Research on standard three-well stochastic resonance system and its application in early bearing fault diagnosis

He, Lifang; Tan, Chunlin; Zhang, Gang

doi:10.1140/epjp/s13360-021-01741-0

Cited by 10 publications

(4 citation statements)

References 21 publications

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“…Through the size of the observed value, it reflects the difficulty of particles jumping between potential wells [33]. Combined with the motion principle of Brownian particles in the tristable system and according to the adiabatic approximation theory [34,35], the probability of particle transition between potential wells is:…”

Section: The Spd and Mfpt Of Npuatsr Systemmentioning

confidence: 99%

Research and application of a novel piecewise unsaturated asymmetric tristable stochastic resonance system

Zhang

Zhu

zhang

2022

Meas. Sci. Technol.

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Early fault diagnosis of rolling bearings is of great significance in the application of mechanical equipment, which makes the extraction of weak fault signals particularly critical by stochastic resonance (SR). Compared with bistable SR, tristable SR has stronger advantages in weak signal extraction, but the classical tristable system (CTSR) was limited by output saturation, which resulted in insufficient signal amplification ability. To solve the above problems, combined with asymmetric system whose output can be improved to a higher degree, a novel piecewise unsaturated asymmetric tristable stochastic resonance (NPUATSR) system is proposed. Through numerical simulation, it is concluded that NPUATSR output amplitude varies proportionally with the amplitude of the input, which overcomes the output saturation of CTSR. Secondly, the stationary probability density and mean first passage time of particles are derived by using adiabatic approximation theory, and the variation law caused by parameters is analyzed in combination with potential function, the internal mechanism of the system is further studied. Through the output signal-to-noise ratio (SNR), it is found that the performance advantage of NPUTASR system is the most obvious, and different parameters affect the output SNR. Finally, the adaptive genetic algorithm is used to optimize the parameters, and the proposed system is applied to early fault diagnosis on different types of bearings. After comparison with different systems, the results show that NPUATSR can effectively detect the fault frequency, and has the most outstanding advantages in spectrum amplification and anti-noise performance, which proves that NPUATSR system has significant value in practical engineering application.

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Section: The Spd and Mfpt Of Npuatsr Systemmentioning

confidence: 99%

Research and application of a novel piecewise unsaturated asymmetric tristable stochastic resonance system

Zhang

Zhu

zhang

2022

Meas. Sci. Technol.

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“…In circuit design, scholars have incorporated the concept of SR into circuits that use noise and the nonlinearity of device to achieve logic gate [2][3][4]. In addition, SR is also widely applied in machinery fault diagnosis due to its property of using noise to enhance weak signals [5][6][7][8]. Initially, it was generally accepted that three elements were involved in the occurrence of SR: a nonlinear system, noise, and an input signal.…”

Section: Introductionmentioning

confidence: 99%

A coupled fractional-order system with fluctuating frequency and its application in bearing fault diagnosis

He¹,

Liu²,

Jiang³

2023

Phys. Scr.

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In this paper, a coupled fractional-order system with fluctuating frequency driven by different periodic signals under various damping strength is investigated. Firstly, based on the Shapiro-Loginov formula and Laplace transform method, the expressions for the output amplitude gain (OAG) of the two subsystems are derived and the resonant behaviors of particles are analyzed. The OAG exhibits various resonance behaviors in response to variations in system parameters, input signals and dichotomous noise, including parameter-induced stochastic resonance, bona-fide resonance and stochastic resonance. Especially, the average behavior of the two output signals is synchronized when two subsystems’ input signals and damping strengths are equal, which is verified in the numerical simulation. Finally, the proposed system is applied to the bearing fault diagnosis to evaluate its engineering application value. The results prove that the system is effective in diagnosing fault signals and has excellent performance.

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“…Currently, some of the famous potential function models have emerged from researchers worldwide, including: classical bistable SR, [22][23][24][25] exponential bistable SR, [26] coupled bistable SR, [27][28][29] and other tri-stable and multi-stable potential function models. Tan Chunlin et al [30] presented the application of standard tri-stable SR system in early bearing fault diagnosis. Yang Yulei et al [31] proposed the research on a self-adaptive, cascaded tri-stable SR system under Levy noise.…”

Section: Introductionmentioning

confidence: 99%

Research and application of stochastic resonance in quad-stable potential system

He¹,

Liu²,

Zhang³

2022

Chinese Phys. B

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To solve the problem of low weak signal enhancement performance in the quad-stable system, a new Quad-stable potential Stochastic Resonance (QSR) is proposed. Firstly, under the condition of adiabatic approximation theory, the Stationary Probability Distribution (SPD), the Mean First Passage Time (MFPT), the Work (W) and the power Spectrum Amplification Factor (SAF) are derived, and the impacts of system parameters on them are also deeply analyzed. Secondly, numerical simulations are performed to compare QSR with the Classical Tri-stable Stochastic Resonance (CTSR) by using the Genetic Algorithm (GA) and the fourth-order Runge-Kutta algorithm. It shows that the Signal-to-Noise Ratio (SNR) and Mean Signal-to-Noise Increase (MSNRI) of QSR are higher than CTSR, which indicates that QSR has superior noise immunity than CTSR. Finally, the two systems are applied in the detection on real bearing faults. The experimental results show that QSR is superior to CTSR, which provides a better theoretical significance and reference value for practical engineering application.

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Research on standard three-well stochastic resonance system and its application in early bearing fault diagnosis

Cited by 10 publications

References 21 publications

Research and application of a novel piecewise unsaturated asymmetric tristable stochastic resonance system

Research and application of a novel piecewise unsaturated asymmetric tristable stochastic resonance system

A coupled fractional-order system with fluctuating frequency and its application in bearing fault diagnosis

Research and application of stochastic resonance in quad-stable potential system

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