Abstract
This chapter focuses on the application of stochastic resonance (SR) in mechanical fault signal detection. SR is a nonlinear effect that is now widely used in weak signal detection under heavy noise circumstances. In order to extract characteristic fault signal of the dynamic mechanical components, SR normalized scale transform is presented and a circuit module is designed based on parameter-tuning bistable SR. Weak signal detection based on stochastic resonance (SR) can hardly succeed when noise intensity exceeds the optimal value of SR. Therefore, a signal detection model based on combination effect of colored noise SR and parallel bistable SR array, which is called multi-scale bistable stochastic resonance array, has been constructed. Based on the enhancement effect of the constructed model and the normalized scale transformation, weak signal detection method has been proposed. The effectiveness of these methods are confirmed and replicated by numerical simulations. Applications of bearing fault diagnosis show the enhanced detecting effects of the proposed methods.
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References
Benzi R., Sutera A., Vulpiana A., “The mechanism of stochastic resonance”, Journal of Physics A: Mathematical and General, 1981, 14(11):L453–L457
Mcnamara B., Wiesenfeid K., “Theory of stochastic resonance”, Physical Review A, 1989, 39(9):4854–4869
Jung P., Hanggi P., “Amplification of small signal via stochastic resonance”, Physical Review A, 1991, 44(12):8032–8042
Bulsara A.R., Gammaitoni L., “Turning into noise”, Physics Today, 1996, 49(3):39–45
Gammaitoni, L., Hanggi, P., Jung, P., et al, “Stochastic resonance”, Reviews of Modern Physics, 1998, 70(1), 223–287
Xu B.H., Duan F.B., Bao R.H., et al, “Stochastic resonance with tuning system parameters: the application of bistable systems in signal processing”, Chaos, Solitons Fractals, 2002, 13:633–644
Xu B.H., Li J.L., Zheng J.Y., “How to tune the system parameters to realize stochastic resonance”, Journal of Physics A: Mathematical and General, 2003, 36(48):11969–11980
Xu B.H., Zeng L.Z., Li J.L., “Application of stochastic resonance in target detection in shallow-water reverberation”, Journal of Sound and Vibration, 2007, 303:255–263
Hu N.Q., Chen M., Wen X.S., “The application of stochastic resonance theory for early detecting rub-impact fault of rotor system”, Mechanical Systems and Signal Processing, 2003, 17(4):883–895
Yang D.X., Hu N.Q., “Detection of weak aperiodic signal based on stochastic resonance”, In: 3rd International Symposium on Instrument Science and Technology, Xi’an: International Symposium on Instrument Science and Technology, 2004, 0210–0213
Zhang X. F., Hu N.Q., Cheng Z., et al, “Enhanced detection of rolling element bearing fault based on stochastic resonance”, Chinese Journal of Mechanical Engineering, 2012, 25(6):1287–1297
Leng Y.G., Wang T.Y., Guo Y., et al, “Engineering signal processing based on bistable stochastic resonance”, Mechanical Systems and Signal Processing, 2007, 21:138–150
Tan J.Y., Chen X.F., Wang J.Y., et al, “Study of frequency-shifted and re-scaling stochastic resonance and its application to fault diagnosis”, Mechanical Systems and Signal Processing, 2009, 23:811–822
Li Q., Wang T.Y., Leng Y.G., et al, “Engineering signal processing based on adaptive step-changed stochastic resonance”, Mechanical Systems and Signal Processing, 2007, 21:2267–2279
Li B., Li J.M., He Z.J., “Fault feature enhancement of gearbox in combined machining center by using adaptive cascade stochastic resonance”, Sci China Tech Sci, 2011, 54:3203–3210
Duan F. B., Chapeau-Blondeau F., Abbott D., “Stochastic resonance in a parallel array of nonlinear dynamical elements”, Phys Lett A, 2008, 372:2159–2166
McDonnell M.D., Abbott D., Pearce C.E.M., “An analysis of noise enhanced information transmission in an array of comparators”, Microelectron J, 2002, 33: 1079–1089
Stocks N.G., “Information transmission in parallel threshold arrays: suprathreshold stochastic resonance”, Phys Rev E, 2001, 63:041114
Rousseau D., Chapeau-Blondeau F., “Suprathreshold stochastic resonance and signal-to- noise ratio improvement in arrays of comparators”, Phys Lett A, 2004, 321:280–290
He Q.B., Wang J., “Effects of multiscale noise tuning on stochastic resonance for weak signal detection”, Digit Signal Process, 2012, 22:614–621
He Q.B., Wang J., Liu Y.B., et al, “Multiscale noise tuning of stochastic resonance for enhanced fault diagnosis in rotating machines”, Mechanical Systems and Signal Processing, 2012, 28:443–457
Zhang X.F., Hu N.Q., Hu L., et al, “Stochastic resonance in multi-scale bistable array”, Phys Lett A, 2013, 377:981–984
Marek F., Emil S., “Stochastic resonance: a chaotic dynamics approach”, Physical Review E, 1996, 54(2):1298–1304
Zhang X.F., Hu N.Q., Hu L., Zhe C., “Multi-scale bistable stochastic resonance array: A novel weak signal detection method and application in machine fault diagnosis”, SCIENCE CHINA Technological Sciences, 2013, 56(9):2115–2123
Acknowledgements
The authors would like to acknowledge the support of National Natural Science Foundation of China (Grant Nos. 51475463 and 51605483) and Research Project of National University of Defense Technology (Grant No. ZK-03-14).
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Zhang, X.F., Hu, N.Q., Zhang, L., Wu, X.F., Hu, L., Cheng, Z. (2017). On the Use of Stochastic Resonance in Mechanical Fault Signal Detection. In: Yan, R., Chen, X., Mukhopadhyay, S. (eds) Structural Health Monitoring. Smart Sensors, Measurement and Instrumentation, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-56126-4_13
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DOI: https://doi.org/10.1007/978-3-319-56126-4_13
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