基于包络法的正交面齿轮齿廓几何设计和根切研究

正交面齿轮传动具有诸多优点，为了实现正交面齿轮的加工，通过包络法对正交面齿轮齿廓几何设计方法和根切条件进行研究。建立了正交面齿轮的包络坐标系，给出了产形面和其齿角方程，推导了面齿轮齿廓和过渡曲面方程，利用MATLAB程序对面齿轮齿廓几何设计进行仿真；分析了面齿轮根切现象，得出根切条件，通过对根切条件的数值计算获得根切参数表并且利用最小二乘法对参数表进行统计分析，得到面齿轮根切几何条件的工程近似方程；最后通过面齿轮加工实验，验证了上述理论计算和工程近似方程的可行性。

Research on Theoretical Surface of Face Gear Tooth and Undercut of Face Gear by Enveloping Method

Face-gear drive has more strongpoints. In order to produce face-gear drive, a face-gear drive with spur involute pinion is considered. The generation of the face gear is based on the enveloping method. The equations of the theoretic geometrical tooth surface and the transitional surface of face gear are deduced. The phenomenon of the undercut of face gear is analyzed. According to the analysis, the datum of the undercut is concluded and the engineering equation of the undercut is gained. In the end, the feasibility of the theoretic results is received by the experiment of the face gear.