自动铺丝平行等距轨迹规划算法实现

针对复合材料自动铺丝技术轨迹规划问题,提出了一种新的基于测地线的平行等距轨迹规划算法.该算法首先将已知的第一条轨迹线在曲面上等弧长离散得到若干数据点,然后在数据点处曲线切矢和曲面法矢的向量积方向上利用测地线的短程性获得下一条铺放轨迹上数据点,并利用B样条曲线拟和数据点生成铺放轨迹,最后使轨迹线铺满模具表面.算法中测地线利用微分方程组数值求解得到,以曲面曲线弧长为自变量,可实现等距线求解的自适应步长调整和较高的精度.经实际算例验证,该算法简单实用,精度能够满足铺丝技术工艺要求.

Implementation on Fiber Placement Parallel Equidistant Path Generation Algorithm

Based on the geodesic,a novel parallel equidistant path generation algorithm for composite fiber placement was implemented. This algorithm firstly dispersed the known first path by equal arc on the surface and got some data points. Then at the location of each data point the character of geodesic that was the shortest path in a small domain was used to get new data points on the second path with the direction that was the vector product of the curvilinear tangent vector and the surface normal. Afterward the path passing these new data points was generated through spline curve fitting. At last the placement paths overspread the surface of the mould. By numerical solving the differential equations and using curvilinear arc as independent variable this algorithm can achieve automatic adaptive step adjustment and get high computation precision. The practical examples indicate that this algorithm is simple and the precision requirements of automatic fiber placement technology are satisfied.