参数曲线自适应加减速控制方法在弧齿锥齿轮数控加工中的应用

为研究弧齿锥齿轮数控加工方法，通过矢量变换实现铣齿加工的数控展成，将数控轴的展成运动表示为以工件齿轮转角为参数的五次参数样条函数。对轮廓误差引起的进给速度曲线进行分析，在保证加加速度满足要求的同时，对加速度的变化进行控制，提出参数曲线插补的自适应加减速控制方法。通过插补仿真表明，该方法可以有效地避免加速度和加加速度的突变对机械本体造成的冲击。将该加减速控制方法应用于弧齿锥齿轮数控加工中，并且在自主研制的弧齿锥齿轮数控铣齿机上进行切齿加工。试切加工结果证明该方法切实可行、有效，能够实现对弧齿锥齿轮数控加工的插补控制。

Application of Adaptive Acceleration-deceleration Control Method of Parametric Curve Interpolator in Spiral Bevel Gear NC Machining

In order to research the method of spiral bevel gear NC machining, the NC generation of spiral bevel gear cutting is realized by means of the vector transformation. The coordinated motion of NC coordinate axes is expressed as quintic parametric spline functions, which use the rotation angle of the work gear as the parameter. The velocity profile is analyzed, where the feedrates are varied due to the contour errors. An adaptive acceleration-deceleration control method of parametric curve interpolator is presented. The simulation of interpolation shows that accelerations and decelerations are controlled with the consideration of the limited jerk, and the shock imposed on the mechanical parts by the variation of accelerations and jerks is effectively avoided. The control method is combined with spiral bevel gear NC machining, and is applied to the self-developed spiral bevel gear NC milling machine to control the gear cutting. Experimental results show that the proposed method is feasible and effective in the control of NC machining for the spiral bevel gear.