螺旋锥齿轮HFT法加工的反调修正方法

针对高精度螺旋锥齿轮制造的机床调整参数反调修正计算问题,基于机床、刀具结构与螺旋锥齿轮刀倾法加工原理,建立刀倾法加工的螺旋锥齿轮理论齿面方程、误差齿面方程和齿面法向误差的数学模型,给出全齿面法向误差曲面表达式。研究机床调整参数与全齿面法向误差的变化规律,建立机床调整参数与齿面误差关联规律,给出全齿面敏感系数矩阵和理论齿面法向误差的计算公式,使用序列二次规划法求得机床调整参数修正量最优解,以一套HFT制造工艺参数验证了提出的齿面反调修正方法的正确有效性。

Reverse correction of spiral bevel gear HFT method

To calculate the machine setting parameters correction for high precision HFT spiral bevel gear manufacturing,based on the machine tool and tool structure and the spiral bevel gear tilt method manufacturing principle,HFT spiral bevel gear theoretical tooth surface equation and error tooth surface equations,tooth surface normal error model were derived,and the whole tooth surface error surface expression was given.The relationship between machine setting parameters and the spiral bevel tooth surface normal error variation was set up.The entire tooth surface sensitivity coefficient matrix and the theoretical tooth surface normal error formula were established.The optimal solution of the machine setting parameters correction values was obtained by using the sequential quadratic programming method,and a set of the HFT manufacturing process parameters were used to verify the correct validity of the tooth surface correction method.