圆柱直齿轮铣削加工无干涉刀具路径规划

针对圆柱直齿轮的多轴铣削精加工， 提出一种无干涉刀具路径规划方法. 首先，建立齿轮包络铣削运动模型，准确描述铣刀和工件之间的运动关系；其次，在齿轮齿廓精确模型描述的基础上，通过残留高度曲线与刀具圆弧的求交，计算出残留高度点；根据残留高度点到刀具圆弧中心之间的距离等于刀具半径，计算出刀具路径曲线上的下一刀位点；依次递推计算出等残留高度进给下的所有刀位点；再次，以等残留高度刀位点计算结果为基础，残留高度约束下，计算出等弧长进给和等径向进给的刀位点；然后，通过距离法判断刀具与工件是否存在全局干涉，给出刀具不同刀位点对应的刀偏角，局部干涉通过调整刀具半径来避免；最后，通过仿真计算实例验证所提出方法的可行性和有效性.

Interference-Free Tool Path Generation for Milling of Spur Gears

Regarding the finish machining of multi-axis milling， an interference-free tool path generating method for milling of spur gears was proposed. The kinematics model of gear enveloping was established to precisely describe the kinematic relation between the milling tool and workpiece. Based on the accurate model of gear tooth profiles， the scallop point is determined by intersection calculation between the circle of the cutter radius and scallop curve. According to the way that the tool radius is equal to the distance between the scallop point and center point of the cutter arc， the next cutter location(CL) point is identified on the tool path curve. All CL points are determined by the iterative method. On the basis of the CL points on the scallop curve， CL points of the equal radial feeding strategy and equal arc-length feeding strategy were calculated under the constraint of scallop height. The occurrence of global interference was judged by calculating the minimum distance between the milling tool and workpiece. Then the cutting edge angles corresponding to different CL points were given. The occurrence of local over-cut interference was avoided by adjusting the cutter radius. The simulation results showed the proposed method was feasible and effective.