基于切齿高阶运动的螺旋锥齿轮齿面修缘方法

提出了一种利用机床柔性使用常规直刃刀具进行螺旋锥齿轮修缘的方法。根据不同刀具建立了螺旋锥齿轮修缘齿面的求解方程，并以此建立了螺旋锥齿轮啮合分析有限元模型分析对比了不同刀具修形对应修缘齿面的传动性能。根据对比结果选取圆弧刃刀具作为切齿高阶运动齿面修缘的优化目标，在齿面方程引入高阶运动系数并建立了基于高阶切齿运动的修缘齿面逼近优化计算模型，求解获得新的切齿调整参数得到近似修缘齿面。采用有限元分析和滚动检查实验对优化获得的修缘齿面和未修缘齿面进行了传动性能验证，其结果表明:切齿高阶运动逼近的修缘齿面啮合时的1阶振动幅值减小约16.6%，可以有效提高齿轮副的传动性能。 

Tooth surface relief method of spiral bevel gear based on high-order cutting motion

A method of approximate tooth surface relief in use of standard cutting tool was proposed with the advantage of machine flexibility. The tooth surface equation was established according to different types of modified cutting tool, the relived tooth surface was solved and the meshing FEA model was established. According to the gear meshing simulation of the FEA method, the transmission performances of different relived tooth surfaces were compared, and the arc-edged cutting tool was chosen as the optimization target according to the result. The higher order cutting motion was introduced, and the optimization model of tooth surface approaching was established according to the optimization target. The transmission performances of optimal tooth surface and unrelieved tooth surface were compared. Results showed that the first-order vibration amplitude decreased approximately 16.6% when optimal tooth surface was meshed, and the gear transmission performance was effectively improved.