复合材料铺丝成型中的路径规划

Path Planning for Composite Fiber Placement

针对复合材料自动铺丝路径规划问题,提出了一种新的基于正交投影的铺丝路径生成算法。首先根据铺丝意图设计空间曲线,然后正交投影到铺丝面上,利用经典的微分几何方法建立特征投影曲线的微分方程,用数值方法求解得到铺丝面上数据点,并用B样条曲线拟合这些点即是铺丝参考线,再对其进行等距得到一条铺丝路径,进而得到所有路径。经过算例进行验证,该算法能实现任意方向的纤维铺放,满足铺丝技术工艺要求。应用本文的研究成果,在CATIA利用CAA中完成了自由曲面的铺丝路径仿真。

Targeting at path planning for composite fiber placement, a novel path generation algorithm based on orthogonal projection is proposed. Firstly, we designed a continuous curve in 3D space and then projected orthogonally it onto the mould surface. We derived a system of differential equations characterizing the projection curve and inte- grated it to obtain the projection curve described by a set of discrete points. Subsequently the initial path was created by fitting these discrete points with B-spine curve. Offsetting the initial path and hence offsetting the resulting path in turn, a uniform path coverage was constructed on the mould surface. The practical examples indicate that this algorithm can achieve fiber placement from arbitrary angle and the precision requirements of automatic fiber placement are readily satisfied. At last, the algorithms proposed above are verified through fiber placement process simulation in the CATIA with CAA.