带副后角渐开线花键拉刀齿形精度控制方法

Precision control method of tooth profile for involute spline broach with secondary back Angle

渐开线花键拉刀刀齿副后角的加工需要多次修磨以保证后续花键孔的制备精度,限制了该种拉刀生产效率,为解决这一问题,需研究带副后角渐开线花键拉刀最优修正齿形确定方法。采用渐开线替代理论修正齿形,结合最小二乘法与数值搜索法求解代用渐开线函数。实例分析中,将最优压力角数量级控制到0.01°,得到齿形总误差极小值。同组误差点下,代用渐开线齿形拟合总误差0.001 mm优于代用圆弧法齿形拟合总误差0.0029 mm。试制拉刀跨棒距误差小于0.01 mm,拉制渐开线内花键齿轮通过配套P26C齿形5级精度检测。

The production efficiency of involute spline broaching tool is limited due to the need of multiple grinding to ensure the preparation accuracy of subsequent spline holes.In order to solve this problem,it is necessary to study the determination method of the optimal correction tooth profile of involute spline broaching tool with a pair of back angles.In this paper,the involute replacement theory is used to correct the tooth profile and the least square method and numerical search method are combined to solve the alternative involute function.In the case analysis,the optimal pressure Angle is controlled to 0.01°,and the minimum of tooth profile error is obtained.In the same group of error points,the total error of tooth profile fitting by the substitute involute method is 0.001 mm better than that by the substitute circular arc method.The cross-bar distance error of the broach is less than 0.01 mm.The 5 level precision of the involute internal spline gear is tested by matching P26C tooth profile.