Double Gaussian potential stochastic resonance method and its application in centrifugal fan blade crack detection

Ma, Tianchi; Xu, Feiyu; Hu, Jianzhong; Song, Di; Cao, Susheng

doi:10.1016/j.cjph.2021.10.005

Cited by 17 publications

(9 citation statements)

References 31 publications

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“…In this section, the fourth-order Runge-Kutta method is applied to simulate the particle trajectory. The algorithm specific step is shown in (18), where s(i) and x(i) are the ith sampled value of the input signal and output signal, respectively. n(i) is the ith sample value of noise.…”

Section: Simulation and Application A Fourth-order Runge-kutta Methodsmentioning

confidence: 99%

“…He et al [17] studied a underdamped SR system exponential potential by using a harmonic model and the GP function. Recently, in order to solve the output saturation problem of CBSR system, reference [18] built a double Gaussian potential stochastic resonance (DGSR) system and illustrated the effectiveness of DGSR system in centrifugal fan blade crack detection.…”

Section: Introductionmentioning

confidence: 99%

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Stochastic Resonance of Asymmetric Joint Potential System and Its Application in Weak Signal Detection

2022

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In order to improve the weak signal processing capability of stochastic resonance (SR), a new asymmetric SR system with nonlinear jointed potential function is proposed in this paper. Firstly, the new joint potential stochastic resonance (JPSR) system is built by combined gaussian potential function and asymmetric bistable potential function. Secondly, the analytical expression of signal-to-noise ratio (SNR) is derived based on two-state theory and adiabatic approximation theory. Meanwhile, the influence of system parameters on SNR is discussed theoretically. Thirdly, by particle swarm optimization algorithm, the JPSR system is applied to detect actual bearing fault signals. Finally, according to numerial simulation, the results show that the proposed system can detect weak signal characteristics more effectively.

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Section: Simulation and Application A Fourth-order Runge-kutta Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stochastic Resonance of Asymmetric Joint Potential System and Its Application in Weak Signal Detection

2022

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“…Rolling bearing is the most important component of machines in both industrial machinery and household equipment. The fault diagnosis of rolling bearing is necessary for the operation of machinery and to prevent property loss and dangerous situations [1][2][3][4]. Many scholars have studied various fault identification and classification methods [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

A Software Digital Lock-In Amplifier Method with Automatic Frequency Estimation for Low SNR Multi-Frequency Signal

et al. 2022

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In the fault diagnosis field, the fault feature signal is weak and contaminated by the noise. The lock-in amplifier is a useful tool for weak signal detection. Aiming to the amplitude error of the lock-in amplifier caused by frequency deviation between the measured signal and the reference signal, a DFT-based automatic signal frequency estimation method is studied to improve the frequency accuracy of the reference signal. Based on this frequency estimation method, a software digital lock-in amplifier method is proposed to detect the multiple frequencies signals. This proposed method can automatically measure the frequency value of the measured signal without prior frequency information. Then, the reference signals are generated through this frequency value to make the digital lock-in amplifier estimate the amplitude of the measured signal. Moreover, an iterative structure is used to implement the multiple frequencies signal measurement. The frequencies and amplitudes measurement accuracies are tested. Under different SNR conditions, the frequency relative error is less than 0.1%. In addition, the amplitude relative error with different signal frequencies is less than 1.7% when the SNR is −1 dB. This proposed software digital lock-in amplifier method has a higher signal frequency tracking ability and amplitude measurement accuracy.

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“…[5][6][7][8] According to the used technique, diagnostic methods can be divided into: destructive technique when maximum load or fatigue test of samples are performed 9,10 ; and non-destructive technique when the state of the structure is evaluated without causing damage to it. 11,12 Due to this advantage, the nondestructive technique has become the most common technique for technical diagnostics nowadays.…”

Section: Introductionmentioning

confidence: 99%

“…[10][11] Therefore, constructing unsaturated SR systems with better performance has become the focus of researches. Ma et al 12 constructed the double Gaussian potential SR system by combing two single-well models, and applied it to blade crack detection. Considering the advantages of multi-stable models compared to monostable models and bi-stable models, Zhao et al 13 proposed an unsaturated piecewise tri-stable SR.…”

Section: Introductionmentioning

confidence: 99%

Blade crack detection using variational model decomposition and time-delayed feedback nonlinear tri-stable stochastic resonance

Song

Shen

et al. 2022

Structural Health Monitoring

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For centrifugal fans, the emergence of amplitude modulation (AM) components is a pivotal feature for blade crack fault. However, AM features extraction are challenging under strong interferences. A novel method is proposed to solve this problem using variational mode decomposition (VMD) and time-delayed feedback nonlinear tri-stable stochastic resonance (TFNTSR). Firstly, an improved degree of cyclostationarity (IDCS) index is constructed for parameters optimization. Then, intrinsic mode functions (IMFs) are obtained using the VMD method, and one of them which has the maximum IDCS value is selected. Finally, the selected IMF is further processed by the TFNTSR method, thereby completing the blade crack detection. Verified by simulations and experiments, VMD-TFNTSR method has a better performance on blade crack detection.

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Double Gaussian potential stochastic resonance method and its application in centrifugal fan blade crack detection

Cited by 17 publications

References 31 publications

Stochastic Resonance of Asymmetric Joint Potential System and Its Application in Weak Signal Detection

Stochastic Resonance of Asymmetric Joint Potential System and Its Application in Weak Signal Detection

A Software Digital Lock-In Amplifier Method with Automatic Frequency Estimation for Low SNR Multi-Frequency Signal

Blade crack detection using variational model decomposition and time-delayed feedback nonlinear tri-stable stochastic resonance

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