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A Geartrain Model With Dynamic or Quasi-Static Formulation for Variable Mesh Stiffness
Technical Paper
2005-01-1649
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
A new model of spur gear contact and gear dynamics was developed for use in studies of dynamic response of mechanical systems involving geartrains. The model is general; in this paper it is applied to geartrain dynamics in valvetrain gear drives. The model dynamically uses a gear contact formulation based on exact involute geometries of gear teeth and can therefore account for varying, non-linear mesh stiffness. It can also account for gear torsional stiffness as well as shaft stiffness at gear centers. The paper further proposes an alternative to dynamic calculation of instantaneous gear tooth contact conditions. The proposed method uses a varying effective mesh stiffness pre-computed through static calculation of contact conditions between teeth of a gear pair, for one mesh, or tooth engagement-disengagement, period. The technique is shown to significantly reduce computational time, while closely matching the predictions of the full model. Since the complex variation of gear mesh stiffness is mainly due to tooth contact kinematics, the model provides a practical and accurate alternative to measuring gear mesh stiffness or calculating it through a detailed FE model of a gear pair.
The model is first exercised in validation examples, in which results for a gear pair are compared to published experimental data and computations. The model is then applied in the context of a realistic valvetrain system of a 6-cylinder in-line diesel engine, in order to investigate the effect of geartrain dynamics on camshaft torsional vibrations and also on the dynamic response of the valvetrain.
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Citation
Rodriguez, J., Keribar, R., and Fialek, G., "A Geartrain Model With Dynamic or Quasi-Static Formulation for Variable Mesh Stiffness," SAE Technical Paper 2005-01-1649, 2005, https://doi.org/10.4271/2005-01-1649.Also In
References
- Lin J. Parker R. G. 2002 Journal of Vibrations and Acoustics 124 68 76 Mesh stiffness variation instabilities in two-stage gear systems
- Huang K. J. Liu T. S. 2000 Journal of Sound and Vibration 234 311 329 Dynamic analysis of a spur gear by the dynamic stiffness method
- Ozguven H. N. 1991 Journal of Sound and Vibration 145 239 260 A non-linear mathematical model for dynamic analysis of spur gears including shaft and bearing dynamics
- Sfakiotakis V. G. Vaitsis J. P. Anifantis N. K. 2001 Computers and Structures 79 1153 1160 Numerical simulation of conjugate spur gear action
- Parker R. G. Vijayakar S. M. Imajo T. 2000 Journal of Sound and Vibration 237 435 455 Non-linear dynamic response of a spur gear pair: Modeling and experimental comparisons
- Ozguven H. N. Houser D. R. 1988 Journal of Sound and Vibration 121 383 411 Mathematical models used in gear dynamics-A review
- Pfeiffer F. Glocker C. 1996 Multi-body dynamics with unilateral contacts John Wiley & Sons New York
- Eckhardt H. D. 1998 Kinematic design of machines and mechanisms McGraw-Hill New York
- Shigley J. E. 1961 Theory of machines McGraw- Hill New York