Detection of gear faults in variable rotating speed using variational mode decomposition (VMD)

Hafida Mahgoun; Fakher Chaari; Ahmed Felkaoui

doi:10.1051/meca/2015058

All issues

Volume 17 / No 2 (2016)

Mechanics & Industry, 17 2 (2016) 207

References

Open Access

Issue		Mechanics & Industry Volume 17, Number 2, 2016


Article Number		207
Number of page(s)		14
DOI		https://doi.org/10.1051/meca/2015058
Published online		01 February 2016

P.D. McFadden, Detecting fatigue cracks in gears by amplitude and phase demodulation of the meshing vibration, Transaction of the ASME, J. Vibr., Acoust. Stress Reab. Design 108 (1986) 165–170 [Google Scholar]
Jiesi Luo, Dejie Yu, Ming Liang, Application of multi-scale chirplet path pursuit and fractional Fourier transform for gear fault detection in speed up and speed-down processes, J. Sound Vibr. 331 (2012) 4971–4986 [CrossRef] [Google Scholar]
C. Capdessus, M. Sidahmed, Analyse des vibrations d’un engrenage: cepstre, corrélation, spectre, Traitement du signal 8 (1992) 365–371 [Google Scholar]
E.B. Halim, M.A.A. Choudhury, S.L. Shah, M.J. Zuo, Time domain averaging across all scales: A novel method for detection of gearbox faults, Mech. Syst. Signal Process. 22 (2008) 261–278 [CrossRef] [Google Scholar]
H. Mahgoun, R.E. Bekka, A. Felkaoui, Gearbox fault diagnosis using ensemble empirical mode decomposition (EEMD) and residual signal, Mechanics & Industry 13 (2012) 33–44 [CrossRef] [EDP Sciences] [Google Scholar]
C. Capdessus, E. Sekko, J. Antoni, Speed transform, a new time-varying frequency analysis technique, CMMNO2013, Ferara (2013) [Google Scholar]
H. Mahgoun, A. Felkaoui, S. Fedala, F. Chaari, Detection of Gear Faults in Variable Rotating Speed Using EEMD Decomposition and Instantaneous Frequency, 4th International Conference on Condition Monitoring of Machinery in Non-stationary Operations, CMMNO-2014, 15–16 Decmber, 2014 Lyon, France [Google Scholar]
T.Y. Wu, J.C. Chen, C.C. Wang, Characterization of gear faults invariable rotating speed using Hilbert-Huang Transform and instantaneous dimensionless frequency normalization, Mech. Syst. Signal Process. 30 (2012) 103–122 [CrossRef] [Google Scholar]
Z. Wu, N.E. Huang, Ensemble empirical mode decomposition: a noise-assisted data analysis method, Adv. Adaptive Data Anal. 1 (2009) 1–41 [Google Scholar]
B. Liu, S. Riemenschneider, Y. Xub, Gearbox fault diagnosis using empirical mode decomposition and Hilbert spectrum, Mech. Syst. Signal Process. 17 (2005) 1–17 [Google Scholar]
T.Y. Wu, Y.L. Chung, Misalignment Diagnosis of Rotating Machinery through Vibration Analysis via Hybrid EEMD and EMD approach, Smart Mater. Struct. 18 (2009) [Google Scholar]
N.E. Huang, Z. Shen, S.R. Long, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, in: Proc. Royal Soc. London Ser. 454 (1998) 903–995 [Google Scholar]
K. Dragomiretskiy, D. Zosso, Variational Mode Decomposition, IEEE Trans. Signal Process. 62 (2014) 531–544 [Google Scholar]
N.E. Huang, M.L. Wu, S.R. Long, A confidence limit for the empirical mode decomposition and Hilbert spectral analysis, Proc. Royal Soc. London 459 (2003) 2317–2345 [CrossRef] [Google Scholar]
M.A. Colominas, G. Schlotthauer, M.E. Torres, Improved complete ensemble EMD: A suitable tool for biomedical signal processing, Biomed. Signal Process. Control 14 (2014) 19–29 [CrossRef] [Google Scholar]
G. Rilling, P. Flandrin, One or two frequencies? The empirical mode decomposition answers, IEEE Trans. Signal Process. 56 (2008) 85–95 [Google Scholar]
I. Daubechies, J. Lu, H.-T. Wu, Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool, J. Appl. Computat. Harmonic Anal. 30 (2011) 243–261 [Google Scholar]
H. Mahgoun, A. Felkaoui, R.E. Bekka, The effect of resampling on the analyses results of ensemble empirical mode decomposition (EEMD), International Conference surveillance 6, Compiègne France, 25–26 October, 2011 [Google Scholar]
G. Rilling, P. Flandrin, Sampling effects on the empirical mode decomposition, Adv. Adapt. Data Anal. 01 (2009) 43–59 [CrossRef] [Google Scholar]
F. Chaari, W. Bartelmus, R. Zimroz, T. Fakhfakh, M. Haddar, Gearbox vibration signal amplitude and frequency modulation, Shock Vibration 19 (2012) 635–652 [CrossRef] [Google Scholar]
F. Chaari, M.S. Abbes, F.V. Rueda, A.F. del Rincon, M. Haddar, Analysis of planetary gear transmission in non-stationary operations, Front. Mech. Eng. 8 (2013) 88–94 [CrossRef] [Google Scholar]
W. Bartelmus, R. Zimroz, Vibration condition monitoring of planetary gearbox under varying external load, Mech. Syst. Signal Process. 23 (2009) 246–257 [CrossRef] [Google Scholar]
T. Peng, Coupled multi-body dynamic and vibration analysis of hypoid and bevel geared rotor system, Ph.D. Thesis, University of Cincinnati, United States, 2010 [Google Scholar]

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[1] P.D. McFadden, Detecting fatigue cracks in gears by amplitude and phase demodulation of the meshing vibration, Transaction of the ASME, J. Vibr., Acoust. Stress Reab. Design 108 (1986) 165–170 [Google Scholar]

[2] Jiesi Luo, Dejie Yu, Ming Liang, Application of multi-scale chirplet path pursuit and fractional Fourier transform for gear fault detection in speed up and speed-down processes, J. Sound Vibr. 331 (2012) 4971–4986 [CrossRef] [Google Scholar]

[3] C. Capdessus, M. Sidahmed, Analyse des vibrations d’un engrenage: cepstre, corrélation, spectre, Traitement du signal 8 (1992) 365–371 [Google Scholar]

[4] E.B. Halim, M.A.A. Choudhury, S.L. Shah, M.J. Zuo, Time domain averaging across all scales: A novel method for detection of gearbox faults, Mech. Syst. Signal Process. 22 (2008) 261–278 [CrossRef] [Google Scholar]

[5] H. Mahgoun, R.E. Bekka, A. Felkaoui, Gearbox fault diagnosis using ensemble empirical mode decomposition (EEMD) and residual signal, Mechanics & Industry 13 (2012) 33–44 [CrossRef] [EDP Sciences] [Google Scholar]

[6] C. Capdessus, E. Sekko, J. Antoni, Speed transform, a new time-varying frequency analysis technique, CMMNO2013, Ferara (2013) [Google Scholar]

[7] H. Mahgoun, A. Felkaoui, S. Fedala, F. Chaari, Detection of Gear Faults in Variable Rotating Speed Using EEMD Decomposition and Instantaneous Frequency, 4th International Conference on Condition Monitoring of Machinery in Non-stationary Operations, CMMNO-2014, 15–16 Decmber, 2014 Lyon, France [Google Scholar]

[8] T.Y. Wu, J.C. Chen, C.C. Wang, Characterization of gear faults invariable rotating speed using Hilbert-Huang Transform and instantaneous dimensionless frequency normalization, Mech. Syst. Signal Process. 30 (2012) 103–122 [CrossRef] [Google Scholar]

[9] Z. Wu, N.E. Huang, Ensemble empirical mode decomposition: a noise-assisted data analysis method, Adv. Adaptive Data Anal. 1 (2009) 1–41 [Google Scholar]

[10] B. Liu, S. Riemenschneider, Y. Xub, Gearbox fault diagnosis using empirical mode decomposition and Hilbert spectrum, Mech. Syst. Signal Process. 17 (2005) 1–17 [Google Scholar]

[11] T.Y. Wu, Y.L. Chung, Misalignment Diagnosis of Rotating Machinery through Vibration Analysis via Hybrid EEMD and EMD approach, Smart Mater. Struct. 18 (2009) [Google Scholar]

[12] N.E. Huang, Z. Shen, S.R. Long, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, in: Proc. Royal Soc. London Ser. 454 (1998) 903–995 [Google Scholar]

[13] K. Dragomiretskiy, D. Zosso, Variational Mode Decomposition, IEEE Trans. Signal Process. 62 (2014) 531–544 [Google Scholar]

[14] N.E. Huang, M.L. Wu, S.R. Long, A confidence limit for the empirical mode decomposition and Hilbert spectral analysis, Proc. Royal Soc. London 459 (2003) 2317–2345 [CrossRef] [Google Scholar]

[15] M.A. Colominas, G. Schlotthauer, M.E. Torres, Improved complete ensemble EMD: A suitable tool for biomedical signal processing, Biomed. Signal Process. Control 14 (2014) 19–29 [CrossRef] [Google Scholar]

[16] G. Rilling, P. Flandrin, One or two frequencies? The empirical mode decomposition answers, IEEE Trans. Signal Process. 56 (2008) 85–95 [Google Scholar]

[17] I. Daubechies, J. Lu, H.-T. Wu, Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool, J. Appl. Computat. Harmonic Anal. 30 (2011) 243–261 [Google Scholar]

[18] H. Mahgoun, A. Felkaoui, R.E. Bekka, The effect of resampling on the analyses results of ensemble empirical mode decomposition (EEMD), International Conference surveillance 6, Compiègne France, 25–26 October, 2011 [Google Scholar]

[19] G. Rilling, P. Flandrin, Sampling effects on the empirical mode decomposition, Adv. Adapt. Data Anal. 01 (2009) 43–59 [CrossRef] [Google Scholar]

[20] F. Chaari, W. Bartelmus, R. Zimroz, T. Fakhfakh, M. Haddar, Gearbox vibration signal amplitude and frequency modulation, Shock Vibration 19 (2012) 635–652 [CrossRef] [Google Scholar]

[21] F. Chaari, M.S. Abbes, F.V. Rueda, A.F. del Rincon, M. Haddar, Analysis of planetary gear transmission in non-stationary operations, Front. Mech. Eng. 8 (2013) 88–94 [CrossRef] [Google Scholar]

[22] W. Bartelmus, R. Zimroz, Vibration condition monitoring of planetary gearbox under varying external load, Mech. Syst. Signal Process. 23 (2009) 246–257 [CrossRef] [Google Scholar]

[23] T. Peng, Coupled multi-body dynamic and vibration analysis of hypoid and bevel geared rotor system, Ph.D. Thesis, University of Cincinnati, United States, 2010 [Google Scholar]