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针对空间曲面上的激光三维(3D)切割轨迹,提出了一种高效、快速的刀位点离散方法。根据空间轨迹曲线起始点的曲率,按照精度要求可以确定所选曲率圆的初始角度,从而根据几何知识即可确定初始步长。以初始步长为半径建立参考球,并将其与轨迹曲线求交即可获得初始刀位点。为了对刀位点进行优化以提高曲线离散的效率,通过比较弦高差采用二分法进行动态调整参考球半径,在满足精度要求下依次获得优化后的待加工轨迹刀位点。由此开发了激光三维切割自动编程软件,实现了轨迹提取,曲线快速离散以及刀位点法矢获得等功能,可用于激光三维切割加工。
Aiming at the laser three-dimensional (3D) cutting trajectory on the surface of space, an efficient and rapid method of cutter point discretization is proposed. According to the curvature of the starting point of the spatial trajectory curve, the initial angle of the selected curvature circle can be determined according to the precision requirement, so that the initial step size can be determined according to the geometric knowledge. The initial step is to set up a reference sphere as a radius, and intersect the trajectory curve to obtain the initial tool point. In order to optimize the knife point to improve the curve discrete efficiency, by using the dichotomy to dynamically adjust the reference sphere radius by comparing the chord height difference, the optimized track point to be machined is obtained in order to meet the precision requirements. Therefore, the laser 3D cutting automatic programming software has been developed to realize such functions as trajectory extraction, rapid curve dispersion and normal vector acquisition of the knife site, which can be used for laser 3D cutting.