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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。
In order to improve the accuracy of the formed gear, a method of compensating for the profile deviation by dressing the profile of the sand was studied. First of all, the necessity of studying this method is illustrated. Then the principle of this method is introduced. Using the cubic B-spline curve to fit the data point of the tooth shape measurement, the curve equation after fitting is obtained. Based on this, The real tooth surface equation solving model is proposed and the imaginary tooth surface equation for calculating the truncation of the grinding wheel is put forward according to the compensation of tooth profile deviation. Based on the measurement data of different teeth of the same gear, different wheel profiles can be obtained. For this purpose, all the wheel profiles are grouped into line families, and the discrete points in the line families are fitted by the least squares method. After fitting the wheel Truncation is the best truncation to compensate for tooth profile deviation. Finally, through the experimental test analysis, the tooth profile deviation of the machined gear is improved from 5 level accuracy to 3 level accuracy, and at the same time the tooth profile deviation and profile shape deviation are compensated.