砂轮修整对成形磨齿齿廓偏差的补偿  

Compensation for Tooth Profile Deviations of Form-grinding Tooth with Grinding Wheel Dressing

作　　者：汪中厚[1] 耿直[1] 李刚[1] 朱文敏[1] 

机构地区：[1]上海理工大学机械工程学院,上海200093

出　　处：《机械传动》2015年第1期13-16,42,共5页Journal of Mechanical Transmission

摘　　要：为了提高成形磨齿齿轮的精度,研究了一种通过修整砂轮廓形来补偿齿廓偏差的方法。首先说明了研究此方法的必要性,然后介绍了此方法的原理:用三次B样条曲线对齿形测量数据点进行拟合,求出拟合后的曲线方程,并在此基础上建立了真实的齿面方程求解模型,提出了针对齿廓偏差补偿的用于计算砂轮截形的假想齿面方程。基于同一个齿轮不同齿的测量数据,可得到不同的砂轮截形,为此将所有的砂轮截形组成线族,对线族中的离散点采用最小二乘法进行拟合,拟合之后的砂轮截形为补偿齿廓偏差的最佳截形。最后,通过实验试磨分析,加工出的齿轮经测量齿廓偏差由5级精度提高到了3级精度,并且同时补偿了齿廓倾斜偏差与齿廓形状偏差。To enhance the accuracy of gear profile grinding, a compensation method for gear profile deviations by grinding wheel dressing is studied. Firstly, the necessity of studying this method is illus- trated, and then the principle of this method is introduced. The tooth profile measurement data is fitted by 3 B spline curve, the fitting curve equation and the real tooth surface equation are founded. Based on it, in view of the tooth profile deviation compensation, the imaginary tooth surface equation used to calculate the grinding wheel cross--sectional shape is proposed. Based on the different gear measurement data of the same tooth, the different grinding wheel cross--sectional shape can be got, therefore all the grinding wheel cross--sectional shape can form line group, then using least square method to fit the discrete points in line group, the best grinding wheel cross--sectional shape can be got to compensate the tooth profile deviation. Finally, the experiment result shows that the tooth profile deviations could be enhanced to accuracy grade 3 from 5, the tooth profile slope deviation and tooth profile shape deviation are reduced obviously.

关 键 词：砂轮修整 成形磨齿 成形砂轮 齿形测量 齿廓偏差补偿 

分 类 号：TG616[金属学及工艺—金属切削加工及机床]