中文摘要：

基于几何曲率方法，针对AISI304L不锈钢金属直管的激光平面弯曲成形和三维空间弯曲成形进行了路径规划的研究。对平面内弯曲成形，根据目标管形的极值点和拐点将管材分段，取极值点作为路径规划的初始位置，对各分段采用不同的扫描间距以确定加热扫描路径。对三维空间弯曲成形，采用投影分解的方法，把三维成形曲面投影分解为两个二维曲面，分别获取扫描路径和工艺参数，然后组合与简化，获取三维弯曲成形的扫描路径。实验采用Nd：YAG固体激光器，以平面内正弦曲面弯曲和空间螺旋管弯曲两种形式为例，作为目标形状进行扫描路径规划与实验验证，扫描弯曲结果证明了扫描路径规划方法的有效性。

英文摘要：

Based on geometric curvature method, the scanning path planning for laser bending of straight tube, AISI304L stainless steel, into a bent tube in a plane or three dimension curvature was researched. To two dimensional（2D） laser bending tubes, the tube is divided into several segments according to the extreme point and inflection point of the desirable tube, taking the extreme point as the initial place of the path planning, using different scanning space for every subsection in order to identify the heating/scanning paths. In order to 3D laser bending of tubes using projection decomposition method, three dimensional surface is decomposed into two two dimensional curved surfaces, the scanning path planning and process parameters were thus acquired respectively. Through combining two groups＇ data, the 3D heating/scanning path planning was obtained. Finally experimental verification is carried out by using a typical complex sinusoidal surface and helical coils of three dimensional shape as the desirable shape on Nd： YAG solid laser , scanning bending results show that in the paper scanning path planning method is effective and feasible.