中文摘要：

根据弧齿锥齿轮切齿加工原理,建立弧齿锥齿轮的齿面方程。并利用空间几何原理,将大小轮齿面方程放在同一个坐标系中进行啮合点计算得到啮合点在齿面上的位置分布。利用微分几何原理求得大小轮齿面啮合点处的法曲率和齿面卷吸速度等弹流润滑重要参数。用MATLAB软件编程计算,并用PRO/E三维软件建立几何模型。采用ABAQUS有限元分析软件,数值计算啮合过程中的油膜压力。基于Dowson-Higginson最小油膜厚度模型计算得到了光滑齿面不同啮合速度条件下弧齿锥齿轮啮合过程最小油膜厚度。

英文摘要：

According to the cutting principle of spiral bevel gear,the tooth surface equation of spiral bevel gear is established. Put the equation of two contact gear faces in the same coordinate system,the positions of contact points could be obtained according to the space geometry theory. The principle curvatures of the contact points and the tooth surface relative velocity could be got using differential geometry theory. The geometric model is established by using MATLAB program and PRO / E. Using ABAQUS,the normal contact force could be got by the simulation results. Based on Dowson-Higginson equation,this article calculated and analyzed the minimum film thickness in the condition of different meshing velocity and discussed the most dangerous area during meshing process according to the minimum film thickness of spiral bevel gear.