为了改善加工参数较少的面齿轮传动的啮合性能,提出了用给定的啮合性能对面齿轮和小齿轮齿面进行拓扑修形设计的方法.面齿轮用插齿法加工,面齿轮与插齿刀的转角关系由预设的传动误差确定,由此确定面齿轮的拓扑修形齿面.然后用接触路径的位置及其方向和接触椭圆的大小构造小齿轮的拓扑修形齿面,该齿面用共轭点接触法磨齿加工,建立了小齿轮拓扑修形齿面与加工参数之间的线性方程.结果表明:齿面接触分析(TCA)获得的传动误差、接触路径与预设的传动误差、接触路径相同,TCA仿真的椭圆长度与预设椭圆长度相差范围为0.175 2~1.16mm.
A method to redesign ease-off topology surfaces of pinion and face gear with given meshing performance was proposed to improve the meshing performances of face gear drives with small number of machining parameters.The face gear could be manufactured through shaping,and the pre-designed transmission errors could determine the relationship between the rotation angle of the shaper and the rotation angle of the face gear,thereby forming ease-off topology flank of the face gear.And then the ease-off topology flank of the pinion was calculated according to the location and direction of the pre-designed contact path and the pre-designed size of contact ellipse;finally,agrinding method of conjugation of point contact was used to obtain the ease-off topology flank of the pinion,while the linear equations between machining parameters and calculated ease-off topology flank of the pinion were deduced.The results show that,the transmission error and contact path simulated by tooth contact analysis(TCA)were the same as the pre-designed transmission error and contact path,with the difference between the length of contact ellipse simulated by TCA and the length of pre-designed contact ellipse from 0.175 2mm to 1.16mm.