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New Criteria for Adaptive Blind Deconvolution of Vibration Signals from Planetary Gearbox

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Advances in Condition Monitoring of Machinery in Non-Stationary Operations (CMMNO 2014)

Abstract

In the paper performance of the adaptive blind deconvolution algorithm in application to a vibration signal with time-varying informative frequency band (IFB) is analyzed. The time-varying nature of the IFB might be caused by e.g. time-varying load or speed, time-varying signal-to-noise ratio (SNR), presence of other damages with distributed nature or time-varying transmission path, especially for source signals that propagate through a rolling element bearing or a planetary gearbox. Linear time-invariant filters cannot follow such phenomena, i.e. they might indicate too wide or too narrow frequency band as informative. Thus, the filtered signal contains too much noise or does not contain the whole information about the damage, respectively. Adaptive blind deconvolution is a time-varying filter which in each step tends to a filter that minimizes or maximizes given criterion of the deconvolved signal. In the classical version it maximizes kurtosis of the deconvolved signal, since high kurtosis (impulsiveness) is expected in the case of local damage. There exist also alternative measures that might provide equivalent results, or sometimes better in specific cases. Such combination of impulsiveness detection and ability of adaptation due to non-stationary operational conditions seems to be very promising. The methodology is illustrated by analysis of real data representing vibration acceleration of a heavy-duty rotating machinery (planetary gearbox used in bucket wheel excavator) operating in industrial conditions of an open-pit mine. The analyzed signal reveals strong dependency between time-varying load applied to the gearbox and properties of cyclic impulses related to damage.

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References

  1. Randall RB, Antoni J (2011) Rolling element bearing diagnostics-A tutorial. Mech Syst Sig Proc 25:485–520

    Article  Google Scholar 

  2. Samuel PD, Pines DJ (2005) A review of vibration-based techniques for helicopter transmission diagnostics. J Sound Vib 282:475–508

    Article  Google Scholar 

  3. Martin N (1986) An AR spectral analysis of non-stationary signals. Signal Process 10:49–59

    Article  Google Scholar 

  4. Poulimenos AG, Fassois SD (2006) Parametric time-domain methods for non-stationary random vibration modelling and analysis—a critical survey and comparison. Mech Syst Sig Process 20:763–816

    Article  Google Scholar 

  5. Makowski RA, Zimroz R (2011) Adaptive bearings vibration modelling for diagnosis. Lecture notes in computer science (including subseries Lecture notes in artificial intelligence and lecture notes in bioinformatics), 6943 LNAI, pp 248−259

    Google Scholar 

  6. Makowski R, Zimroz R (2013) A procedure for weighted summation of the derivatives of reflection coefficients in adaptive Schur filter with application to fault detection in rolling element bearings. Mech Syst Sig Process 38:65–77

    Article  Google Scholar 

  7. Makowski R, Zimroz R (2014) New techniques of local damage detection in machinery based on stochastic modelling using adaptive Schur filter. Appl Acoust 77:130–137

    Article  Google Scholar 

  8. Gillespie BW, Malvar HS, Florencio DAF (2001) Speech dereverberation via maximum-kurtosis subband adaptive filtering. In: Proceedings 2001 IEEE International Conference on Acoustics, Speech, Signal Process. 6:3701−3704

    Google Scholar 

  9. Mosayyebpour S, Sayyadiyan A, Zareian M, Shahbazi A (2010) Single channel inverse filtering of room impulse response by maximizing skewness of LP residual. In: Proceedings of IEEE international conference on Signal Acquisition and Processing, pp 130–134

    Google Scholar 

  10. Mosayyebpour S, Sheikhzadeh H, Gulliver TA, Esmaeili M (2012) Single-microphone LP residual skewness-based inverse filtering of the room impulse response. IEEE Trans Audio Speech Lang Process 20(art. no. 6145617):1617–1632

    Google Scholar 

  11. Wu M, Wang DL (2006) A two-stage algorithm for one-microphone reverberant speech enhancement. IEEE Trans Audio Speech Lang Process 14:774–784

    Google Scholar 

  12. Yegnanarayana B, Murthy PS (2000) Enhancement of reverberant speech using LP residual signal. IEEE Trans Speech Audio Process 8:267–281

    Article  Google Scholar 

  13. Paajarvi P, LeBlanc JP (2005) Online adaptive blind deconvolution based on third-order moments. IEEE Sig Process Lett 12:863–866

    Article  Google Scholar 

  14. Wiggins RA (1978) Minimum entropy deconvolution. Geoexploration 16:21–35

    Article  Google Scholar 

  15. Donoho DL (1981) On minimum entropy deconvolution. In: Findley DF (ed) Applied time series analysis. Academic, New York

    Google Scholar 

  16. Gray WC (1979) Variable norm deconvolution. Ph.D, thesis, Stanford University

    Google Scholar 

  17. Broadhead MK, Pflug LA (2000) Performance of some sparseness criterion blind deconvolution methods in the presence of noise. J Acoust Soc Am 107:885–893

    Article  Google Scholar 

  18. Endo H, Randall RB, Gosselin C (2009) Differential diagnosis of spall vs. cracks in the gear tooth fillet region: experimental validation. Mech Syst Sig Proc 23:636–651

    Google Scholar 

  19. Barszcz T, Sawalhi N (2013) Fault detection enhancement in rolling element bearings using the minimum entropy deconvolution. Arch Acoust 37:131–141

    Google Scholar 

  20. Sawalhi N, Randall RB, Endo H (2007) The enhancement of fault detection and diagnosis in rolling element bearings using minimum entropy deconvolution combined with spectral kurtosis. Mech Syst Sig Process 21:2616–2633

    Article  Google Scholar 

  21. Endo H, Randall RB (2007) Enhancement of autoregressive model based gear tooth fault detection technique by the use of minimum entropy deconvolution filter. Mech Syst Sig Proc 21:906–919

    Article  Google Scholar 

  22. Ricci R, Borghesani P, Chatterton S, Pennacchi P (2012) The combination of empirical mode decomposition and minimum entropy deconvolution for roller bearing diagnostics in non-stationary operation. In: Proceedings of the ASME design engineering technical conference, Chicago, pp 723–730

    Google Scholar 

  23. Lee J-Y, Nandi AK (1998) Blind deconvolution of impacting signals using higher-order statistics. Mech Syst Sig Process 12:357–371

    Article  Google Scholar 

  24. McDonald GL, Zhao Q, Zuo MJ (2012) Maximum correlated kurtosis deconvolution and application on gear tooth chip fault detection. Mech Syst Sig Process 33:237–255

    Article  Google Scholar 

  25. Cichocki A, Amari S, Thawonmas R (1996) Blind signal extraction using self-adaptive non-linear Hebbian learning rule. In: Proceedings of international symposium on nonlinear theory and its applications, NOLTA-96, Kochi, Japan, pp 377–380

    Google Scholar 

  26. Cichocki A, Thawonmas R, Amari S (1997) Sequential blind signal extraction in order specified by stochastic properties. Electron Lett 33:64–65

    Article  Google Scholar 

  27. Sawalhi N, Randall RB (2011) Vibration response of spalled rolling element bearings: observations, simulations and signal processing techniques to track the spall size. Mech Syst Sig Process 25:846–870

    Article  Google Scholar 

  28. Sawalhi N, Randall RB (2005) Spectral kurtosis enhancement using autoregressive models. In: Australasian congress on applied mechanics, ACAM, pp 231–236

    Google Scholar 

  29. Cichocki A, Amari SI (2002) Adaptive blind signal and image processing: learning algorithms and applications. Wiley, New York

    Book  Google Scholar 

  30. Tanrikulu O, Constantinides AG (1994) Least-mean kurtosis: a novel higher-order statistics based adaptive filtering algorithm. Electron Lett 30:189–190

    Article  Google Scholar 

  31. Haykin S (2002) Adaptive filter theory, 4th edn. Prentice Hall, New York

    Google Scholar 

  32. Shin H-C, Sayed AH, Song W-J (2004) Variable step-size NLMS and affine projection algorithms. IEEE Signal Process Lett 11:132–135

    Article  Google Scholar 

  33. Antoni J, Randall RB (2006) The spectral kurtosis: application to the vibratory surveillance and diagnostics of rotating machines. Mech Syst Sig Process 20:308–331

    Article  Google Scholar 

  34. Antoni J (2006) The spectral kurtosis: a useful tool for characterising non-stationary signals. Mech Syst Sig Process 20:282–307

    Article  Google Scholar 

  35. Lin J, Zuo MJ (2003) Gearbox fault diagnosis using adaptive wavelet filter. Mech Syst Sig Process 17:1259–1269

    Article  Google Scholar 

  36. Lambert RH (1996) Multichannel blind deconvolution: fir matrix algebra and separation of multipath mixtures. University of Southern California, Los Angeles

    Google Scholar 

  37. Cabrelli CA (1985) Minimum entropy deconvolution and simplicity: a noniterative algorithm. Geophysics 50:394–413

    Article  Google Scholar 

  38. Barszcz T, Jablonski A (2011) A novel method for the optimal band selection for vibration signal demodulation and comparison with the Kurtogram. Mech Syst Sig Process 25:431–451

    Google Scholar 

  39. Tse PW, Wang D (2011) The sparsogram: a new and effective method for extracting bearing fault features. In: Prognostics and system health management conference (PHM-Shenzhen), art. no. 5939587, p 6

    Google Scholar 

  40. Obuchowski J, Wylomanska A, Zimroz R (2014) Selection of informative frequency band in local damage detection in rotating machinery. Mech Syst Signal Process 48:138–152

    Article  Google Scholar 

  41. Obuchowski J, Wylomanska A, Zimroz R (2013) Stochastic modeling of time series with application to local damage detection in rotating machinery. Key Eng Mat 569–570:441–448

    Article  Google Scholar 

  42. Bera AK, Jarque CM (1981) Efficient tests for normality, homoscedasticity and serial independence of regression residuals. Monte Carlo Evid Econ Lett 7:313–318

    Article  Google Scholar 

  43. Jarque CM, Bera AK (1980) Efficient tests for normality, homoscedasticity and serial independence of regression residuals. Econ Lett 6(3):255–259

    Article  MathSciNet  Google Scholar 

  44. Dybala J, Zimroz R (2014) Empirical mode decomposition of vibration signal for detection of local disturbances in planetary gearbox used in heavy machinery system. Key Eng Mat 588:109–116

    Article  Google Scholar 

  45. Zimroz R, Bartkowiak A (2011) Investigation on spectral structure of gearbox vibration signals by principal component analysis for condition monitoring purposes. J Phys Conf Ser 305(art. no. 012075)

    Google Scholar 

  46. Zimroz R, Bartkowiak A (2013) Two simple multivariate procedures for monitoring planetary gearboxes in non-stationary operating conditions. Mech Syst Sig Process 38:237–247

    Article  Google Scholar 

  47. Zimroz R, Millioz F, Martin N (2010) A procedure of vibration analysis from planetary gearbox under non-stationary cyclic operations for instantaneous frequency estimation in time-frequency domain. In: 7th international conference on condition monitoring and machinery failure prevention technologies 2010, CM 2010/MFPT 2010, 2, pp 1133–1145

    Google Scholar 

  48. Bartelmus W, Zimroz R (2009) Vibration condition monitoring of planetary gearbox under varying external load. Mech Syst Sig Process 23:246–257

    Google Scholar 

Download references

Acknowledgements

This work is partially supported by the statutory grant No. B40044 (J. Obuchowski). This research was supported in part by PL-Grid Infrastructure.

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Correspondence to Jakub Obuchowski .

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Obuchowski, J., Wylomanska, A., Zimroz, R. (2016). New Criteria for Adaptive Blind Deconvolution of Vibration Signals from Planetary Gearbox. In: Chaari, F., Zimroz, R., Bartelmus, W., Haddar, M. (eds) Advances in Condition Monitoring of Machinery in Non-Stationary Operations. CMMNO 2014. Applied Condition Monitoring, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-20463-5_9

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  • DOI: https://doi.org/10.1007/978-3-319-20463-5_9

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