Abstract
In this paper, a torsional-translational coupled nonlinear dynamic model for planetary gear train with three planet gears is developed to investigate its vibration characteristic. In this lumped-parameter model, gears and carrier all have three degrees of freedom: two translations and one rotation. The equations of motion of the dynamic model are built in consideration of gear elastic deformation and time-varying mesh stiffness. Gear elastic compatibility equations are developed to describe the relationship between displacements, elastic deformations and transmission errors. Thus, dynamic equations of the planetary gear train consist of equations of motion and gear elastic compatibility equations can be found and the effects of support stiffness and flexible planet pin on vibration characteristic have been addressed. The results show floating central gear and flexible planet pin can avoid critical operating conditions, which provides a theoretical guideline for the design of planetary gear train.
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References
Parker, R.-G., Vijayakar, S.-M., Imajo, T.: Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons. J. Sound Vib. 237(3), 435–455 (2000)
Kahraman, A.: Planetary gear train dynamics. J. Mech. Des. 116(3), 713–720 (1994)
Detinko, F.-M.: Free vibration of a thick ring on multiple supports. Int. J. Eng. Sci. 27(11), 1429–1438 (1989)
Singh, A.: Epicyclic load sharing map-development and validation. Mech. Mach. Theory 46(5), 632–646 (2011)
Frater, J., August, R., Oswald, F.-B.: Vibration in planetary gear systems with unequal planet stiffness. NASA (TM-83428) (1982)
Guo, X., Velex, P.: On the dynamic simulation of eccentricity errors in planetary gears. Mech. Mach. Theory 61, 14–29 (2013)
August, R., Kasuba, R.: Torsional vibrations and dynamic loads in a basic planetary gear system. J. Vib. Acoust. 108(3), 348–353 (1986)
Zhang, D., Wang, S.: Parametric vibration of split gears induced by time-varying mesh stiffness. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 229(1), 18–25 (2014)
Kahraman, A.: Natural modes of planetary gear trains. J. Sound Vib. 173(1), 125–130 (1994)
Li, Y., Sun, W.: Study on the improved algorithm of the time-varying meshing stiffness of gear. J. Mech. Transm. 33(5), 22–26 (2010)
Acknowledgments
The authors want to acknowledge the financial support from National Natural Science Foundation of China (No. 51375065), Liaoning Provincial Science and Technology Innovation major projects (No. 201303004-1).
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Dong, H., Zhang, K., Wang, D., Wu, Y., Bai, S. (2015). Dynamic Modeling of Planetary Gear Train for Vibration Characteristic Analysis. In: Corves, B., Lovasz, EC., Hüsing, M. (eds) Mechanisms, Transmissions and Applications. Mechanisms and Machine Science, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-319-17067-1_20
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DOI: https://doi.org/10.1007/978-3-319-17067-1_20
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