基于计算机数字控制弧齿锥齿轮加工机床的准双曲面齿轮的制造

MANUFACTURE OF HYPOID GEAR BASED ON COMPUTER NUMERICAL CONTROL CUTTING MACHINE

基于五轴联动数控铣齿机的概念模型,提出一种新的加工准双曲面齿轮主动设计齿面的切齿原理。推导出相应的切齿啮合方程、工件齿面二阶参数展成控制方程和工件齿深控制方程,并给出机床运动函数、刀盘中心速度以及刀尖半径的具体求解方法。在求解过程中,不涉及刀盘中心加速度以及更高阶运动参数的计算,可简化求解过程。使用该切齿原理进行切齿时,可在有效保证齿深的前提下,在切齿加工过程中实现对沿工件齿面设计接触迹线切矢和切齿接触线切矢两个方向上齿面二阶参数的精确控制。同时,该切齿加工理论还可以推广到其他多种复杂点啮合齿面的加工过程中。

Based on the conceptual model of the five-axis simultaneous CNC bevel gear cutting machine, a new machining theory for the function-oriented active tooth surface of hypoid gear is proposed. The equation of meshing, control equation of the tooth depth and the second order geometric parameters of the gear tooth surface are established. A new algorithm for determining the motion function of machine tool, cutter velocity and point＇radius of cutter is given. In this process, there is no need for calculating of the moving acceleration and the acceleration rate of the cutter. According to this theory, the second order geometric parameters of the gear tooth surfaces and the designed tooth depth can be generated accurately. At the same time, above-mentioned manufacture method for the hypoid gear is universal and can be used to manufacture many kinds of point mesh gears.