Skip to main content
Log in

Fault level diagnosis for planetary gearboxes using hybrid kernel feature selection and kernel Fisher discriminant analysis

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

This paper introduces a hybrid dimension reduction method that combines kernel feature selection and kernel Fisher discriminant analysis (KFDA). In the first stage, a kernel feature selection method is proposed to remove redundant and irrelevant features for two purposes: (1) reducing computation burden of the entire fault diagnosis system and (2) alleviating the impact of irrelevant features on KFDA. In the second stage, KFDA is used to establish a more compact feature subset by extracting a smaller number of features. We use Gaussian radial basis function as the kernel function for the two kernel stages in the proposed method. A parameter selection method for this kernel is proposed to select the optimal values for the proposed method. Experimental results on fault level diagnosis demonstrate that the proposed hybrid dimension reduction method has advantages over other approaches that use feature selection or KFDA separately.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Liu Z, Qu J, Zuo MJ, Xu H (2011) Classification for gear damage levels of planetary gearboxes. In: Proceedings of IEEE International Conference on Computational Intelligence for Measurement Systems and Applications, Ottawa

  2. Hameed Z, Hong YS, Cho YM, Ahn SH, Song CK (2009) Condition monitoring and fault detection of wind turbines and related algorithms: a review. Renew Sustain Energ Rev 13(1):1–39

    Article  Google Scholar 

  3. Samuel PD, Pines DJ (2005) A review of vibration-based techniques for helicopter transmission diagnostics. J Sound Vib 282(1–2):475–508

    Article  Google Scholar 

  4. Lei Y, Zuo MJ (2009) Gear crack level identification based on weighted k nearest neighbor classification algorithm. Mech Syst Signal Process 23(5):1535–1547

    Article  Google Scholar 

  5. Lei Y, He Z, Zi Y, Hu Q (2008) Fault diagnosis of rotating machinery based on a new hybrid clustering algorithm. Int J Adv Manuf Technol 35:968–977

    Article  Google Scholar 

  6. Li R-Q, Chen J, Wu X, Alugongo AA (2005) Fault diagnosis of rotating machinery based on SVD, FCM and RST. Int J Adv Manuf Technol 27:128–135

    Article  Google Scholar 

  7. Feng Z, Zuo MJ, Chu F (2010) Application of regularization dimension to gear damage assessment. Mech Syst Signal Process 24(4):1081–1098

    Article  Google Scholar 

  8. Combet F, Gelman L (2009) Optimal filtering of gear signals for early damage detection based on the spectral kurtosis. Mech Syst Signal Process 23(3):652–668

    Article  Google Scholar 

  9. Öztürk H, Sabuncu M (2008) Early detection of pitting damage in gears using mean frequency of scalogram. J Vib Control 14(4):469–484

    Article  MATH  Google Scholar 

  10. Loutridis SJ (2008) Self-similarity in vibration time series: application to gear fault diagnostics. Trans ASME J Vib Acoust 130:0310041–0310049

    Article  Google Scholar 

  11. Loutridis SJ (2006) Instantaneous energy density as a feature for gear fault detection. Mech Syst Signal Process 20(5):1239–1253

    Article  Google Scholar 

  12. Inalpolat M, Kahraman A (2009) A theoretical and experimental investigation of modulation sidebands of planetary gear sets. J Sound Vib 323(3–5):677–696

    Article  Google Scholar 

  13. Keller JA, Grabill P (2003) Vibration monitoring of UH-60A main transmission planetary carrier fault. American Helicopter Society 59th Annual Forum, Phoenix

  14. Jiang Q, Jia M, Hu J, Xu F (2009) Machinery fault diagnosis using supervised manifold learning. Mech Syst Signal Process 23(7):2301–2311

    Article  Google Scholar 

  15. Zhang K, Li Y, Scarf P, Ball A (2011) Feature selection for high-dimensional machinery fault diagnosis data using multiple models and radial basis function networks. Neurocomputing 74(17):2941–2952

    Article  Google Scholar 

  16. Zhang J-F, Huang Z-C (2005) Kernel Fisher discriminant analysis for bearing fault diagnosis. In: Proceedings of the Fourth International Conference on Machine Learning and Cybernetics, Wuhan

  17. Dundar MM, Fung G, Bi J, Sandilya S, Rao B (2005) Sparse fisher discriminant analysis for computer aided detection. In: Proceedings of SIAM International Conference on Data Mining, Newport Beach

  18. Sierra A (2002) High-order Fisher’s discriminant analysis. Pattern Recogn 35(6):1291–1302

    Article  MATH  Google Scholar 

  19. Wang L (2008) Feature selection with kernel class separability. IEEE Trans Pattern Anal Mach Intell 30(9):1534–1546

    Article  Google Scholar 

  20. Apaydin T, Ferhatosmanoglu H (2006) Access structures for angular similarity queries. IEEE Trans Knowl Data Eng 18(11):1512–1525

    Article  Google Scholar 

  21. Guyon I, Weston J, Barnhill S (2002) Gene selection for cancer classification using support vector machine. Mach Learn 46(1–3):389–422

    Article  MATH  Google Scholar 

  22. Zhao X, Zuo MJ, Liu Z, Hoseini M (2012) Diagnosis of artificially created surface damage levels of planet gear teeth using ordinal ranking. Measurement (in press)

  23. Theodoridis S, Koutroumbas K (2008) Pattern Recogn, 4th edn. Academic, Amsterdam

    Google Scholar 

  24. Mika S, Ratsch G, Weston J, Scholkopf B, Mullers KR (1999) Fisher discriminant analysis with kernels. In: Proceedings of the 1999 IEEE Signal Processing Society Workshop

  25. Cai D, He X, Han J (2008) SRDA: An efficient algorithm for large-scale discriminant analysis. IEEE Trans Knowl Data Eng 20(1):1–12

    Article  Google Scholar 

  26. Xu Z, Dai M, Meng D (2009) Fast and efficient strategies for model selection of Gaussian support vector machine. IEEE Trans Syst Man Cybern B Cybern 39(5):1292–1307

    Article  Google Scholar 

  27. Liu Z, Zuo MJ, Xu H (2011) A Gaussian radial basis function based feature selection algorithm. In: Proceedings of IEEE International Conference on Computational Intelligence for Measurement Systems and Applications, Ottawa

  28. Chong EKP, Żak SH (2008) An Introduction to optimization, 3rd edn. Wiley, Hoboken

    Book  MATH  Google Scholar 

  29. Zhou X, Lei Y, Wolfe D, Zuo MJ (2008) Gear stress calculation of the planetary gearbox system (Chinese standard). Technical report, Department of Mechanical Engineering, University of Alberta, Edmonton

  30. Hoseini M, Zuo MJ (2008) A literature survey on the creating and quantifying faults on planetary gearbox. Technical report, Department of Mechanical Engineering, University of Alberta, Edmonton

  31. Hoseini M, Zuo MJ (2009) A literature survey on the creating and quantifying faults on planetary gearbox. Technical report, Department of Mechanical Engineering, University of Alberta, Edmonton

  32. Author of Publication, A-B-C Phase Diagram, ASM Alloy Phase Diagrams Center, Villars P, Okamoto H, Cenzual K (2006) ASM International, Materials Park, OH. Available from http://www1.asminternational.org/AsmEnterprise/APD

  33. Lebold M, McClintic K, Campbell R, Byington C, Maynard K (2000) Review of vibration analysis methods for gearbox diagnostics and prognostics. In: Proceedings of the 54th Meeting of the Society for Machinery Failure Prevention Technology, Virginia Beach

  34. Večeř P, Kreidl M, Šmíd R (2005) Condition indicators for gearbox condition monitoring systems. Acta Polytechnica 45(6):35–43

    Google Scholar 

  35. Zuo MJ, Li W, Fan XF (2005) Statistical methods for low speed planetary gearbox monitoring. Technical report, Department of Mechanical Engineering, University of Alberta, Edmonton

  36. Decker HJ (2002) Crack detection for aerospace quality spur gears. NASA/TM-2002-211492, ARL-TR-2682

  37. Ho TK (1998) The random subspace method for constructing decision forests. IEEE Trans Pattern Anal Mach Intell 20(8):832–844

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ming J. Zuo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, Z., Qu, J., Zuo, M.J. et al. Fault level diagnosis for planetary gearboxes using hybrid kernel feature selection and kernel Fisher discriminant analysis. Int J Adv Manuf Technol 67, 1217–1230 (2013). https://doi.org/10.1007/s00170-012-4560-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-012-4560-y

Keywords

Navigation