Abstract
Varying speed machinery condition detection and fault diagnosis are more difficult due to non-stationary machine dynamics and vibration. Therefore, most conventional signal processing methods based on time invariant carried out in constant time interval are frequently unable to provide meaningful results. In this paper, a study is presented to apply order cepstrum and radial basis function (RBF) artificial neural network (ANN) for gear fault detection during speedup process. This method combines computed order tracking, cepstrum analysis with ANN. First, the vibration signal during speed-up process of the gearbox is sampled at constant time increments and then is re-sampled at constant angle increments. Second, the re-sampled signals are processed by cepstrum analysis. The order cepstrum with normal, wear and crack fault are processed for feature extracting. In the end, the extracted features are used as inputs to RBF for recognition. The RBF is trained with a subset of the experimental data for known machine conditions. The ANN is tested by using the remaining set of data. The procedure is illustrated with the experimental vibration data of a gearbox. The results show the effectiveness of order cepstrum and RBF in detection and diagnosis of the gear condition.
Similar content being viewed by others
References
E. Lopatinskaia, J. Zhu and J. Mathew, Monitoring varying speed machinery vibration — I. The use of non-stationary recursive filters, Mechanical Systems and Signal Processing, 9(6) (1995) 635–645.
E. Lopatinskaia, J. Zhu and J. Mathew, Monitoring varying speed machinery vibration — II. Recursive filters and angle domain, Mechanical Systems and Signal Processing, 9(6) (1995) 647–655.
G. Meltzer and Y. Y. Ivanov, Fault detection in gear drives with non-stationary rotational speed — part I: the time-frequency approach, Mechanical Systems and Signal Processing, 17(5) (2003)1033–1047.
G. Meltzer and Y. Y. Ivanov, Fault detection in gear drives with non-stationary rotational speed — part II: the time-quefrency approach, Mechanical Systems and Signal Processing, 17(2) (2003)273–283.
Jian Da Wu, ChinWei Huang, Rongwen Huang, An application of a recursive kalman filtering algorithm in rotating machinery fault diagnosis, NDT&E International, 37(3) (2004) 411–419.
Zhinong Li, Zhaotong Wu, Yongyong He and Chu Fulei, Hidden Markov model-based fault diagnostics method in speed-up and speed-down process for rotating machinery, Mechanical Systems and Signal Processing, 19(2) (2005) 329–339.
R. Potter and M. Gribler, Computed Order Tracking Obsoletes Older Methods, Proceedings of the SAE Noise and Vibration conference, (1989) 63–67.
R. Potter, A New Order Tracking Method for Rotating Machinery, Sound and Vibration, 7 (1990) 30–34.
K. R. Fyfe, E. D. S. Munck, Analysis of computed order tracking, Mechanical Systems and Signal Processing, 11(2) (1997) 187–205.
K. M. Bossley and R. J. Mckendrick, Hybrid computed order tracking, Mechanical Systems and Signal Processing, 13(4) (1999) 627–641.
J. R. Blough, Development and analysis of time variant discrete Fourier transform order tracking, Mechanical Systems and Signal Processing, 17(6) (2003) 1185–1199.
Hui Li, Yuping Zhang and Haiqi Zheng, Angle Order Analysis Technique for Processing Non-stationary Vibrations, Proceedings of 7th International Symposium on Test and Measurement, 5 (2007) 4000–4003.
Hui Li and Yuping Zhang, Order Tracking and AR Spectrum Based Bearing Fault Detection Under Run-up Condition, Proceedings of the First Inter national Congress on Image and Signal Processing, 5 (2008) 286–290.
J. Lin and L. Qu, Feature extraction based on Morlet wavelet and its application for mechanical fault diagnosis, Journal of Sound and Vibration, 234(1) (2000) 135–148.
Y. S. Shin and J. J. Jeon, Pseudo Wigner-Ville time-frequency distribution and its application to machinery condition monitoring, Journal of Shock and Vibration, 1(4) (1993) 65–76.
Hui Li, Haiqi Zheng and Liwei Tang, Wigner-Ville Distribution Based on EMD for Faults Diagnosis of Bearing, Lecture Notes in Computer Science, 4223 (2006) 803–812.
W. J. Staszewski, K. Worden and G. R. Tomlinson, The-frequency analysis in gearbox fault detection using the Wigner-Ville distribution and pattern recognition, Mechanical Systems and Signal Processing, 11(5) (1997) 673–692.
Hui Li, Yuping Zhang, Haiqi Zheng, Hilbert-Huang transform and marginal spectrum for detection and diagnosis of localized defects in roller bearings. Journal of Mechanical Science and Technology, 23(2) (2009) 291–301.
H. Li, H. Q. Zheng and L. W. Tang, Faults Monitoring and Diagnosis of Ball Bearing Based on Hilbert-Huang Transformation, Key Engineering Material, 291 (2005) 649–654.
Hui Li, Yuping Zhang and Haiqi Zheng, Wear Detection in Gear System Using Hilbert-Huang Transform, Journal of Mechanical Science and Technology, 20(11) (2006) 1781–1789.
A. K. Jain and J. Mao, Special issue on artificial neural networks and statistical pattern recognition, IEEE Transactions on Neural Networks, 8 (1997) 35–41.
C. M. Bishop, Neural Networks for Pattern Recognition, Oxford University Press, Oxford, England, UK (1995).
J. Park and I. W. Sandberg, Universal Approximation Using Radial-basis-function Networks, Neural Computation, 5 (1993) 305–316.
D. F. Specht, Probabilistic Neural Networks, Neural Networks, 3 (1990) 109–118.
R. B. Pandall, A New Method of Modeling Gear Faults, Journal of Mechanical Design, 104 (1982) 259–267.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper was recommended for publication in revised form by Associate Editor Hong Hee Yoo
Hui Li received his B.S. in Mechanical Engineering from the Hebei Polytechnic University, Hebei, China, in 1991. He received his M.S. in Mechanical Engineering from the Harbin University of Science and Technology, Heilongjiang, China, in 1994. He received his PhD from the School of Mechanical Engineering of Tianjin University, Tianjin, China, in 2003. He was a postdoctoral researcher in Shijiazhuang Mechanical Engineering College from August 2003 to September 2005, and in Beijing Jiaotong University from March 2006 to December 2008. He is currently a professor in Mechanical Engineering at Shijiazhuang Institute of Railway Technology, China. His research and teaching interests include hybrid driven mechanism, kinematics and dynamics of machinery, mechatronics, CAD/CAPP, signal processing for machine health monitoring, diagnosis and prognosis. He is currently a senior member of the Chinese Society of Mechanical Engineering.
Rights and permissions
About this article
Cite this article
Li, H., Zhang, Y. & Zheng, H. Gear fault detection and diagnosis under speed-up condition based on order cepstrum and radial basis function neural network. J Mech Sci Technol 23, 2780–2789 (2009). https://doi.org/10.1007/s12206-009-0730-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-009-0730-8