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Nonlinear Dynamic Modeling of 3-DOF Gear System with Tooth Contact Temperature

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Advances in Mechanical Design (ICMD 2017)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 55))

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Abstract

A nonlinear dynamic model of a 3-DOF gear system is established to study the influence of the tooth contact temperature in the meshing surface on the dynamics in the system. The nonlinear factors such as the tooth contact temperature, the time-varying stiffness, the meshing friction, the comprehension transmission error and backlash are considered. The flash temperature of tooth surface of pinion and gear is formulated according to Blok’s flash temperature theory. The mathematical expression of tooth surface contact temperature varied with time is derived. The temperature stiffness is put forward and added to the nonlinear dynamic model. The expression of the mesh stiffness varied with the flash temperature of the tooth surface is derived based on Hertz contact theory. The dynamical characteristics of the system such as chaos, doubling bifurcation and Hopf bifurcation are analyzed.

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Acknowledgements

This project is supported by National Natural Science Foundation of China (Grant No. 51365025), and Tianjin Natural Science Key Foundation of China (Grant No. 16JCZDJC38500).

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Authors and Affiliations

  1. School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, 300387, China

    Jianfei Shi, Xiangfeng Gou & Lingyun Zhu

  2. Tianjin Key Laboratory of Advanced Mechatronics Equipment Technology, Tianjin, 300387, China

    Jianfei Shi, Xiangfeng Gou & Lingyun Zhu

  3. School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, China

    Xiangfeng Gou, Lingyun Zhu & Changjun Qi

Authors
  1. Jianfei Shi
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  2. Xiangfeng Gou
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  3. Lingyun Zhu
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  4. Changjun Qi
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Corresponding author

Correspondence to Xiangfeng Gou .

Editor information

Editors and Affiliations

  1. Zhejiang University, Hangzhou, China

    Jianrong Tan

  2. Shanghai Jiao Tong University , Shanghai, China

    Feng Gao

  3. Beijing Institution of Technology, Beijing, China

    Changle Xiang

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Shi, J., Gou, X., Zhu, L., Qi, C. (2018). Nonlinear Dynamic Modeling of 3-DOF Gear System with Tooth Contact Temperature. In: Tan, J., Gao, F., Xiang, C. (eds) Advances in Mechanical Design. ICMD 2017. Mechanisms and Machine Science, vol 55. Springer, Singapore. https://doi.org/10.1007/978-981-10-6553-8_14

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  • DOI: https://doi.org/10.1007/978-981-10-6553-8_14

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6552-1

  • Online ISBN: 978-981-10-6553-8

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