Gear tooth pitting modelling and detection based on transmission error measurements

Authors

  • Nabih Feki LaMCoS, INSA Lyon, Université de Lyon, UMR CNRS 5259, Bâtiment Jean d’Alembert 20, Avenue Albert Einstein, Villeurbanne Cedex 69621, France
  • Jérôme Cavoret LaMCoS, INSA Lyon, Université de Lyon, UMR CNRS 5259, Bâtiment Jean d’Alembert 20, Avenue Albert Einstein, Villeurbanne Cedex 69621, France
  • Fabrice Ville LaMCoS, INSA Lyon, Université de Lyon, UMR CNRS 5259, Bâtiment Jean d’Alembert 20, Avenue Albert Einstein, Villeurbanne Cedex 69621, France
  • Philippe Velex LaMCoS, INSA Lyon, Université de Lyon, UMR CNRS 5259, Bâtiment Jean d’Alembert 20, Avenue Albert Einstein, Villeurbanne Cedex 69621, France

Keywords:

gear, transmission error, tooth pitting, diagnosis, modelling

Abstract

In this study, an experimental validation of a 3D gear dynamic model in the presence of localised faults such as pitting on tooth flanks is proposed. The corresponding numerical model accounts for spur and helical gear systems including gear errors and deviations along with the supporting shafts and bearings. Simulation results are compared with the evidence from a back-to-back test rig and the model validation relies on loaded transmission error (TE) measurements. Many numerical and experimental results on dynamic behaviours due to the presence of tooth pitting in geared systems are presented. Based on TE measurements, it is demonstrated that the actual vibrations generated by gear tooth pitting validate the gear model and its extension to consider such tooth surface failures.

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References

Abousleiman, V., & Velex, P. (2006). A hybrid 3D finite element/lumped parameter model for

quasi-static and dynamic analyses of planetary/epicyclic gear sets. Mechanism and Machine

Theory, 41, 725–748.

De Vaujany, J.-P., Remond, D., & Guingand, M. (2005). Numerical simulation and measurement

of gear transmission error of aeronautical spiral bevel gears. In Proceeding of the XVII French

Congress of Mechanics.

DGMK Information Sheet (2006). Short test procedure to investigate the lubricant influence on

the pitting carrying capacity of gears. Deutsche Wissenschaftliche Gesellschaft für Erdöl, Erdgas

und Kohle e.V.

El Badaoui, M., Cahouet, V., Guillet, F., Danière, J., & Velex, P. (2001). Modeling and detection

of localized tooth defects in geared systems. ASME, Journal of Mechanical Design, 123,

–430.

Feki, N., Clerc, G., & Velex, P. (2012). An integrated electro-mechanical model of motor-gear

units – Applications to tooth fault detection by electric measurements. Mechanical Systems

and Signal Processing, 29, 377–390.

Feki, N., Clerc, G., & Velex, P. (2013). Gear and motor fault modeling and detection based on

motor current analysis. Electric Power Systems Research, 95, 28–37.

Höhn, B.-R., Oster, P., Tobie, T., & Michaelis, K. (2008). Test methods for gear lubricants. Goriva

i Maziva, 47, 129–152.

Inalpolat, M., & Kahraman, A. (2009). A theoretical and experimental investigation of modulation

sidebands of planetary gear sets. Journal of Sound and Vibration, 323, 677–696.

Lundberg, G. (1939). Contact of two elastic half-spaces. Forschung auf dem Gebiete des Ingenieurwesens,

, 201–211.

McFadden, P. D., & Smith, J. D. (1985). An explanation for the asymmetry of the modulation

sidebands about the tooth meshing frequency in epicyclic gear vibration. Proceedings of the

Institution of Mechanical Engineers, 199, 65–70.

Olver, A. V. (2005). The mechanism of rolling contact fatigue: An update. Journal of Engineering

Tribology, 219, 313–330.

Raclot, J.-P., & Velex, P. (1999). Simulation of the dynamic behaviour of single and multi-stage

geared systems with shape deviations and mounting errors by using a spectral method.

Journal of Sound and Vibration, 220, 861–903.

Remond, D. (1998). Practical performances of high-speed measurement of gear transmission

error or torsional vibrations with optical encoders. Measurement Science & Technology, 9,

–353.

Remond, D., & Play, D. (1999). Advantages and perspectives of gear transmission error measurement

with optical encoders. Paris: Congrès Mondial des Engrenages et Transmissions.

Stoica, P., & Moses, R. L. (2005). Spectral analysis of signals. Upper Saddle River, NJ: Pearson/

Prentice Hall.

Velex, P., & Ajmi, M. (2006). On the modeling of excitations in geared systems by transmission

errors. Journal of Sound and Vibration, 290, 882–909.

Velex, P., & Maatar, M. (1996). A mathematical model for analyzing the influence of shape deviations

and mounting errors on gear dynamic behaviour. Journal of Sound and Vibration, 191,

–660.

Weber, C., & Banaschek, K. (1953). Shape change and profile relief for spur and helical gears.

Schriftenreihe Antriebstechnik, 11, Braunschweig: F. Vieweg und Sohn.

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Published

2013-04-01

How to Cite

Nabih Feki, Jérôme Cavoret, Fabrice Ville, & Philippe Velex. (2013). Gear tooth pitting modelling and detection based on transmission error measurements. European Journal of Computational Mechanics, 22(2-4), 106–119. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/1385

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Original Article