弧齿锥齿轮全工序法及机床误差敏感性分析

为了在全工序法中利用Free-form机床的灵活性与自由度，提出直接面向Free-form机床的弧齿锥齿轮全工序法，并分析小轮齿面的机床误差敏感性. 已知大轮齿面，对小轮齿面微观形式进行主动设计. 建立直接面向Free-form式机床的四轴联动全工序法小轮切齿数学模型，根据小轮目标齿面参数，求解刀盘和被加工小轮的相对运动关系，得到机床各轴的运动5次多项式，以及剩余待定的小轮刀盘廓形参数. 分析机床各轴运动误差对小轮齿面拓扑形状的影响规律. 算例表明：直接面向Free-form式机床的四轴联动全工序法可以保证小轮正车面接触迹线每个离散点的参数，和倒车面参考点的参数；机床各轴的运动误差可以引起小轮齿面的螺旋角误差、对角误差和压力角误差；Y轴对小轮齿面的影响最小.

Completing process method for spiral bevel gear and sensitivity analysis of machine tool motion error

A completing process method for spiral bevel gears directly facing the Free-form machine tool was proposed in order to use the flexibility and freedom of the Free-form machine tool, and the sensitivity of the pinion tooth surface to the motion error of the machine tool was analyzed. Firstly, given the wheel tooth surface, the active design of the microgeometry of the pinion tooth surface was conducted. Secondly, the pinion cutting model by the completing process method was established directly based on a four-axis linkage Free-form machine tool. Then, according to the target parameters of the pinion tooth surface, the relative motion between the cutter and the machined pinion was solved, and the fifth-degree motion polynomial of each axis of the machine tool and the remaining undetermined profile parameters of the pinion cutter were obtained. Finally, the influence of the motion error of each axis of the machine tool on the topological shape of the pinion tooth surface was analyzed. Numerical results show that the parameters of each discrete point of the contact path of the drive tooth surface of the pinion and the parameters of the reference point of the coast tooth surface of the pinion can be ensured by this method. In addition, the motion error of each axis of the machine tool can cause the spiral angle error, the diagonal error and the pressure angle error of the pinion tooth surface, and the Y-axis has the least influence on the pinion tooth surface.