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Dynamic modeling and vibration analysis of herringbone gear system with uncertain parameters

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Abstract

There are inevitably all kinds of uncertainties in the gear transmission system. These uncertainties will have an important impact on the vibration response of the system. In this paper, the vibration response characteristics of herringbone gear transmission system with uncertain parameters are investigated. A six-degree-of-freedom dynamic model of single-stage herringbone gear-shaft-bearing system is established based on the finite element method. The stochastic agent model of the system is constructed by polynomial chaotic expansion (PCE), and the effects of gear meshing stiffness, bearing stiffness and damping parameters uncertainty on the vibration response of the system are analyzed. The results show that the uncertainty of gear meshing stiffness leads to the offset of the boundary value of the vibration amplitude of the system, and the uncertainty of bearing damping mainly affects the vibration amplitude of the main resonance region of the system. The uncertainty of bearing stiffness has little effect on the vibration amplitude of the system. And the hybrid uncertainty has comprehensive effect on the vibration amplitude of the system.

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Acknowledgements

This work was supported by the National Key Research and Development Program of China (2020YFB2008101) and the National Natural Science Foundation of China (12072106 and 52005156).

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Authors and Affiliations

  1. Zheng Zhou Research Institute of Mechanical Engineering CO., LTD, Zhengzhou, 450001, China

    Luji Wu, Wei Feng, Linjie Yang & Shihao Yang

  2. School of Mechanical Engineering, Tongji University, Shanghai, 200092, China

    Luji Wu

  3. School of Electromechanical Engineering, Henan University of Technology, Zhengzhou, 450001, China

    Wei Feng, Huaiwen Yang & Baoguo Liu

Authors
  1. Luji Wu
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  2. Wei Feng
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  3. Linjie Yang
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  4. Huaiwen Yang
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  5. Shihao Yang
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  6. Baoguo Liu
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Correspondence to Wei Feng.

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Wu, L., Feng, W., Yang, L. et al. Dynamic modeling and vibration analysis of herringbone gear system with uncertain parameters. Arch Appl Mech 94, 221–237 (2024). https://doi.org/10.1007/s00419-023-02517-x

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  • DOI: https://doi.org/10.1007/s00419-023-02517-x

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