Abstract
This work presents the application of a new signal processing technique, the Hilbert-Huang transform and its marginal spectrum, in analysis of vibration signals and fault diagnosis of roller bearings. The empirical mode decomposition (EMD), Hilbert-Huang transform (HHT) and marginal spectrum are introduced. First, the vibration signals are separated into several intrinsic mode functions (IMFs) by using EMD. Then the marginal spectrum of each IMF can be obtained. According to the marginal spectrum, the localized fault in a roller bearing can be detected and fault patterns can be identified. The experimental results show that the proposed method may provide not only an increase in the spectral resolution but also reliability for the fault detection and diagnosis of roller bearings.
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L. Cohen, Time-frequency analysis, Prentice-Hall, Englewood Cliffs, NJ, 1995.
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.
W. J. Staszewski, Wavelet based compression and feature selection for vibration analysis, Journal of Sound and Vibration, 211(5)(2000) 736–760.
C. James Li and Jun Ma, Wavelet decomposition of vibration for detection of bearing-localized defects, NDT&E International, 30(3)(1997) 143–149.
S. Prabhakar, A. R. Mohanty and A. S. Sekhar, Application of discrete wavelet transform for detection of ball bearing race fault, Tribology International, 3(12)(2002) 793–800.
W. J. Wang and P. D. Mcfadden, Application of orthogonal wavelet to early gear damage detection, Mechanical Systems and Signal Processing, 9(5) (1995) 497–507.
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.
L. Galleani and L. Cohen, The Wigner distribution for classical system, Physics Letters A, 302(4)(2002) 149–155.
G. Matz and F. Hlawatsch, Wigner distribution (nearly) everywhere: time-frequency analysis of signals, systems, random process, signal spaces, and frames, Signal Processing, 83(7)(2003) 1355–1378.
B. Boashash, Time-frequency signal analysis and processing, Prentice-Hall, Englewood Cliffs, NJ, 2003.
F. Hlawatsch and W. Kozek, The Wigner distribution of a linear signal space, IEEE transaction on signal process, 41(3)(1993) 1248–1258.
T. J. Wahl and J. S. Bolton, The application of the Wigner distribution to the identification of structure-borne noise components, Journal of Sound and Vibration, 163(1)(1993) 101–122.
H. O. Bartelt, K. H. Brenner and A. W. Lohmann, The Wigner distribution function and its optical production, Optics Communications, 32(1980) 32–38.
Q. Meng and L. Qu, Rotating machinery fault diagnosis using Wigner distribution, Mechanical Systems and Signal Processing, 5(3)(1991) 155–166.
J. Leuridan and H. V. D. Auweraer, The analysis of non-stationary dynamics signals, Sound and Vibration, 11(1994) 14–26.
Y. S. Shin and J. J. Jeon, Pseudo Wigner-Ville time-frequency distribution and its application to machinery condition monitoring, Shock and Vibration, 1(1993) 65–76.
N. E. Huang, Z. Shen and S. R. Long et al, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proceedings of the Royal Society London, Series A, 454(1998) 903–995.
W. Huang, Z. Shen, N. E. Huang and Y. C. Fung, Nonlinear Indicial Response of Complex Nonstationary Oscillations as Pulmonary Hypertension Responding to Step Hypoxia, Proc of the National Academy of Sciences, USA, 96(1999) 1834–1839.
W. Huang, Z. Shen, N. E. Huang and Y. C. Fung, Engineering Analysis of Biological Variables: An Example of Blood Pressure over One Day, Proc of the National Academy of Sciences, USA, 95(1998) 4816–4821.
W. Huang, Z. Shen, N. E. Huang and Y. C. Fung, Engineering Analysis of Intrinsic Mode and Indicial Response in Biology: the Transient Response of Pulmonary Blood Pressure to Step Hypoxia and Step Recovery, Proc of the National Academy of Science, USA,95(1998) 12766–12771.
N. E. Huang, Z. Shen and S. R. Long, A new view of nonlinear water waves: The Hilbert spectrum, Annual Review of Fluid Mechanics, 31(1999) 417–457.
L. Wang, C. Koblinsky, S. Howden and N. E. Huang, Interannual Variability in the South China Sea from Expendable Bathythermograph Data, Journal of Geophysical Research,104(10)(1999) 23509–23523.
M. L. Wu, S. Schubert, N. E. Huang, The Development of the South Asian Summer Monsoon and the Intraseasonal Oscillation, Journal of Climate, 12(7) (1999) 2054–2075.
M. Datig and T. Schlurmann, Performance and limitations of the Hilbert-Huang transformation (HHT) with an application to irregular water waves, Ocean Engineering, 31(14–15)(2004) 1783–1834.
J. Nunes, Y. Bouaoune, E. Delechelle, O. Niang and P. Bunel, Image analysis by bidimensional empirical mode decomposition, Image and Vision Computing, 21(12)(2003) 1019–1026.
S. Quek, P. Tua and Q. Wang, Detecting anomalies in beams and plate based on the Hilbert-Huang transform of real signals, Smart Materials and Structures,12(3)(2003) 447–460.
S. J. Loutridis, Damage detection in gear system using empirical mode decomposition, Engineering Structure, 26(12)(2004) 1833–1841.
Hui Li, Yuping Zhang and Haiqi Zheng, Wear Detection in Gear System Using Hilbert-Huang Transform. Journal of Mechanical Science and Technology (KSME Int.J.), 20(11)( 2006)1781–1789.
Hui Li, Haiqi Zheng, Liwei Tang, Wigner-Ville Distribution Based on EMD for Faults Diagnosis of Bearing, Lecture Notes in Computer Science, 4223 (2006)803–812.
M. Montesinos, J. Munoz-Cobo, C. Perez, Hilbert-Huang analysis of BWR detector signals: application to DR calculation and to corrupted signal analysis, Annals of Nuclear Energy, 30(6)(2003) 715–727.
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This paper was recommended for publication in revised form by Associate Editor Seong-Wook Hong
Hui Li received his B.S. degree in mechanical engineering from the Hebei Polytechnic University, Hebei, China, in 1991. He received his M.S. degree in mechanical engineering from the Harbin University of Science and Technology, Hei-longjiang, China, in 1994. He re-ceived his PhD degree from the School of Mechanical Engineering of Tianjin University, Tianjin, China, in 2003. 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.
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Li, H., Zhang, Y. & Zheng, H. Hilbert-Huang transform and marginal spectrum for detection and diagnosis of localized defects in roller bearings. J Mech Sci Technol 23, 291–301 (2009). https://doi.org/10.1007/s12206-008-1110-5
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DOI: https://doi.org/10.1007/s12206-008-1110-5