Abstract

Stochastic resonance (SR) has been proved to be an effective method to extract weak-fault signals from gearboxes under strong noise. In this paper, we propose a method based on underdamped second-order SR with a new potential function. In our testing, we added an appropriate amount of Gaussian white noise to the original signal. When it matched the periodic signal and the potential function, the method showed good noise reduction ability, highlighted the fault signal and extracted fault information more effectively than the traditional SR method. The ant colony algorithm was used to optimize the potential parameters of the SR potential model and obtain the best output signal-to-noise ratio (SNR). We verified the proposed method by computer simulation and experimental verification, demonstrating that it produced better output than that of the traditional SR method.

Highlights

  • Gears are widely used in mechanical equipment and play a very important role in the normal operation of the machines

  • We proposed a new potential function Stochastic resonance (SR) method for early gear fault detection

  • The output signal-to-noise ratio (SNR) can be changed by changing the parameter value, and the parameters are optimized by an ant colony algorithm to obtain the optimal parameters

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Summary

Introduction

Gears are widely used in mechanical equipment and play a very important role in the normal operation of the machines. Zhang et al [25] applied a single potential well to SR, which improved the output SNR These potential functions were used to replace the traditional bistable potential and to extract weak fault signals from bearings. The optimal output is obtained by combining SR with an ant colony algorithm [26], and the proposed second-order underdamped SR had more advantages than the traditional SR. Because of its good denoising performance, the proposed SR method could be applied to gear-fault diagnosis, and the output effect and diagnostic efficiency would be better than those of the traditional SR method. The new potential function was combined with the second-order underdamped SR and to early gearbox fault diagnosis.

Underdamped SR method
Underdamped second-order SR model
Second-order SR model based on a new potential function
Underdamped SR weak-fault diagnosis strategy
Simulation
Experimental verification
Engineering verification
Conclusions
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