含蜗杆砂轮安装误差的面齿轮副齿面接触分析

Tooth Surface Contact Analysis of the Face Gear Pair Involving the Worm Wheel Installation Error

基于一种五轴联动数控磨削机床,建立考虑蜗杆砂轮安装误差的真实齿面方程,研究含误差的真实面齿轮齿面和小齿轮齿面轮齿接触分析(TCA分析),得到面齿轮副齿面接触点轨迹求解方法,TCA分析表明:1切向线性位置误差和轴向线性位置误差会导致齿面沿齿宽和齿高方向发生偏移,而接触点轨迹在齿长方向出现较大偏移。2偏摆角误差导致齿面沿齿长方向发生倾斜,而接触点轨迹沿齿长方向出现较大偏移和倾斜;俯仰角误差会导致齿面沿齿高方向发生旋转,接触点轨迹也同时出现旋转。3面齿轮副齿面接触点轨迹对4项砂轮安装误差都较为敏感。研究为面齿轮设计和制造中的误差溯源以及真实齿面接触分析提供理论参考。

The actual tooth surface equation is established considering the worm wheel installation errors based on a five- axis linked CNC grinding machine. The tooth contact analysis（ TCA analysis） on the actual tooth surface of face gear and pinion tooth surface is investigated,and the solving method of contact point path of the face gear pair is obtained. The TCA analysis indicates that the tangential and axial linear position errors can cause deviation of the tooth surface along the tooth width and tooth height directions,also the contact point path has a larger deviation along the tooth length direction. The yaw angle errors can cause the tooth surface to incline along the tooth length direction,and there exists a bigger deviation as well as inclination along the tooth length direction. The pitch angle errors will cause the tooth surface to rotate along the tooth height direction,and the contact point path will rotate at the same time. The contact point path of face gear pair is much more sensitive to the four kinds of worm wheel installation errors. A theoretical reference for the error tracing in the face gear designing and manufacturing and the real tooth surface contact analysis is provided by the research.