Fault Diagnosis Using Wavelet Transform Method for Random Signals

불규칙 신호의 웨이블렛 기법을 이용한 결함 진단

  • 김우택 (한양대학교 대학원 자동차공학과) ;
  • 심현진 (한양대학교 대학원 자동차공학과) ;
  • 아미누딘빈아부 (한양대학교 대학원 자동차공학과) ;
  • 이해진 (한양대학교 대학원 자동차공학과) ;
  • 이정윤 (경기대학교 기계시스템디자인공학부) ;
  • 오재응 (한양대학교 기계공학부)
  • Published : 2005.10.01

Abstract

In this paper, time-frequency analysis using wavelet packet transform and advanced-MDSA (Multiple Dimensional Spectral Analysis) which based on wavelet packet transform is applied fur fault source identification and diagnosis of early detection of fault non-stationary sound/vibration signals. This method is analyzing the signal in the plane of instantaneous time and instantaneous frequency. The results of ordinary coherence function, which obtained by wavelet packet analysis, showed the possibility of early fault detection by analysis at the instantaneous time. So, by checking the coherence function trend, it is possible to detect which signal contains the major fault signal and to know how much the system is damaged. Finally, It is impossible to monitor the system is damaged or undamaged by using conventional method, because crest factor is almost constant under the range of magnitude of fault signal as its approach to normal signal. However instantaneous coherence function showed that a little change of fault signal is possible to monitor the system condition. And it is possible to predict the maintenance time by condition based maintenance for any stationary or non-stationary signals.

Keywords

References

  1. Alfredson, R.J., 'The Partial Coherence Technique for Source Identification on a Diesel Engine,' Journal of Sound and Vibration, Vol. 55, No. 4, pp. 487 -494, 1977 https://doi.org/10.1016/S0022-460X(77)81173-5
  2. Allen, J. and Murray, A., 'Time-Frequency Analysis of Korotkoff Sounds,' Conf. IEEE, London WC2R 0BL, pp 4/1-4/5, 1997
  3. Aretakis, N. and Mathioudakis, K, 'Wavelet Analysis for Gas Turbine Fault Diagnostics,' ASME Jr. of Engineering for Gas Turbines and Power, Vol. 119, pp. 870-876, 1997 https://doi.org/10.1115/1.2817067
  4. Coifman, R.R. and Wickerhauser, M.V., 'Entropy-Based Algorithms for Best Basis Selection,' IEEE Transactions on Information Theory, Vol. 30, pp. 713-718, 1992 https://doi.org/10.1109/18.119732
  5. Crowe, J.A., 'The Wavelet Transform and Its Application to Biomedical Signals,' Conf. IEEE, London WC2R 0BL, pp 2/1-2/3, 1997
  6. Desantes, J.M., Torregrosa, A.J. and Broatch, A., 'Wavelet Transform Applied to Combustion Noise Analysis in High-Speed DI Diesel Engines,' SAE Conference 2001-01-1545, 2001
  7. Donoho, D.L., 'De-Noising by Soft-Thresholding,' IEEE Transaction on Information Theory, Vol. 41, No. 3, pp. 613-627, 1995 https://doi.org/10.1109/18.382009
  8. Gaupillaud, P., Grossmann, A. and Morlet, J., 'Cycle-Octave and Related Trsnaforms in Seismic Signal Analysis,' Geoexploration, Vol. 23, pp. 85-102, 1984 https://doi.org/10.1016/0016-7142(84)90025-5
  9. Kim, Y.Y. and Hong, J.C., 'Frequency Response Function Estimation Via a Robust Wavelet De-Noising Method,' Journal of Sound and Vibration, Vol. 244, No. 4, pp. 635-649, 2001 https://doi.org/10.1006/jsvi.2000.3509
  10. Lin, J. and Qu, L., 'Feature Extraction Bases on Morlet Wavelet and Its Application for Mechanical Fault Diagnosis,' Journal of Sound and Vibration, Vol. 234. No. 1, pp. 135-148,2000 https://doi.org/10.1006/jsvi.2000.2864
  11. Ling, S.F. and Liu, B., 'Health Monitoring of International Combustion Engines by Wavelet Based Vibration Analysis,' ASME No. 97EN039, pp. 373-380,1997
  12. Liu, B. and Ling, S.F., 'On the Selection of Informative Wavelets for Machinery Diagnosis,' Mechanical Systems and Signal Processing, Vol. 13, No. 1, pp. 145-162, 1999 https://doi.org/10.1006/mssp.1998.0177
  13. Mahfouz, I.A., 'Condition Monitoring of a Gear Box Using Vibration and Acoustic Emission Based Artificial Neural Network,' SAE Conference 2001-01-1484,2001
  14. Oh, J.E., 'Applications of Multi-Dimensional Spectral Analysis for Noise Source Identification on Mechanical Structures,' Thesis for doctor's degree, Tokyo Institute of Technology, 1983
  15. Park, J.S. and Kim, K.J., 'Source Identification Using Multi-Input/Single-Output Modeling and Causality Checking of Correlated Inputs,' Journal of Vibration and Acoustics, Vol. 116, pp. 232-236, 1994 https://doi.org/10.1115/1.2930417
  16. Robertson, A.N., Park, K.C. and Alvin, K.F., 'Identification of Structural Dynamic Models Using Wavelet-Generated Impulse Response Data,' ASME Journal of Vibration and Acoustic, Vol. 120, pp. 261-266, 1998 https://doi.org/10.1115/1.2893815
  17. Sardy, S., Tseng, P. and Bruce, A., 'Robust Wavelet Denoising,' IEEE Trans. on signal processing, Vol. 49, No.6, pp. 1146-1152,2001 https://doi.org/10.1109/78.923297