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Mechanical equipment fault diagnosis based on redundant second generation wavelet packet transform

Published: 01 January 2010 Publication History

Abstract

Wavelet transform has been widely used for the vibration signal based mechanical equipment fault diagnosis. However, the decomposition results of the discrete wavelet transform do not possess time invariant property, which may result in the loss of useful information and decrease the classification accuracy of fault diagnosis. To overcome this deficiency, a novel fault diagnosis method based on the redundant second generation wavelet packet transform is proposed. Firstly, the redundant second generation wavelet packet transform is constructed on the basis of second generation wavelet transform and redundant lifting scheme. Secondly, the vibration signals are decomposed by redundant second generation wavelet packet transform and then the faulty features are extracted from the resultant wavelet packet coefficients. Finally, the extracted fault features are given as input to classifiers for identification. The proposed method is applied for the fault diagnosis of gearbox and gasoline engine valve trains. Test results indicate that a better classification performance can be obtained by using the proposed fault diagnosis method in comparison with using second generation wavelet packet transform based method.

References

[1]
Cavacece, M. and Introini, A., Analysis of damage of ball bearings of aeronautical transmissions by auto-power spectrum and cross-power spectrum. ASME J. Vibr. Acoust. v124 i2. 180-185.
[2]
Sun, Q., Chen, P., Zhang, D. and Xi, F., Pattern recognition for automatic machinery fault diagnosis. ASME J. Vibr. Acoust. v126 i2. 307-316.
[3]
Yan, R.Q. and Gao, R.X., Rotary machine health diagnosis based on empirical mode decomposition. ASME J. Vibr. Acoust. v130 i2.
[4]
Hong, H.B. and Liang, M., Separation of fault features from a single-channel mechanical signal mixture using wavelet decomposition. Mech. Syst. Signal Process. v21 i5. 2025-2040.
[5]
Peng, Z.K. and Chu, F.L., Application of the wavelet transform in machine condition monitoring and fault diagnostics: A review with bibliography. Mech. Syst. Signal Process. v18 i2. 199-221.
[6]
Ogden, R.T., Essential Wavelets for Statistical Applications and Data Analysis. 1997. Birkhäuser, Boston.
[7]
Percival, D.B. and Walden, A.T., Wavelet Methods for Time Series Analysis. 2000. Cambridge University Press, Cambridge.
[8]
Tse, P.W., Peng, Y.H. and Yam, R., Wavelet analysis and envelope detection for rolling element bearing fault diagnosis---Their effectiveness and flexibilities. ASME J. Vibr. Acoust. v123 i3. 303-310.
[9]
Li, X., Qu, L., Wen, G. and Li, C., Application of wavelet packet analysis for fault detection in electro-mechanical systems based on torsional vibration measurement. Mech. Syst. Signal Process. v17 i6. 1219-1235.
[10]
Fan, X.F. and Zuo, M.J., Gearbox fault detection using Hilbert and wavelet packet transform. Mech. Syst. Signal Process. v20 i4. 966-982.
[11]
Rafiee, J., Arvani, F., Harifi, A. and Sadeghi, M.H., Intelligent condition monitoring of a gearbox using artificial neural network. Mech. Syst. Signal Process. v21 i4. 1746-1754.
[12]
Xu, Q.S. and Lia, Z.G., Recognition of wear mode using multi-variable synthesis approach based on wavelet packet and improved three-line method. Mech. Syst. Signal Process. v21 i8. 3146-3166.
[13]
He, Z.J., Zi, Y.Y. and Meng, Q.F., Fault Diagnosis Principle of Non-stationary Signal and Applications to Mechanical Equipment. 2001. Higher Education Press, Beijing.
[14]
Sweldens, W., The lifting scheme: A custom-design construction of biorthogonal wavelets. Appl. Comput. Harmon. Anal. v3 i2. 186-200.
[15]
Sweldens, W., The lifting scheme: A construction of second generation wavelets. SIAM J. Math. Anal. v29 i2. 511-546.
[16]
Claypoole, R.L., Davis, G.M., Sweldens, W. and Baraniuk, R., Nonlinear wavelet transforms for image coding via lifting. IEEE Trans. Image Process. v12 i12. 1449-1459.
[17]
Jiang, H.K., He, Z.J., Duan, C.D. and Chen, P., Gearbox fault diagnosis using adaptive redundant lifting scheme. Mech. Syst. Signal Process. v20 i8. 1992-2006.
[18]
Duan, C.D., He, Z.J. and Jiang, H.K., A sliding window feature extraction method for rotating machinery based on the lifting scheme. J. Sound Vibr. v299 i4--5. 774-785.
[19]
Chen, H.X., Patrick, S.K., Chua, G. and Lim, H., Vibration analysis with lifting scheme and generalized cross validation in fault diagnosis of water hydraulic system. J. Sound Vibr. v301 i3--5. 458-480.
[20]
Cao, H.R., Chen, X.F., Zi, Y.Y., D, F., Chen, H.X., Tan, J.Y. and He, Z.J., End milling tool breakage detection using lifting scheme and Mahalanobis distance. Int. J. Mach. Tools Manuf. v48 i2. 141-151.
[21]
Lee, C.S., Lee, C.K. and Yoo, K.Y., New lifting based structure for undecimated wavelet transform. Electron. Lett. v36 i2. 1894-1895.
[22]
R. L. Claypoole, Adaptive wavelet transform via lifting, Ph.D. thesis, Deportment of electrical and computer engineering, Rice University, Houston, Texas, 1999
[23]
Zhen, L., Bearing condition monitoring based on shock pulse method and improved redundant lifting scheme. Math. Comput. Simul. v7 i3. 318-338.
[24]
J. Stepien, T. Zielinski, R. Rumian, Image denoising using scale-adaptive lifting schemes, in: Proceedings of the International Conference on Image, vol. 3, Vancouver, BC, Canada, 2000, pp. 288--290
[25]
Hu, Q., He, Z.J. and Zhang, Z.S., Fault diagnosis of rotating machinery based on improved wavelet package transform and SVMs ensemble. Mech. Syst. Signal Process. v21 i2. 688-705.
[26]
Jiang, H.K. and Wang, Z.S., Second generation wavelet packet construction and aircraft engine weak damage identification. J. Beijing Univ. Aeronaut. Astronaut. v33 i7. 777-780.
[27]
Quinlan, J.R., C4.5: Programs for Machine Learning. 1993. Morgan Kaufmann, San Francisco.
[28]
Mitchell, T.M., Machine Learning. 1997. McGraw--Hill, New York.
[29]
Quinlan, J.R., Improved use of continuous attributes in C4.5. J. Artif. Intell. Res. v4. 77-90.
[30]
Haykin, S., Neural Networks: A Comprehensive Foundation. 1998. second ed. Prentice Hall, New Jersey.
[31]
Balasubramanian, M., Palanivel, S. and Ramalingam, V., Real time face and mouth recognition using radial basis function neural networks. Expert Syst. Appl. v36 i3. 6879-6888.
[32]
Dhanalakshmi, P., Palanivel, S. and Ramalingam, V., Classification of audio signals using SVM and RBFNN. Expert Syst. Appl. v36 i3. 6069-6075.
[33]
Vapnik, V., Statistical Learning Theory. 1998. John Wiley and Sons, New York.
[34]
Samanta, B., Gear fault detection using artificial neural networks and support vector machines with genetic algorithms. Mech. Syst. Signal Process. v18 i3. 625-644.
[35]
Widodo, A. and Yang, B.S., Support vector machine in machine condition monitoring and fault diagnosis. Mech. Syst. Signal Process. v21 i6. 2560-2574.
[36]
Yuan, S.F. and Chu, F.L., Fault diagnosis based on support vector machines with parameter optimisation by artificial immunisation algorithm. Mech. Syst. Signal Process. v21 i3. 1318-1330.

Cited By

View all
  • (2022)Deep Transfer Learning in Mechanical Intelligent Fault Diagnosis: Application and ChallengeNeural Processing Letters10.1007/s11063-021-10719-z54:3(2509-2531)Online publication date: 1-Jun-2022
  • (2018)Remaining Useful Life Prediction of Bearing Based on Deep Perceptron Neural NetworksProceedings of the 2018 2nd International Conference on Big Data and Internet of Things10.1145/3289430.3289438(175-179)Online publication date: 24-Oct-2018
  • (2018)Spur bevel gearbox fault diagnosis using wavelet packet transform and rough set theoryJournal of Intelligent Manufacturing10.1007/s10845-015-1174-x29:6(1257-1271)Online publication date: 1-Aug-2018
  • Show More Cited By

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Information & Contributors

Information

Published In

cover image Digital Signal Processing
Digital Signal Processing  Volume 20, Issue 1
January, 2010
302 pages

Publisher

Academic Press, Inc.

United States

Publication History

Published: 01 January 2010

Author Tags

  1. Fault diagnosis
  2. Feature extraction
  3. Lifting scheme
  4. Second generation wavelet packet transform

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Cited By

View all
  • (2022)Deep Transfer Learning in Mechanical Intelligent Fault Diagnosis: Application and ChallengeNeural Processing Letters10.1007/s11063-021-10719-z54:3(2509-2531)Online publication date: 1-Jun-2022
  • (2018)Remaining Useful Life Prediction of Bearing Based on Deep Perceptron Neural NetworksProceedings of the 2018 2nd International Conference on Big Data and Internet of Things10.1145/3289430.3289438(175-179)Online publication date: 24-Oct-2018
  • (2018)Spur bevel gearbox fault diagnosis using wavelet packet transform and rough set theoryJournal of Intelligent Manufacturing10.1007/s10845-015-1174-x29:6(1257-1271)Online publication date: 1-Aug-2018
  • (2016)A novel intelligent method for mechanical fault diagnosis based on dual-tree complex wavelet packet transform and multiple classifier fusionNeurocomputing10.1016/j.neucom.2015.07.020171:C(837-853)Online publication date: 1-Jan-2016
  • (2014)Wavelets for fault diagnosis of rotary machinesSignal Processing10.1016/j.sigpro.2013.04.01596(1-15)Online publication date: 1-Mar-2014

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