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<p>The back-side mesh may occur when the planetary gear operates in the light load condition or idling condition. Thus, it is necessary to determine the back-side mesh stiffness of the internal mesh and external mesh in the planetary gear system which can affect its dynamic responses. Currently, there is no method available for studying the back-side mesh stiffness of internal gear pairs. To address this issue, a&#xa0;mathematical model is established to determine the mesh stiffness of external and internal gear pairs with addendum modification by taking into account real mesh states, including back-side and drive-side mesh. Meanwhile, due to the coupling effects between dynamic mesh force and gear mesh stiffness, an iterative algorithm is introduced to calculate the dynamic response of a&#xa0;planetary gear system with the dynamic mesh state induced by the amplitude relationship changes between dynamic transmission error and backlash. The simulation results demonstrate that the effect of dynamic mesh states on the dynamic responses of planetary gears is substantial, particularly under the light load and high addendum modification conditions. This study can provide a&#xa0;theoretical reference for analyzing the nonlinear dynamic phenomenon induced by the reverse collision of the planetary gear.</p>

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Dynamic modeling of planetary gears considering the dynamic mesh states and addendum modification

  • 期刊论文

  • 发表日期：

    2025年7月17日

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  • Zhiliang Xu,
  • Wennian Yu,
  • Huachao Xu

摘要

The back-side mesh may occur when the planetary gear operates in the light load condition or idling condition. Thus, it is necessary to determine the back-side mesh stiffness of the internal mesh and external mesh in the planetary gear system which can affect its dynamic responses. Currently, there is no method available for studying the back-side mesh stiffness of internal gear pairs. To address this issue, a mathematical model is established to determine the mesh stiffness of external and internal gear pairs with addendum modification by taking into account real mesh states, including back-side and drive-side mesh. Meanwhile, due to the coupling effects between dynamic mesh force and gear mesh stiffness, an iterative algorithm is introduced to calculate the dynamic response of a planetary gear system with the dynamic mesh state induced by the amplitude relationship changes between dynamic transmission error and backlash. The simulation results demonstrate that the effect of dynamic mesh states on the dynamic responses of planetary gears is substantial, particularly under the light load and high addendum modification conditions. This study can provide a theoretical reference for analyzing the nonlinear dynamic phenomenon induced by the reverse collision of the planetary gear.