Modeling and Detection of Localized Tooth Defects in Geared Systems

[+] Author and Article Information
M. El Badaoui, V. Cahouet, F. Guillet, J. Danière

LASPI-IUT de Roanne 20, Avenue de Paris 42 334 Roanne, France

P. Velex

Laboratoire de Mécanique des Contacts - UMR CNRS 5514 INSA de Lyon, Ba⁁t. 113, 20 Avenue Albert Einstein 69 621 Villeurbanne Cedex, France

J. Mech. Des 123(3), 422-430 (Feb 01, 1999) (9 pages) doi:10.1115/1.1349420 History: Received February 01, 1999
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.


Alattass, M., 1994, “Maintenance des machines tournantes. Signature des défauts d'engrenages droits et hélicoïdaux,” Ph.D. dissertation, INSA de Lyon, p. 198.
McFadden,  P. D., 1986, “Detecting Fatigue Cracks in Gears by Amplitude and Phase Demodulation of the Meshing Vibration,” ASME J. Vibr. Acoust. 108, pp. 165–170.
Choy,  F. K., Polyshchuk,  V., Zakrajsek,  J. J., Handschuh,  R. F., and Townsend,  D. P., 1996, “Analysis of the Effects of Surface Pitting and Wear on the Vibration of a Gear Transmission System,” Tribology Int. 29, No. 1, pp. 77–83.
Wang,  W. J., and McFadden,  P. D., 1995, “Application of Orthogonal Wavelets to Early Gear Damage Detection,” Mech. Syst. Signal Process. 109, No. 5, pp. 497–507.
Brennan,  M. J., Chen,  M. H., and Reynolds,  A. G., 1997, “Use of Vibration Measurements to Detect Local Tooth Defects in Gears,” Sound Vib. 31, No. 11, pp. 12–17.
Randall, R. B., 1980, “Cepstrum Analysis and Gearbox Fault Diagnosis,” Edition 2, Brüel and Kjaer Technical Bulletin, pp. 1–19.
Mahfoudh, J., Bard, C., Alattass, M., and Play, D., 1995, “Simulation of Gearbox Dynamic Behavior with Gear Faults,” Proc. 2nd ImechE International Conference on Gearbox Noise, Vibration and Diagnostics, London, C492/95, pp. 91–100.
Velex,  P., and Maatar,  M., 1996, “A Mathematical Model for Analyzing the Influence of Shape Deviations and Mounting Errors on Gear Dynamic Behaviour,” J. Sound Vib. 191, No. 5, pp. 629–660.
Bogert, B. P., Healy, M. J. R., and Tukey, J. W., 1963, “The Frequency Analysis of Time Series of Echoes: Cepstrum, Pseudo-autocovariance, Cross-cepstrum and Saphe Cracking,” Proc. Symp. Time Series Analysis, M. Rosemblah, ed., New York, Wiley, pp. 209–243.
Capdessus,  C., and Sidahmed,  M., 1992, “Analyse des vibrations d'un engrenage:cepstre, corrélation, spectre,” Traitement Signal 8, No. 5, pp. 365–372.
El Badaoui,  M., Guillet,  F., and Daniere,  J., 1999, “Surveillance des Systèmes Complexes à Engrenages par l'Analyse cepstrale synchrone,” Traitement Signal 16, No. 5, pp. 371–381.
Cahouet, V., El Badaoui, M., Velex, P., Guillet, F., and Daniere, J., 1999, “Simulations numériques et détection d'avaries sur les dentures d'engrenages cylindriques,” Proc. 4th World Congress on Gearing and Power Transmission,3 , Paris, pp. 2359–2370.
Drouiche,  K., Sidahmed,  M., and Grenier,  Y., 1991, “Détection de défauts d'engrenages par analyse vibratoire,” Traitement Signal 8, No. 5, pp. 331–343.


Grahic Jump Location
Gear model (degrees of freedom are represented on gear only)
Grahic Jump Location
Defect modeling and characteristic functions
Grahic Jump Location
Rectangular windowing function and power cepstrum of its second-order time derivative
Grahic Jump Location
Schematic representation of the geared system
Grahic Jump Location
Contour line plots of d(t) for various defect depths, widths and positions. Spur gears with long and short reliefs. (Pinion torque: 933 daN.m, pinion speed: 1000 rpm)
Grahic Jump Location
Contour line plots of d(t) for various defect depths, widths and positions. Helical gears with long and short reliefs. (Pinion torque: 933 daN.m, pinion speed: 1000 rpm)
Grahic Jump Location
Time signals and M.C.I. of experimental and simulated accelerations (Spur gears) Pinion torque: 200 daN.m, Pinion speed: 1000 rpm
Grahic Jump Location
Photographs of pinion tooth flanks (day 11 & 12) and tooth defect identification
Grahic Jump Location
Time signals and M.C.I curves of measured and simulated accelerations- Day 12-Defects characteristics are: Tooth #16, Da=0.5, L=0.12, P=80 μm, xc=0.5T1*T2*,zc=0.2.5b Tooth #2, Da=0.2,L=0.044, P=26 μm, xc=0.4T1T2,zc=−0.3b Pinion Torque: 200 daN.m, pinion speed: 1000 rpm




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In