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Dynamic modeling and analysis of spur gears considering friction–vibration interactions

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Abstract

Sliding friction is a non-negligible excitation source in gear vibration. The instantaneous vibratory velocity affects the relative sliding velocity of the mesh tooth, resulting in a change of the friction force, that may increase gear vibration. This paper aims to present focuses on studying the dynamic responses of spur gears with considering friction–vibration interactions. First, the angular position-dependent time-varying mesh stiffness function was established based on the torsional vibration motion of the pinion. Second, the sliding friction forces are calculated by considering the torsional and translational vibration motions of the gear system. Third, a six-degree-of-freedom analytical spur gear pair model is developed by incorporating the time-varying mesh stiffness and sliding friction. Finally, the dynamic responses for spur gears with sliding friction considering the effect of vibration are illustrated by comparing the simulation results from three models. The results indicate that it is very necessary to consider the effects of vibration on the sliding friction for gear dynamic responses.

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Acknowledgements

The authors are grateful for the financial support from National Natural Science Foundation of China (Grant nos. 51605412 and 51305378), Jiangsu Provincial Key Laboratory of Automotive Engineering (QC201306), and the help from Research Laboratory of Mechanical Vibration (MVRLAB).

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Authors and Affiliations

  1. College of Automobile Engineering, Yancheng Institute of Technology, Yancheng, China

    Hanjun Jiang & Fuhao Liu

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  1. Hanjun Jiang
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  2. Fuhao Liu
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Correspondence to Hanjun Jiang.

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Technical Editor: Kátia Lucchesi Cavalca Dedini.

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Jiang, H., Liu, F. Dynamic modeling and analysis of spur gears considering friction–vibration interactions. J Braz. Soc. Mech. Sci. Eng. 39, 4911–4920 (2017). https://doi.org/10.1007/s40430-017-0883-9

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  • DOI: https://doi.org/10.1007/s40430-017-0883-9

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