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<p>This study proposes a novel predictive transmission accuracy model for RV reducers, integrating geometric errors and tooth wear effects through a methodology combining Archard’s wear theory with a 20-degree-of-freedom quasi-static formulation. The approach employs mass-spring equivalence to decompose component misalignments into equivalent spring deformations, while tooth contact analysis and loaded tooth contact analysis dynamically resolve time-varying contact forces, sliding distances, and pressure-dependent wear coefficients. Critical factors including tooth profile modifications, eccentricity errors, and wear-induced geometric deviations are incorporated through iterative geometry recalibration. Analytical procedures quantify manufacturing error propagation paths and wear progression in cycloid-pin gear pairs using discretized surface meshing and adaptive threshold-based parameter updates. Validation methodologies encompass RecurDyn dynamic simulations for force distribution verification and experimental prototype testing for transmission error precision measurement. Results demonstrate that the model effectively captures error sensitivity dominance in cycloid transmission stages and wear-induced accuracy deterioration mechanisms, providing a foundational framework for precision design optimization of RV reducers under coupled error-wear interactions.</p>

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Predictive transmission accuracy modeling of RV reducers under geometric errors and wear effects

  • 期刊论文

  • 发表日期：

    2026年5月8日

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  • Defeng Chen,
  • Xuan Li,
  • Gaocheng Qian,
  • Jiaqing Huang,
  • Yawen Wang,
  • Lining Sun

摘要

This study proposes a novel predictive transmission accuracy model for RV reducers, integrating geometric errors and tooth wear effects through a methodology combining Archard’s wear theory with a 20-degree-of-freedom quasi-static formulation. The approach employs mass-spring equivalence to decompose component misalignments into equivalent spring deformations, while tooth contact analysis and loaded tooth contact analysis dynamically resolve time-varying contact forces, sliding distances, and pressure-dependent wear coefficients. Critical factors including tooth profile modifications, eccentricity errors, and wear-induced geometric deviations are incorporated through iterative geometry recalibration. Analytical procedures quantify manufacturing error propagation paths and wear progression in cycloid-pin gear pairs using discretized surface meshing and adaptive threshold-based parameter updates. Validation methodologies encompass RecurDyn dynamic simulations for force distribution verification and experimental prototype testing for transmission error precision measurement. Results demonstrate that the model effectively captures error sensitivity dominance in cycloid transmission stages and wear-induced accuracy deterioration mechanisms, providing a foundational framework for precision design optimization of RV reducers under coupled error-wear interactions.