基于纬线分划的凹锥鼓形刀宽行加工包络算法

利用纬线法求解刀位误差分布时,针对刀具到工件曲面的最短距离计算方法的效率低、离散精度不易确定的问题,提出了一种运用包络理论求解刀位误差分布的方法。首先,在纬线分划刀具的研究基础上,提出更具普遍性的凹锥鼓形刀的刀具模型。然后,采用单切触点定位刀具,利用包络理论精确快速计算刀位误差分布,进而建立了刀位优化模型。最后,将该方法应用于叶片进排气边的加工,计算实例表明该方法可以精确、快速生成刀具轨迹,实现进排气边的高效加工。

Envelope Algorithm of Strip-width Maximization for Concave Conical Barrel Tool Based on Latitude Separation Approach

In obtaining tool position error distribution through latitude separation approach, there exist problems of low efficiency and determining discrete precision difficultly in the algorithm for calculating the shortest distance from the tool to the design surface. To solve these problems, an algorithm used envelope theory for calculating tool position error distribution is presented. First, a generalized tool model of concave conical barrel tool is proposed. After that, the tool is located at single contact point, and tool position error distribution is calculated accurately and quickly. The tool position optimization model is then established. Finally, this method is used to machine the leading and trailing edges of a turbine blade. A calculation example showes that the method can generate tool path accurately and quickly, leading and trailing edges of a turbine blade can be machined in high efficiency.