance Investigation of Stochastic Resonance in Three Types of Asymmetric Bistable System Driven by Trichotomous Noise

Performance Investigation of Stochastic Resonance in Three Types of Asymmetric Bistable System Driven by Trichotomous Noise

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

Piecewise Unsaturated Under-Damped Tri-stable Stochastic Resonance System and Its Application in Bearing Fault Diagnosis

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