基于接触应力均化的摆线轮修形方法

Modification Method of Cycloidal Gears Based on Contact Stress Equalization

在传统组合修形的基础上,综合分析摆线轮传动精度和齿面接触应力,提出一种基于接触应力均化的摆线轮修形方法。将摆线针轮齿廓传动压力角最小的工作段作为修形量优化的区间,分析所需齿侧间隙,选定合理的转角修形量范围;以转角修形齿廓为目标齿廓,用等距和移距组合修形逼近方法确定相应的等距和移距修形量,并将其代入摆线轮传动受力方程,得到优化区间内同时啮合各齿之间接触应力分布方差;以同时啮合各齿之间接触应力分布方差最小为优化目标,在转角修形量范围内,搜索出最佳的转角修形量以及对应的组合修形量。仿真和试验结果表明,相较于传统方法,该方法能够提高传动精度,并显著改善齿面受力状况,延长摆线轮使用寿命。

Based on the traditional combination modification methods, a cycloid gear modification method involving with contact stress equalization was proposed after comprehensively analyzing the transmission accuracy and tooth surface contact stress. Firstly, the working sections with the minimum pressure angle of the cycloidal gear transmission were used as the intervals for the shaping amount modification. Secondly, required backlashes were analyzed and a reasonable range of corner modification was selected;Then, with the angle modification as the target profile, approximation was made by combinion of equidistant and displacement modification, and finally was used to determine the corresponding equidistant and distance modification amount. The variances of contact stress distribution among teeth meshing at the same time in the optimum interval were obtained after the modification amounts were brought into the equation of the cycloidal transmission. Finally, with the objective of minimizing the variance of contact stress distribution among teeth meshing at the same time, the optimum angular modification and corresponding combined modification were searched within the range of angular modification. The simulation and test results show that this method may improve the transmission accuracy, the forced conditions of the tooth surfaces and prolong the services life of cycloidal gears, compared with the traditional methods.