基于压力角的摆线针轮齿廓曲线优化方法

OPTIMIZATION METHOD OF CYCLOIDAL PIN GEAR TOOTH PROFILE CURVE BASED ON PRESSURE ANGLE

根据摆线针轮传动理论,提出一种基于压力角的齿廓优化方法。将摆线针轮齿廓分为工作段与非工作段,区分影响工作段压力角的因素为修形参数与设计参数,讨论两类参数对压力角的影响,以此两类参数为设计变量,以工作段平均压力角为目标函数,以运动与润滑要求确定边界条件,对RV⁃550E型减速器摆线轮进行优化设计。结果表明,此方法使算例的工作段平均压力角降低了4.14%,使单齿啮合过程的压力角最大值降低了1.35%,优化前后接触齿对最大Mises应力下降了20.77%,发生位置由摆线轮转移至针轮,模型质量减小了9.38%,在确保无根切现象的同时能获得良好的组合修形效果。

According to the theory of cycloidal pin gear drive,a method of tooth profile optimization based on pressure angle was proposed.The cycloidal pin gear tooth profile was divided into working section and non⁃working section.The factors that affected the pressure angle of the working section were modification parameters and design parameters.The influence of the two types of parameters on the pressure angle was discussed.With the two types of parameters as design variables and the average pressure angle of the working section as the objective function,the cycloidal gear of RV⁃550E reducer was optimally designed by determining the boundary conditions from the requirements of motion and lubrication.The results show that this method reduces the average pressure angle of the working section of the example by 4.14%,the maximum value of the pressure angle in the single tooth meshing process by 1.35%,the maximum Mises stress of the contact tooth pair before and after optimization by 20.77%,the occurrence position is transferred from the cycloidal gear to the pin gear,and the model mass reduces by 9.38%,which can ensure that there is no undercut phenomenon and obtain a good combined modify effect.