中文摘要：

为了掌握平面齿内齿轮一次包络鼓形蜗杆传动副的齿面真实啮合状况，对其进行误差分析。建立含误差的传动副啮合几何学理论，构建传动副的三维精确实体模型，研究理想状态下传动副的齿面啮合情况，并重点分析中心距及倾角等各项误差值对传动副真实啮合状态的影响规律。研究结果表明：传动副在理想状态下有5对齿同时啮合，瞬时接触线为直线且沿齿高方向平行分布；中心距误差和蜗杆轴向位移误差为负值时比其为正值时对传动副有利；轴间角误差、倾角误差及基圆半径误差对平面齿内齿轮一次包络鼓形蜗杆传动副啮合状况的影响较大。

英文摘要：

In order to grasp the actually meshing of planar internal gear single-enveloping crown worm drive, the errors analysis is developed. Base on the gear meshing theory, the meshing geometry with errors of this worm drive is established, and the accurate 3D model is constructed. The tooth surface meshing status of this worm drive under the ideal conditions are studied, and the actually meshing status of this worm drive with the centre distance error and inclination angle error are studied. The results show that： there are five pairs tooth surface are contemporary meshing, and the contact lines are straight line, as well as the contact lines are average distributed and along the tooth height; the negative values of centre distance error and worm axial displacement error are better than the true values of those; the shaft angle error, the inclination angle error and the base circle radius error are seriously affect the actual meshing status of the planar internal gear single-enveloping crown worm drive.