渐开线直齿轮啮合接触计算与分析

Calculation and Analysis of Meshing Contact of Involute Spur Gear

渐开线齿轮的啮合过程分析是判断传动品质的重要依据,其中,接触应力、传动误差及啮合刚度是分析的重点。根据直齿轮TCA模型,提取各接触点曲率半径,将齿面啮合接触简化为不同半径圆柱体对之间的弹性挤压。在考虑齿间载荷分配的情况下,运用Hertz原理对齿面进行了承载接触分析。分析表明,通过该方法得到的结果与有限元及实验所得结果相符,接触应力最大值相差0.74%,传动误差及啮合刚度规律一致。该方法可反映齿面接触的动态过程及啮合刚度。

The analysis of meshing process of involute spur gear is an important basis to judge the transmission quality,and especially contact stress,transmission error and meshing stiffness are key indexes.According to the TCA model of spur gear,curvature radii in different meshing points are extracted.The meshing process of tooth surface is simplified as elastic extrusion between pairs of cylinders with different radii.Considering the load distribution between the teeth,the Hertz principle is used to carry out load-bearing contact analysis on the tooth surface.It shows that the results of this method are quite same as the results obtained by FEM and experiment.The error of the maximum of the contact stress is 0.74%.The results of transmission error and meshing stiffness are essentially same.The dynamic process of tooth surface contact and meshing stiffness can be reflected by this analysis method.