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| RV减速器传动误差的多因素分析 |
| Multi-Factor Analysis of Transmission Error in RV Reducers |
| 投稿时间：2026-02-03 修订日期：2026-03-11 |
| DOI： |
| 中文关键词: RV减速器 传动误差 误差耦合 灵敏度分析 蒙特卡洛法 |
| 英文关键词: RV reducer transmission error error coupling sensitivity analysis Monte Carlo method |
| 基金项目:国家自然科学基金项目（51905001），安徽未来技术研究院企业合作项目（2023qyhz22），安徽工程大学校级项目（Xjky2022012），安徽省中青年教师培养行动项目 |
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| 中文摘要: |
| 为了提高RV减速器的传动精度和指导其公差的设计，本文提出了一种仿真与统计分析的误差综合研究的方法。该方法最初构建了RV减速器的参数化基准模型，然后系统的分析了针齿销孔轴向位置偏差、针齿分布圆半径偏差以及针齿半径偏差这三类独立误差对传动精度的影响规律。再在此基础上将误差进行耦合，通过数据拟合构建了耦合误差与传动误差的定量关系模型，并采用留一法交叉验证评估了响应面模型的预测能力。最终采用蒙特卡洛法对三种误差进行随机抽样仿真与灵敏度分析，量化了各误差源对传动精度的贡献度，并基于响应面模型的方差分解评估了误差交互作用的影响。研究结果表明，在所述的误差中针齿分布圆半径误差对传动误差的灵敏度最高，是影响传动精度的最关键因素；其与针齿销孔轴向位置偏差的交互作用对方差的贡献约为8%。结合仿真结果，本文给出了针对不同误差源的公差建议。本研究为RV减速器的精度设计与制造公差分配提供了理论依据。 |
| 英文摘要: |
| In order to improve the transmission accuracy of RV reducers and guide their tolerance design, this paper proposes a comprehensive error research method integrating simulation and statistical analysis. Initially, a parametric baseline model of the RV reducer was constructed. Then, the influence patterns of three independent errors—axial position deviation of the pin hole, distribution circle radius deviation of the pins, and radius deviation of the pins—on transmission accuracy were systematically analyzed.Building on this, the errors were coupled, and a quantitative relationship model between the coupled errors and the transmission error was established through data fitting. The predictive capability of the response surface model was then evaluated using leave-one-out cross-validation.Finally, Monte Carlo simulation with random sampling and sensitivity analysis were applied to the three types of errors to quantify the contribution of each error source to transmission accuracy, and the effect of error interactions was assessed based on variance decomposition of the response surface model. The results show that, among the mentioned errors, the pin distribution circle radius error has the highest sensitivity to the transmission error and is the most critical factor affecting transmission accuracy. Its interaction with the axial position deviation of the pin hole contributes approximately 8% to the variance. Based on the simulation results, this paper provides tolerance recommendations for different error sources. This study provides a theoretical basis for the precision design and manufacturing tolerance allocation of RV reducers. |
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