中文摘要：

为了能够全面掌握齿面接触质量及便于接触区调整，基于摆线齿锥齿轮刀倾全展成加工方法，对齿面任意预定位置啮合接触分析进行了研究。分析了切齿加工运动，根据刀盘、摇台与工件之间的相互位置和运动关系，建立了刀倾法切齿加工数学模型，推导出理论齿面方程。建立了含轴向位置变量的齿面滚检数学模型，推导出啮合接触分析简化算法，给出了接触椭圆求解方法，在此基础上给出了齿面预定位置啮合分析计算流程。最后以一对摆线齿锥齿轮副为例进行了齿面不同预定位置的啮合分析，仿真结果与滚检结果一致，验证了啮合接触分析算法的有效性。

英文摘要：

In order to obtain tooth contact quality and adjust the contact area, the tooth contact analysis based on predetermined position was studied based on generation method with tilt of prolate epicycloid bevel gears. The cutting movement was analyzed, and the cutting mathematical model with tilt was established according to the relative position and motion among cutter, cradle and workpiece, and the theoretical tooth surface equation was derived. The tooth testing model with axis position variable was established, the simplified tooth contact analysis algorithm was derived, the solved method about contact ellipse was given, and the solved process about tooth contact analysis based on predetermined position was provided. Finally, a pair of prolate epicycloid bevel gears was analyzed on different predetermined position, and the result shows that the simulation results are in accordance with the testing results, and the effectiveness of tooth contact analysis algorithm is verified.