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<p>Helical gear wear-induced variations in time-varying mesh stiffness (TVMS), friction coefficients, and transmission error constitute a major failure mechanism in gear systems. A computational method based on the modified Archard equation is proposed to quantify tooth surface wear. The post-wear TVMS is derived from wear evolution, and a revised mesh stiffness model incorporating tooth profile errors is introduced to compute updated TVMS, load-sharing factor (LSF), and transmission error. A friction coefficient model accounting for varying radii of curvature along the contact line is established. By iteratively updating LSF, wear-friction coupling is achieved. Dynamic analysis of a helical gear–rotor–bearing system incorporating friction reveals wear-friction interactions and superharmonic resonance under multi-scale method. Results show that increased wear significantly reduces TVMS, elevates LSF near its maximum, amplifies transmission error, and increases local friction. Vibration velocity rises, while RMS and kurtosis of displacement markedly increase, indicating altered system dynamics.</p>

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Development and application of a wear-friction coupling model for evaluating dynamic response in helical gears

  • 期刊论文

  • 发表日期：

    2026年2月25日

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  • Shuai Mo,
  • Shunfang Dong,
  • Da Gao,
  • Bowei Yao,
  • Xingjia Man,
  • Lianbo Yang,
  • Sujiao Chen,
  • Wanliang Hu,
  • Dakun Zhou,
  • Nanjiang Peng,
  • Haruo Houjoh,
  • Wei Zhang

摘要

Helical gear wear-induced variations in time-varying mesh stiffness (TVMS), friction coefficients, and transmission error constitute a major failure mechanism in gear systems. A computational method based on the modified Archard equation is proposed to quantify tooth surface wear. The post-wear TVMS is derived from wear evolution, and a revised mesh stiffness model incorporating tooth profile errors is introduced to compute updated TVMS, load-sharing factor (LSF), and transmission error. A friction coefficient model accounting for varying radii of curvature along the contact line is established. By iteratively updating LSF, wear-friction coupling is achieved. Dynamic analysis of a helical gear–rotor–bearing system incorporating friction reveals wear-friction interactions and superharmonic resonance under multi-scale method. Results show that increased wear significantly reduces TVMS, elevates LSF near its maximum, amplifies transmission error, and increases local friction. Vibration velocity rises, while RMS and kurtosis of displacement markedly increase, indicating altered system dynamics.