中文摘要：

为提高刀倾法准双曲面小轮精切余量的均匀性,提出了小轮粗切参数的优化方法.已知小轮精切加工参数,根据轮坯中点的检查尺寸对小轮两侧精切齿面进行精确定位;给定初始小轮粗切参数,预置小轮的精切余量,计算出两侧齿面10个控制点的精切余量,以精切余量与预置精切余量之差的平方和最小为目标函数,以小轮粗切参数为优化变量,采用遗传算法进行优化.算例表明,对比格里森粗切参数,文中方法的凹、凸面精切余量的最大偏差分别减小0.015和0.123 mm,均方根分别下降9.52%和7.98%,试验小轮的小端、中端和大端实测弦齿厚分别减小0.11、0.06和0.12 mm,明显改善了精切余量的均匀性.

英文摘要：

In order to improve the uniformity of finishing allowance of hypoid pinion cutting by tilted method,an optimization method of roughing summary of the pinion is proposed. In this method,on the basis of known pinion finishing summary,the location of both tooth flanks can be determined according to the pinion tooth size at the middle of gear blank face width. Then,by presetting the initial roughing summary and finishing allowance of the pinion,the finishing allowance of ten control points in both tooth surfaces is achieved. Finally,a genetic algorithm is adopted to conduct an optimization,with the minimum sum of the squares of the difference between the preset finishing allowance and the finishing allowance as the objection function and with the roughing summary of the pinion as the variables. Numerical examples show that,as compared with the Gleason＇s method,the proposed method decreases the maximum deviations of the finishing allowance on concave and convex by 0. 015 and 0. 123 mm as well as the corresponding root mean squares by 9. 52% and 7. 98%,respectively. In addition,the measured normal chordal thickness at the toe,middle and heel of a tested pinion decrease respectively by 0. 11,0. 06 and 0. 12 mm.The above results demonstrate that the uniformity of the finishing allowance is improved greatly.