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During the operation of herringbone gear systems, dynamic instabilities may occur due to specific conditions such as gear disengagement and back-side meshing (BSM). A detailed representation of multi-state meshing (MSM) behavior is crucial for improving structural design and analyzing system performance. This study develops a nonlinear dynamic model for herringbone gears, incorporating MSM while addressing key factors like gear backlash and friction. By conducting a comprehensive analysis, the MSM patterns are identified, and the dynamic stability rate (DSR) is evaluated using multiple Poincaré mappings. The work further explores various bifurcation diagrams, phase trajectories, and the correlation between MSM dynamics and DSR. The results indicate that as meshing frequency increases, the system's MSM behavior and motion patterns first become more complex before eventually simplifying.

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Analysis of Multi-state Meshing and Dynamic Stability of Herringbone Gears Based on Nonlinear Dynamics

  • 会议论文

  • 发表日期：

    2026年

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  • Zongxiang Yue,
  • Zengcheng Wang,
  • Zhaobo Chen,
  • Jianjun Qu,
  • Guangbin Yu,
  • Lushchyk Pavel

摘要

During the operation of herringbone gear systems, dynamic instabilities may occur due to specific conditions such as gear disengagement and back-side meshing (BSM). A detailed representation of multi-state meshing (MSM) behavior is crucial for improving structural design and analyzing system performance. This study develops a nonlinear dynamic model for herringbone gears, incorporating MSM while addressing key factors like gear backlash and friction. By conducting a comprehensive analysis, the MSM patterns are identified, and the dynamic stability rate (DSR) is evaluated using multiple Poincaré mappings. The work further explores various bifurcation diagrams, phase trajectories, and the correlation between MSM dynamics and DSR. The results indicate that as meshing frequency increases, the system's MSM behavior and motion patterns first become more complex before eventually simplifying.