Model-Based Fault Diagnosis of a Planetary Gear Using Transmission Error



Published Sep 29, 2014
Jungho Park Jong Moon Ha Byeng D. Youn Sang Hyuck Leem Joo-Ho Choi Nam Ho Kim


A Planetary gear can transmit high torque ratio stably and, therefore, the gear is widely used in industrial applications, i.e., wind turbines, automobiles, helicopters. Unexpected failure of the planetary gear results in substantial economic loss and human casualties. Extensive efforts have been made to develop the fault diagnostic techniques of gears; however, the techniques are mostly concerned about spur gears. This is mainly because understanding of complex dynamic behaviors of a planetary gear is lacking, such as multiple gear contacts, non-stationary axis of rotation, etc. This study thus proposes model-based fault diagnostics for a planetary gear that is based upon its dynamic analysis. Instead of vibration signals, this study uses transmission error (TE) signals for fault diagnostics of the planetary gear because TE signals (a) are directly related to the dynamic behaviors of gear mesh stiffness and (b) increase as damages on a gear mesh reduce the gear mesh stiffness. A lumped parameter model was used for modeling dynamic behaviors of the planetary gear. For more precise modeling, mesh phase difference–between sun, ring, and planet gear– and contact ratio were taken into account in the lumped parameter model. After acquiring transmission error signals from the model, order analysis and data processing were executed to generate health related data for the planetary gear. Consequently, it is concluded that the use of transmission error signals helps gain understanding of complex dynamic behaviors of the planetary gear and diagnose its potential faults.

How to Cite

Park, J. ., Moon Ha, . J. ., D. Youn, B. ., Hyuck Leem, S. ., Choi, J.-H. ., & Ho Kim, N. . (2014). Model-Based Fault Diagnosis of a Planetary Gear Using Transmission Error. Annual Conference of the PHM Society, 6(1).
Abstract 351 | PDF Downloads 196



signal processing, fault diagnostics, Planetary Gear, Transmission Error, Lumped Parameter Model

Barszcz, T., & Randall, R. B. (2009). Application of spectral kurtosis for detection of a tooth crack in the planetary gear of a wind turbine. Mechanical Systems and Signal Processing, 23(4), 1352-1365.

Chaari, F., Fakhfakh, T., & Haddar, M. (2009). Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness. European Journal of Mechanics- A/Solids, 28(3), 461-468.

DAFUL (2013). DAFUL User’s Manual Ver. 4.2, Virtual Motion, Inc.

Hochmann, D., & Sadok, M. Theory of synchronous averaging Ω. (2004) Proceedings of IEEE Aerospace Conference, March 6-13,

J, Kim, (2001). A Study on the mesh stiffness of helical gear pair and dynamic characteristics of planetary gear train. Doctoral dissertation. Seoul National University,
Korea, Viewer .jsp?cid=959781&moi=65903&file=1450679

Lei, Y., Kong, D., Lin, J., & Zuo, M. J. (2012). Fault detection of planetary gearboxes using new diagnostic parameters. Measurement Science and Technology, 23(5), 055605.

Lebold, M., McClintic, K., Campbell, R., Byington, C., & Maynard, K. (2000). Review of vibration analysis methods for gearbox diagnostics and prognostics. Proceedings of the 54th Meeting of the Society for Machinery Failure Prevention Technology. May 1-4, Virginia Beach, VA.

Parker, R. G., & Lin, J. (2003). Mesh phasing relationships in planetary and epicyclic gears. ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp. 525-534. American Society of Mechanical Engineers. September 2–6

Qu, Y., He, D., Yoon, J., Van Hecke, B., Bechhoefer, E., & Zhu, J. (2014). Gearbox tooth cut fault diagnostics using acoustic emission and vibration sensors—A comparative study. Sensors, 14(1), 1372-1393.

Remond, D., & Mahfoudh, J. (2005). From transmission error measurements to angular sampling in rotating machines with discrete geometry. Shock and Vibration, 12(2), 149-161.

Samanta, B. (2004). Gear fault detection using artificial neural networks and support vector machines with genetic algorithms. Mechanical Systems and Signal Processing, 18(3), 625-644.

Saravanan, N., Cholairajan, S., & Ramachandran, K. I. (2009). Vibration-based fault diagnosis of spur bevel gear box using fuzzy technique. Expert Systems with
Applications, 36(2), 3119-3135.

Sirichai, S., Howard, I., Morgan, L., & Teh, K. (1997). Finite element analysis of gears in mesh. Fifth International Congress on Sound and Vibration, Australia, pp. 869- 876.

Zheng, H., Li, Z., & Chen, X. (2002). Gear fault diagnosis based on continuous wavelet transform. Mechanical Systems and Signal Processing, 16(2), 447-457.
Technical Research Papers

Most read articles by the same author(s)

1 2 > >>