Abstract
Low-dimensional relevant feature sets are ideal to avoid extra data mining for classification. The current work investigates the feasibility of utilizing energies of vibration signals in optimal frequency bands as features for machine fault diagnosis application. Energies in different frequency bands were derived based on Parseval's theorem. The optimal feature sets were extracted by optimization of the related frequency bands using genetic algorithm and a Modified distance function (MDF). The frequency bands and the number of bands were optimized based on the MDF. The MDF is designed to a) maximize the distance between centers of classes, b) minimize the dispersion of features in each class separately, and c) minimize dimension of extracted feature sets. The experimental signals in two different gearboxes were used to demonstrate the efficiency of the presented technique. The results show the effectiveness of the presented technique in gear fault diagnosis application.
Similar content being viewed by others
References
G. H. John et al., Irrelevant features and the subset selection problem, Machine Learning: Proceedings of the Eleventh International Conference (1994) 121–129.
M. Dash and H. Liu, Feature selection for classification, Intell. Data Anal., 1 (3) (1997) 131–156.
Q. Fan, K. Ikejo, K. Nagamura, M. Kawada and M. Hashimoto, Gear damage diagnosis and classification based on support vector machines, J. Adv. Mech. Des. Syst. Manuf., 8 (3) JAMDSM0021-JAMDSM0021 (2014).
R. Shao, W. Hu, Y. Wang and X. Qi, The fault feature extraction and classification of gear using principal component analysis and kernel principal component analysis based on the wavelet packet transform, Measurement, 54 (2014) 118–132.
C. Y. Yang and T. Y. Wu, Diagnostics of gear deterioration using EEMD approach and PCA process, Measurement, 61 (2015) 75–87.
Z.-B. Zhu and Z.-H. Song, A novel fault diagnosis system using pattern classification on kernel FDA subspace, Expert Syst. Appl., 38 (6) (2011) 6895–6905.
M. H. Gharavian, F. A. Ganj, A. R. Ohadi and H. H. Bafroui, Comparison of FDA-based and PCA-based features in fault diagnosis of automobile gearboxes, Neurocomputing, 121 (2013) 150–159.
M. Adil, M. Abid, A. Q. Khan, G. Mustafa and N. Ahmed, Exponential discriminant analysis for fault diagnosis, Neurocomputing, 171 (2016) 1344–1353.
N. Saravanan and K. I. Ramachandran, Fault diagnosis of spur bevel gear box using discrete wavelet features and decision tree classification, Expert Syst. Appl., 36 (5) (2009) 9564–9573.
I. Aydin, M. Karakose and E. Akin, An approach for automated fault diagnosis based on a fuzzy decision tree and boundary analysis of a reconstructed phase space, ISA Trans., 53 (2) (2014) 220–229.
Y. Cui, J. Shi and Z. Wang, Analog circuits fault diagnosis using multi-valued Fisher’s fuzzy decision tree (MFFDT), Int. J. Circuit Theory Appl., 44 (1) (2016) 240–260.
R. Li, S. U. Seckiner, D. He, E. Bechhoefer and P. Menon, Gear fault location detection for split torque gearbox using AE sensors, IEEE Trans. Syst. Man Cybern. Part C Appl. Rev., 42 (6) (2012) 1308–1317.
N. Lu, Z. Xiao and O. P. Malik, Feature extraction using adaptive multiwavelets and synthetic detection index for rotor fault diagnosis of rotating machinery, Mech. Syst. Signal Process., 52-53 (2015) 393–415.
Q. Hu, Z. He, Z. Zhang and Y. Zi, Fault diagnosis of rotating machinery based on improved wavelet package transform and SVMs ensemble, Mech. Syst. Signal Process., 21 (2) (2007) 688–705.
S. H. Kia, H. Henao and G. A. Capolino, Diagnosis of broken-bar fault in induction machines using discrete wavelet transform without slip estimation, IEEE Trans. Ind. Appl., 45 (4) (2009) 1395–1404.
Q. Fan, K. Ikejo, K. Nagamura, M. Kawada and M. Hashimoto, Diagnosis for gear tooth surface damage by empirical mode decomposition in cyclic fatigue test, J. Adv. Mech. Des. Syst. Manuf., 8 (3) (2014) JAMDSM0039-JAMDSM0039.
H. Li, J. Zhao, X. Zhang and H. Teng, Gear crack level classification based on EMD and EDT, Math. Probl. Eng. (2015).
S. J. Loutridis, Instantaneous energy density as a feature for gear fault detection, Mech. Syst. Signal Process., 20 (5) (2006) 1239–1253.
J. Xuan, H. Jiang, T. Shi and G. Liao, Gear fault classification using genetic programming and support vector machines, Int. J. Inf. Technol., 11 (9) (2005).
K. Mollazade, H. Ahmadi, M. Omid and R. Alimardani, Vibration-based fault diagnosis of hydraulic pump of tractor steering system by using energy technique, Mod. Appl. Sci., 3 (6) (2009) 59.
P. Huang, Z. Pan, X. Qi and J. Lei, Bearing fault diagnosis based on EMD and PSD, 2010 8th World Congress on Intelligent Control and Automation (WCICA) (2010) 1300–1304.
J. Cusido, L. Romeral, J. A. Ortega, A. Garcia and J. R. Riba, Wavelet and PDD as fault detection techniques, Electr. Power Syst. Res., 80 (8) (2010) 915–924.
H. Ahmadi and A. Moosavian, Fault diagnosis of journalbearing of generator using power spectral density and fault probability distribution function, Innovative Computing Technology, Springer (2011) 30–36.
K. Heidarbeigi, H. Ahmadi and M. Omid, Fault diagnosis of Massey Ferguson gearbox using power spectral density, Electrical Machines, 2008. ICEM 2008. 18th International Conference on (2008) 1–4.
A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, 3rd Edition, Upper Saddle River: Prentice Hall (2009).
E. T. Jaynes, Information theory and statistical mechanics, Physical Review, 106 (4) (1957) 620–630.
D. Whitley, A genetic algorithm tutorial, Stat. Comput., 4 (2) (1994) 65–85.
A. H. Zamanian and A. Ohadi, Gear fault diagnosis based on Gaussian correlation of vibrations signals and wavelet coefficients, Appl. Soft Comput., 11 (8) (2011) 4807–4819.
A. Ypma, Learning methods for machine vibration analysis and health monitoring, TU Delft, Delft University of Technology (2001).
B. Samanta, Gear fault detection using artificial neural networks and support vector machines with genetic algorithms, Mech. Syst. Signal Process., 18 (3) (2004) 625–644.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Eung-Soo Shin
Amir Hosein Zamanian received his B.Sc. from Bu-Ali Sina University in 2006, and his M.Sc. from Amirkabir University of Technology (Tehran Polytechnic) in 2010 both in Mechanical Engineering. He is currently pursuing his Ph.D. in Mechanical Engineering at Southern Methodist University. His research interests are robotics, dynamics and vibrations, signal processing, control, and soft computing.
Abdolreza Ohadi is a Professor of Mechanical Engineering in Amirkabir University of Technology (Tehran Polytechnic). He is interested in noise and vibrations, structural dynamics, noise and vibration control, rotor dynamics and fault detection. He received his B.Sc. and M.Sc. from Amirkabir University of Technology and his Ph.D. from Sharif University, all in Mechanical Engineering.
Rights and permissions
About this article
Cite this article
Zamanian, A.H., Ohadi, A. Application of energies of optimal frequency bands for fault diagnosis based on modified distance function. J Mech Sci Technol 31, 2701–2709 (2017). https://doi.org/10.1007/s12206-017-0513-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-017-0513-6