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Dynamic Behaviour of Back to Back Planetary Gear in Run Up and Run Down Transient Regimes

Published online by Cambridge University Press:  11 August 2015

A. Hammami ,
A. Fernandez Del Rincon ,
F. Chaari ,
F. Viadero Rueda  and
M. Haddar
A. Hammami
Affiliation:
Mechanics, Modeling and Production Laboratory, National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia Department of Structural and Mechanical Engineering, Faculty of Industrial and Telecommunications Engineering, University of Cantabria Santander, Spain
A. Fernandez Del Rincon
Affiliation:
Department of Structural and Mechanical Engineering, Faculty of Industrial and Telecommunications Engineering, University of Cantabria Santander, Spain
F. Chaari*
Affiliation:
Mechanics, Modeling and Production Laboratory, National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia
F. Viadero Rueda
Affiliation:
Department of Structural and Mechanical Engineering, Faculty of Industrial and Telecommunications Engineering, University of Cantabria Santander, Spain
M. Haddar
Affiliation:
Mechanics, Modeling and Production Laboratory, National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia
*
* Corresponding author ([email protected])
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Abstract

The operating cycle of planetary gear transmissions is composed by the run up regime, steady state regime with fixed speed and the run down regime. Run up and run down are one of the main non stationary excitations for planetary gearboxes. This paper investigates, in these two regimes, the dynamic behaviour of a special configuration of two stages planetary gear which are mounted back-to-back. A dynamic model is developed. The variability of speed in the run up and run down regimes is included in the model. The computation of the dynamic response shows that additional sidebands instability zones are generated. Using the Short Time Fourier Transform, an amplitude-frequency modulation is observed in the non stationary condition. An experimental study done on a back-to-back planetary gear test rig is conducted for validation of the mathematic model.

Keywords

Back-to-back planetary gearsNon stationary conditionRun up and run downDynamic behaviour
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 4 , August 2015 , pp. 481 - 491
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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References

1.McFadden, P. D. and Smith, J. D., “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 C1, pp. 65–70 (1985).Google Scholar
2.Inalpolat, M. and Kahraman, A., “A Theoretical and Experimental Investigation of Modulation Sidebands of Planetary Gear Sets,” xJournal of Sound and Vibration, 323, pp. 677–696 (2009).Google Scholar
3.Ligata, H., Kahraman, A. and Singh, A., “An Experimental Study of the Influence of Manufacturing Errors on the Planetary Gear Stresses and Planet Load Sharing,” Journal of Mechanical Design, 130, p. 041701 (2008).Google Scholar
4.Singh, A., Kahraman, A. and Ligata, H., “Internal Gear Strains and Load Sharing in Planetary Transmissions: Model and experiments,” Journal of Mechanical Design, 130, p. 072602 (2008).Google Scholar
5.Boyd, L. S., Two Stage Gear Tooth Dynamics Program, NASA Contractor Report 185110, NASA, US (1989).Google Scholar
6.Chaari, F., Abbes, M. S., Viadero Rueda, F., Fernandez del Rincon, A. and Haddar, M., “Analysis of Planetary Gear Transmission in Non-Stationary Operations,” Frontiers Mechanical Engineering, 8, pp. 88–94 (2013).Google Scholar
7.Zimroz, R., Millioz, F. and Martin, N., “A Procedure of Vibration Analysis from Plan from Planetary Gearbox Under Non-Stationary Cyclic Operations for Instantaneous Frequency Estimation in Time-Frequency Domain,” CM and MFPT 2010, Stafford-upon-Avon, UK (2010).Google Scholar
8.Kim, W., Lee, J. Y. and Chung, J., “Dynamic Analysis for a Planetary Gear with Time-Varying Pressure Angles and Contact Ratios,” Journal of Sound and Vibration, 331, pp. 883–901 (2012).Google Scholar
9.Lopatinskaia, E., Zhu, J. and Mathew, J., “Monitoring Varying Speed Machinery Vibration-I. The Use of Non-Stationary Recursive Filters,” Mechanical Systems and Signal Processing, 9, pp. 635–645(1995)Google Scholar
10.Lopatinskaia, E., Zhu, J. and Mathew, J., “Monitoring Varying Speed Machinery Vibration -II. Recursive Filters and Angle Domain,” Mechanical Systems and Signal Processing, 9, pp. 647–655 (1995).Google Scholar
11.Meltzer, G. and Ivanov, Y. Y., “Fault Detection in Gear Drives with Non-Stationary Rotational Speed-Part I: The Time-Frequency Approach,” Mechanical Systems and Signal Processing, 17, pp. 1033–1047 (2003).CrossRefGoogle Scholar
12.Meltzer, G. and Ivanov, Y. Y., “Fault Detection in Gear Drives with Non-Stationary Rotational Speed-Part II: The Time-Quefrency Approach,” Mechanical Systems and Signal Processing, 1, pp. 273–283 (2003).Google Scholar
13.Zimroz, R., Urbanek, J., Barszcz, T., Bartelmus, W., Millioz, F. and Martin, N., “Measurement of Instantaneous Shaft Speed by Advanced Vibration Signal Processing-Application to Wind Turbine Gearbox,” Metrology and Measurement Systems, 4, pp. 701–712 (2011).Google Scholar
14.Khabou, M. T., Bouchaala, N., Chaari, F., Fakhfakh, T. and Haddar, M., “Study of a Spur Gear Dynamic Behavior in Transient Regime,” Mechanical Systems and Signal Processing, 25, pp. 3089–3101 (2011).Google Scholar
15.Bouchaala, N., Chaari, F., Khabou, M. T., Fakhfakh, T. and Haddar, M., “Influence of the Non-Linear Hertzian Stiffness on the Dynamics of a Spur Gear System Under Transient Regime and Tooth Defects,” International Journal of Vehicle Noise and Vibration, 7, pp. 149–177 (2011).Google Scholar
16.Viadero, F., Fernñndez, A., Iglesias, M., de-Juan, A., Liaño, E. and Serna, M. A., “Non-Stationary Dynamic Analysis of a Wind Turbine Power Drive Train: Offshore Considerations,” Applied Acoustics, 77, pp. 204–211 (2014).Google Scholar
17.Hammami, A., Fernandez Del Rincon, A., Viadero Rueda, F., Chaari, F. and Haddar, M., “Dynamic Behavior of Two Stages Planetary Gearbox in Non-Stationary Operations,” Surveillance 7 International Conference, France (2013).Google Scholar
18.Lin, J. and Parker, R. G., “Planetary Gear Parametric Instability Caused by Mesh Stiffness Variation,” Journal of Sound and Vibration, 249, pp. 129–145 (2002).Google Scholar
19.Jian, L. and Parker, G. R., “Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems,” Journal of Vibration and Acoustics, 124, pp. 68–76 (2002).Google Scholar
20.Iglesias Santamaria, M., “Modelo Para El Estudio Del Comportamiento Vibratorio De Transmisiones Planetarias,” Ph.D. Dissertation, University of Cantabria (2013).Google Scholar
21.Parker, R. G. and Lin, J., “Mesh Phasing Relationship in Planetary and Epicyclic Gears,” Journal of Mechanical Design, 126, pp. 365–370 (2004).Google Scholar
22.Dhatt, G. and Touzot, G., Une Présentation De La Méthode Des Éléments Finis, Presses Université Laval, Paris (1981).Google Scholar
23.Litvin, F. L. and Fuentes, A., Gear Geometry and Applied Theory, 2nd Edition Cambridge University Press, Cambridge (2004).Google Scholar
24. Meirovitch, L., Fundamentals of Vibrations, Wave-land Press, Inc., Long Grove, Illinois (2001).Google Scholar
25.Drago, R. J., “The Effect of Start-Up Load Conditions on Gearbox Performance and Life Failure Analysis, with Supporting Case Study,” American Gear Manufacturers Association Fall Technical Meeting Detroit, Michigan, US (2009).Google Scholar