中文摘要：

为了解决传统的双齿面成形磨削斜齿轮“修形扭曲”现象，提出一种基于调整砂轮姿态的修形齿轮成形磨削刀路规划方法。从成形磨削的本质出发，对斜齿轮的齿向修形齿面进行了数学建模分析，求解并得到砂轮与工件之间的瞬时接触曲线；由砂轮廓形的逆包络法包络出修形齿面，对瞬时接触线包络出的修形齿面与理论齿面进行误差分析，讨论了砂轮姿态与修形误差之间的关系，得到调整砂轮安装偏转角可减小修形误差的结论，同时，配合对砂轮刀具路径的规划，基于修形齿面最小误差平方和法对砂轮姿态和刀具路径进行了优化；通过计算实例对该方法进行了验证，仿真结果表明，此方法可有效地消除节圆处的修形误差，并可进一步降低啮合区域的修形误差。

英文摘要：

When the lead modification with double-flank grinding was performed on a helical gear by a form grinding method, the phenomenon of twist in corrected flanks caused a modified error. To reduce the errors, a tool path planning method was proposed for lead modification of form grinding based on adjusting wheel configuration. The dynamic simultaneous contact line was solved according to the essence of form grinding, and the corrected tooth flanks were enveloped by the revolved wheel profile. Compared the cor- rected tooth flanks with the theoretical tooth flanks, the error model was obtained. Adjusting the wheel set- ting angle could reduce the modified errors by analyzing the relation between wheel configuration and modified errors. Consequently, the method was proposed for tool path and wheel configuration optimization with the least sum of squared errors in engaging region. A simulation example showed that the method could eliminate the modified errors in pitch circle and reduce the errors in meshing region.