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<p>This paper investigates the dynamic behavior of spur gear systems by developing integrated models for dynamic mesh stiffness and time-varying bearing stiffness, addressing limitations in conventional static approaches. A novel analytical model for dynamic mesh stiffness is proposed using the modal superposition method, which accounts for rotational speed effects by solving gear tooth vibration equations under moving mesh forces, yielding dynamic displacements and stiffness fluctuations. Concurrently, a time-varying bearing stiffness model incorporates gear vibration displacement to capture parametric excitation from rolling element interactions. These models are integrated into a 6-degree-of-freedom nonlinear dynamic framework, incorporating sliding friction, time-varying center distance, and backlash effects. Results reveal that dynamic mesh stiffness fluctuates around static values and its fluctuation amplitude increases with driving speed, intensifying dynamic mesh force and transmission error responses. The introduction of dynamic meshing stiffness and time-varying bearing stiffness significantly influences the dynamic characteristics of gear systems, thereby enhancing the accuracy of the dynamic model. Parametric studies highlight the sensitivity of vibration amplitudes to rolling element count and bearing clearance, providing design insights for vibration suppression. This research enhances gear dynamics prediction accuracy and supports transmission system optimization under dynamic operation.</p>

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Dynamic analysis of gear systems with dynamic mesh stiffness and time-varying bearing stiffness

  • 期刊论文

  • 发表日期：

    2025年7月30日

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  • Lili Zhang,
  • Dayi Qu,
  • Hanjun Jiang,
  • Fuhao Liu,
  • Meng Rao,
  • Chao Ye,
  • Baogang Li,
  • Hao Wu,
  • Delong Shao

摘要

This paper investigates the dynamic behavior of spur gear systems by developing integrated models for dynamic mesh stiffness and time-varying bearing stiffness, addressing limitations in conventional static approaches. A novel analytical model for dynamic mesh stiffness is proposed using the modal superposition method, which accounts for rotational speed effects by solving gear tooth vibration equations under moving mesh forces, yielding dynamic displacements and stiffness fluctuations. Concurrently, a time-varying bearing stiffness model incorporates gear vibration displacement to capture parametric excitation from rolling element interactions. These models are integrated into a 6-degree-of-freedom nonlinear dynamic framework, incorporating sliding friction, time-varying center distance, and backlash effects. Results reveal that dynamic mesh stiffness fluctuates around static values and its fluctuation amplitude increases with driving speed, intensifying dynamic mesh force and transmission error responses. The introduction of dynamic meshing stiffness and time-varying bearing stiffness significantly influences the dynamic characteristics of gear systems, thereby enhancing the accuracy of the dynamic model. Parametric studies highlight the sensitivity of vibration amplitudes to rolling element count and bearing clearance, providing design insights for vibration suppression. This research enhances gear dynamics prediction accuracy and supports transmission system optimization under dynamic operation.