碟形砂轮磨削面齿轮的数控规律

Computer numerical controlling rules for applying grinding disk in face gear grinding

为制造高精度面齿轮,对用碟形砂轮加工面齿轮的数控磨齿方法进行研究.由插齿刀的齿面确定适用于磨削直齿、斜齿面齿轮的碟形砂轮曲面,分析碟形砂轮磨削面齿轮的展成原理,通过坐标变换建立碟形砂轮磨削面齿轮的齿面方程.根据不同加工方法中刀具位置和运动的等价原则确定磨削面齿轮的数控机床运动规律,为方便编程,将该运动规律用二元Taylor展开式表示.计算数控加工齿面与理论齿面的偏差,计算实例的最大偏差为0.071 9μm,表明用碟形砂轮磨削面齿轮是可行的,数控规律是正确的,能够达到理想的磨齿精度.

To manufacture face gear with high precise, computer numerical controlled （CNC） grinding method and grinding disk in face gear machining was investigated. The tooth surface equation of face gear machined by grinding disk was determined by coordinate transformation. The motion laws by the equivalence principle of position and movement of tool in different mac of CNC machine were established method, and then the laws were transformed into Taylor expansion for convenient programming. The deviation of CNC machining tooth surface from that of theoretical was calculated, in an illustrated example the maximal deviation was 0. 0719 micrometers. The result shows that the grinding method of face gear is feasible, the CNC motion laws are correct and the desired precision is easy to meet.