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基于“最短距离线对”(SDCP)刀位误差分布计算原理,提出了一种利用圆环面刀具来进行叶片过渡区域的宽行加工的刀位优化数学模型。以圆环面刀具的环心圆前沿上的各点到被加工曲面等距面的误差在控制范围内,后沿上的各点到被加工曲面等距面的误差大于零,以及环心圆上的各点到相邻曲面等距面的误差大于零作为刀位计算的约束条件,以行宽作为优化目标函数,通过调整刀具相对于工件的位置和姿态角来获得行宽最大的刀位集合。以某航空发动机叶片的叶盆根部为例进行了刀位优化、加工仿真和切削试验,验证了该方法在叶盆根部加工中的有效性。该方法可广泛应用于利用环面刀具高效加工复杂型腔底部或凸台底部边缘工艺中。
Based on the calculation principle of the position error distribution of the “shortest distance to the right” (SDCP), a mathematical model of the tool bit position optimization using the toroidal cutter for wide-width machining of the blade transition region was proposed. To torus torus cutting edge of the front edge of the point to be machined surface equidistant error in the control range, the back edge of the surface to be machined surface equidistant error is greater than zero, and the ring heart The error of the adjacent surface equidistant surface is greater than zero as the constraint of tool position calculation, the line width is taken as the optimization objective function, and the position of the tool with respect to the workpiece and the attitude angle are adjusted to obtain the tool position with the largest line width set. Take the blade root of an aeronautic engine blade as an example, the cutter location optimization, machining simulation and cutting test are carried out to verify the effectiveness of this method in the root machining of the lobe. This method is widely used in the process of efficiently machining the bottom of a complex cavity or the bottom edge of a land using a toroidal cutter.