三角网格面自动铺丝定角度路径规划算法

研究三角网格曲面上的路径规划问题,以局部测地线为补充,提出了改进的定角度初始路径规划算法。该算法避免了传统参数化求解过程的无解和多解情况,尤其适用于曲率变化较大的复杂曲面和拼接曲面。采用等距覆盖算法来获得均匀的满铺路径,并分别提出基于路径样条线末端延伸和芯模曲面整体延拓的两种边界处理思路,以解决偏移路径无法到达曲面边界的问题。以某机翼模型为算例对上述算法进行验证,利用计算机辅助三维交互应用(Computer aided three-dimensional interactive application,CATIA)的逆向工程模块实现了完整的算法可视化,建立了三维建模软件与路径规划算法的系统关系。验证表明本文提出的算法可靠、系统、适应性强,具有工程应用价值。

Fixed-Angle Method for Automatic Fiber Placement on Triangular Mesh Surface

With local geodesic line as a supplement, this paper proposes an improved fixed-angle initial path planning algorithm on grid surfaces. This algorithm avoids the no-solution and multi-solution situations of the traditional parametric methods, and is especially suitable for complex curved surfaces and spliced surfaces with large curvature changes. After the uniform coverage is obtained by equidistant offsetting algorithm, two boundary processing ideas are presented to solve the problem that the offsetting paths cannot reach the surface boundary. The algorithm is verified on a wing model and the visualization is realized in CATIA''s reverse engineering module. The validation shows that the proposed algorithm is reliable, systematic and adaptable, and has engineering application value.