中国激光, 2010, 37 (6): 1643, 网络出版: 2010-07-07
激光三维切割空间曲线的刀位点离散方法
A New Method to Obtain Discrete Cutting Points of Space Curve in Three-Dimensional Laser Cutting
摘要
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。
Abstract
For three-dimensional (3D) laser cutting profile in space surface, an optimized method to disperse cutting points is presented. By analyzing the curvature of starting point of the space curve, the initial step length can be determined according to precision. Then the intersection point of the reference ball founded by using the initial step length as the radius and the profile curve is the initial cutting point. Through adjusting the radius of the reference ball, the optimized discrete points can be obtained by using dichotomy according to chord length. An automatic programming software of 3D laser cutting is developed. The functions of track extraction, rapid dispersion of curves and normal vector calculation during the 3D laser cutting can be realized.
汪鎏, 胡关虎, 胡俊, 罗敬文. 激光三维切割空间曲线的刀位点离散方法[J]. 中国激光, 2010, 37(6): 1643. Wang Liu, Hu Guanhu, Hu Jun, Luo Jingwen. A New Method to Obtain Discrete Cutting Points of Space Curve in Three-Dimensional Laser Cutting[J]. Chinese Journal of Lasers, 2010, 37(6): 1643.