Hostname: page-component-848d4c4894-xfwgj Total loading time: 0 Render date: 2024-07-03T16:19:25.210Z Has data issue: false hasContentIssue false
  • English
  • Français

Tooth Profile Modification and its Effect on Spur Gear Pair Vibration in Presence of Localized Tooth Defect

Published online by Cambridge University Press:  08 May 2012

M. Divandari ,
B. H. Aghdam  and
R. Barzamini
M. Divandari*
Affiliation:
Department of Electrical Engineering, Aliabad Katoul branch, Islamic Azad University, Aliabad Katoul, Iran
B. H. Aghdam
Affiliation:
Mechanical Engineering Department, Tabriz University, Tabriz, Iran
R. Barzamini
Affiliation:
Electrical Engineering Department, Amirkabir University of Technology, Tehran, Iran
*
*Corresponding author (m.divandari@ieee.org)
Get access

Abstract

Vibration induced by gears includes important data about gearbox condition. We can use dynamic modeling of gear vibration for increasing our information about vibration generating mechanisms in gearboxes and dynamic behavior of gearbox in the presence of some kind of gear defects. In this paper a six degree-of-freedom nonlinear dynamic model including different gear errors and defects is developed for investigation of effects of tooth localized defect and profile modifications on overall gear dynamics. Interactions between tooth modifications and profile error are studied and the role of profile modification in dynamic response when a localized defect is incurred by a tooth is shown. It is indicated that although profile modifications and profile errors are micro-geometrical, they have considerable effects on vibrations of gear pair. Especially for the case of root relieved teeth that is shown to be more effective in reduction of vibration in the presence of tooth localized defect. Finally, the simulation results are compared with results from literature and the model is verified.

Keywords

Spur gear pairProfile modificationLocalized defectDynamic modeling
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 2 , June 2012 , pp. 373 - 381
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Ozguven, H. N. and Houser, D. R., “Mathematical Models Used in Gear Dynamics—A Review,” Journal of Sound and Vibration, 121, pp. 383–411 (1988).CrossRefGoogle Scholar
2. Kahraman, A. and Singh, R., “Non-Linear Dynamics of a Spur Gear Pair,” Journal of Sound and Vibration, 142, pp. 49–75 (1990).CrossRefGoogle Scholar
3. Ozguven, H. N., “A Non-Linear Mathematical Model for Dynamic Analysis of Spur Gears Including Shaft and Bearing Dynamics,” Journal of Sound and Vibration, 145, pp. 293–260 (1991).CrossRefGoogle Scholar
4. Blankership, G. W. and Kahraman, A., “Steady State Forced Response of a Mechanical Oscillator With Combined Parametric Excitation and Clearance Type Non-Linearity,” Journal of Sound and Vibration, 185, pp. 743–765 (1995).CrossRefGoogle Scholar
5. Theodossiades, S. and Natsiavas, S., “Nonlinear Dynamics of Gear-Pair Systems with Periodic Stiffness and Backlash,” Journal of Sound and Vibration, 229, pp. 287–310 (2000).CrossRefGoogle Scholar
6. Kuang, J.-H. and Lin, A.-D., “Theoretical Aspects of Torque Responses in Spur Gearing Due to Mesh Stiffness Variation,” Mechanical Systems and Signal Processing, 17, pp. 255–271 (2003).CrossRefGoogle Scholar
7. Amabili, M. and Rivola, A., “Dynamic Analysis of Spur Gear Pairs: Steady-State Response and Stability of the SDOF Model with Time-Varying Meshing Damping,” Mechanical Systems and Signal Processing, 11, pp. 375–390 (1997).CrossRefGoogle Scholar
8. Velex, P. and Ajmi, M., “On the Modelling of Excitations in Geared Systems by Transmission Errors,” Journal of Sound and Vibration, 290, pp. 882–909 (2006).CrossRefGoogle Scholar
9. Khang, N. V., Cau, T. M. and Dien, N. P., “Modeling Parametric Vibration of Gear-Pair Systems as a Tool for Aiding Gear Fault Diagnosis,” Technische Mechanik, Heft 3-4, pp. 198–205 (2004).Google Scholar
10. Rashidi, M. and Krantz, T., “Dynamics of a Split Torque Helicopter Transmission,” NASA Technical Memorandum 105681, Prepared for the Sixth International Power Transmission and Gearing Conference, September 13–16, (1992).Google Scholar
11. Fakhfakh, T., Walha, L., Louati, J. and Haddar, M., “Effect of Manufacturing and Assembly Defects on Two-Stage Gear Systems Vibration,” International Journal of Advances Mauf Technol, 29, pp. 1008–1018 (2006).Google Scholar
12. Kim, W., Yoo, H. H. and Chung, J., “Dynamic Analysis for a Pair of Spur Gears with Translational Motion Due to Bearing Deformation,” Journal of Sound and Vibration, 329, pp. 4409–442 (2010).CrossRefGoogle Scholar
13. 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).CrossRefGoogle Scholar
14. Wang, J., Li, R. and Peng, X., “Survey of Nonlinear Vibration of Gear Transmission Systems,” Applied Mechanics Review, 56 (2003).CrossRefGoogle Scholar
15. Bartelmus, W., “Mathemaical Modeling and Computer Simulation as an Aid to Gearbox Diagnostics,” Mechanical Systems and Signal Processing, 15, pp. 855–871 (2001).CrossRefGoogle Scholar
16. Kuang, J. H. and Lin, A. D., “The Effect of Tooth Wear on the Vibration Spectrum of a Spur Gear Pair,” Journal of Vibration and Acoustics, 123, p. 311 (2001).CrossRefGoogle Scholar
17. Parey, A. and Tandon, N., “Spur Gear Dynamic Models Including Defects—A Review,” The Shock and Vibration Digest, 35, pp. 465–478 (2003).CrossRefGoogle Scholar
18. Parey, A., Badaoui, M. E., Guillet, F. and Tandon, N., “Dynamic Modeling of Spur Gear Pair and Application of Empirical Mode Decomposition-Based Statistical Analysis for Early Detection of Localized Tooth Defect,” Journal of Sound and Vibration, 294, pp. 547–561 (2006).CrossRefGoogle Scholar
19. Fakhfakh, T., Chaari, F. and Haddar, M., “Numerical and Experimental Analysis of a Gear System with Teeth Defects,” International Journal of Advances Mauf Technol, 25, pp. 542–550 (2005).Google Scholar
20. Lin, A.-D. and Kuang, J.-H., “Dynamic Interaction Between Contact Loads and Tooth Wear of Engaged Plastic Gear Pairs,” International Journal of Mechanical Sciences, 50, pp. 205–213 (2008).CrossRefGoogle Scholar
21. Chen, Z. and Shao, Y., “Dynamic Simulation of Spur Gear with Tooth Root Crack Propagating Along Tooth Width and Crack Depth,” Engineering Failure Analysis, 18, pp. 2149–2164 (2011).CrossRefGoogle Scholar
22. Tavakoli, M. S. and Houser, D. R., “Optimum Profile Modifications for the Minimization of Static Transmission Errors of Spur Gears,” Journal of Mechanism, Transmissions, and Automation in Design, 108, pp. 86–95 (1986).CrossRefGoogle Scholar
23. Lin, H. H., Townsend, D. P. and Oswald, F. B., Profile Modification to Minimize Spur Gear Dynamic Loading, Design Engineering Technical Conference, sponsored by the ASME, Orlando, Florida (1988).Google Scholar
24. Cai, Y. and Hayashi, T., “Optimum Modification of Tooth Profile for a Pair of Spur Gears to Make its Rotational Vibration Equal Zero. In: Proceedings of the 1992 International Power Transmission and Gearing Conference,” ASME, Scottsdale, U.S.A., September 13–16, pp. 453–460 (1992).Google Scholar
25. Tharmakulasingam, R., Alfano, G. and Atherton, M., “Reduction of Gear Pair Transmission Error with Tooth Profile Modification, ISMA 2008,” International Conference on Noise and Vibration Engineering. Leuven, Belgium, 15–19 September (2008).Google Scholar
26. Kuang, J.-H. and Lin, A.-D., “Theoretical Aspects of Torque Responses in Spur Gearing Due to Mesh Stiffness Variation,” Mechanical Systems and Signal Processing, 17, pp. 255–271 (2003).CrossRefGoogle Scholar
27. Wang, Y., “Optimized Tooth Profile Based on Identified Gear Dynamic Model,” Mechanism and Machine Theory, 42, pp. 1058–1068 (2007)CrossRefGoogle Scholar
28. Barbieri, M., Scagliarini, G., Bonori, G., Pellicano, F. and Bertacchi, G., “Optimization Methods for Spur Gear Dynamics, Enoc 2008,” Saint Petersburg, Russia, June, 30–July, 4 (2008).Google Scholar
29. Osman, T. and Velex, Ph., “A Model for the Simulation of the Interactions Between Dynamic Tooth Loads and Contact Fatigue in Spur Gears,” Tribology International, corrected proof, in press (2011).Google Scholar
30. Yang, D. C. H. and Sun, Z. S., “A Rotary Model for Spur Gear Dynamics,” Journal of Mechanical Transmissions and Automation in Design, ASME, 107, pp. 529–535 (1985).CrossRefGoogle Scholar
31. Kuang, J. H. and Yang, Y. T., “An Estimate of Mesh Stiffness and Load Sharing Ratio of a Spur Gear Pair,” Proceedings of the ASME 12th International Power Transmission and Gearing Conference, AZ, DE-43, pp. 1–10 (1992).Google Scholar
32. Maitra, Gitin M, Handbook of Gear Design, TATA McGraw-Hill Publishing Company Limited (1985).Google Scholar
33. White, M. F., “Simulation and Analysis of Machinery Fault Signals,” Journal of Sound and Vibration, 93, pp. 95–116 (1984).CrossRefGoogle Scholar