Load Tooth Contact Analysis of Composite Cycloidal Planetary Transmission with Small Tooth Difference

2023 IEEE 12th Data Driven Control and Learning Systems Conference (DDCLS) Pub Date : 2023-05-12 DOI:10.1109/DDCLS58216.2023.10166206

S. Zhou, Zhenhua Han, Yunchen Zhou, Yunda Zhao, Hao Wang, Youwu Du

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Abstract

Based on the profile equation of composite cycloidal tooth, the coordinate system of the contact analysis model of composite cycloidal gear teeth is established. Depending on the conjugate contact conditions of gears, the vector equation of tooth contact analysis (TCA) is created. The backlash and transmission error of the composite cycloidal planetary gear pair with small tooth difference (Abbreviated as composite cycloidal gear pair) after modification are calculated by solving the equation. The loaded tooth contact analysis (LTCA) model of the composite cycloid is built using Hertzian contact theory, a moment balancing equation, and deformation compatibility condition. The composite cycloidal transmission error and contact force in the load tooth contact analysis mode are solved. The distribution of contact force under different crank shaft angles and the sensitivity of bearing transmission error and contact force to tooth profile adjustment coefficient are analyzed with examples. The results show that the transmission accuracy of composite cycloid gears under load conditions is within 1 arcmin, which meets the requirements for precision transmission performance.

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小齿差复合摆线行星传动载荷齿接触分析

基于复合摆线齿轮齿廓方程，建立了复合摆线齿轮齿接触分析模型的坐标系。根据齿轮的共轭接触条件，建立了齿轮接触分析的矢量方程。通过求解方程，计算了修正后小齿差复合摆线行星齿轮副(简称复合摆线齿轮副)的齿隙和传动误差。利用赫兹接触理论、力矩平衡方程和变形协调条件，建立了复合摆线的加载齿接触分析模型。求解了负载齿接触分析模式下的复合摆线传动误差和接触力。通过算例分析了不同曲轴角度下接触力的分布，以及轴承传动误差和接触力对齿形调整系数的敏感性。结果表明，复合摆线齿轮在载荷工况下的传动精度在1弧分以内，满足精密传动性能要求。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

2023 IEEE 12th Data Driven Control and Learning Systems Conference (DDCLS)

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