中文摘要：

基于局部综合法、双层优化法以及碟形砂轮展成磨削原理,提出面齿轮齿面的主动设计方法。通过砂轮齿廓修形参数的优化获得预设幅值和形状对称的传动误差函数;通过对砂轮的多轴数控运动控制获得预期的齿向修形模式。研究结果表明：该方法使设计人员能够按照要求的传动性能来设计面齿轮齿面的形状,并可在数控磨齿机上进行加工;齿面主动设计能保证面齿轮副的传动误差和接触路径满足预先设计的要求。

英文摘要：

A function-oriented design method for face gear tooth surface was proposed based on local synthesis method, double-optimization method and the disk wheel generating grinding principle. A predesigned symmetrical parabolic function of transmission errors with given amplitude was obtained by optimization of modification parameters for the grinding wheel tooth profile, and a desired modification mode in longitudinal direction was obtained by controlling computer numerical control （CNC） multi-axis motions. The results show that this method enables designers to design the tooth surface of the face gear according to performance requirements, and to finish processing of face gears on a CNC grinding machine. The function-oriented design method can make the transmission errors and tooth contact paths satisfy the design requirements.