In the automated fiber placement process, the continuous placement paths need to be discretized into a finite number of path points because the laying head cannot continuously trace the predetermined curved path. However, the discretization of the placement path, which is a spatial curve, will inevitably introduce error. In this paper, an improved path discretization algorithm is proposed for the fiber placement of complex double-curved structures. Firstly, the discrete error was decomposed into normal direction and binormal direction, and they are correlated with the laying process and their influences on the laying quality are discussed, respectively. Secondly, the relationship between the binormal error and the overlap of the tow is analyzed with differential geometry, and the influence of the normal error on laying force is discussed by the pressure experiment and the finite element method. Finally, the improved path discretization algorithm has been verified on double-curved surface and compared with the traditional path discrete algorithms. The results showed that the number of discrete path points decreases by 45.8% on average compared with the chordal deviation discretization algorithm and by 63.1% compared with the equal-arc discretization algorithm.

中文翻译：

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一种改进的自动纤维铺放路径离散化方法

在自动纤维铺放过程中，由于铺放机无法连续跟踪预定的弯曲路径，因此需要将连续铺放路径离散为有限数量的路径点。然而，放置路径的离散化是一条空间曲线，不可避免地会引入误差。本文针对复杂双曲线结构的纤维放置提出了一种改进的路径离散化算法。首先将离散误差分解为法线方向和副法线方向，分别讨论与铺设过程相关的离散误差对铺设质量的影响。其次，用微分几何分析了副正态误差与丝束重叠的关系，并通过压力试验和有限元方法讨论了法向误差对铺设力的影响。最后，在双曲面上对改进的路径离散化算法进行了验证，并与传统的路径离散算法进行了比较。结果表明，与弦差离散化算法相比，离散路径点数平均减少了45.8%，与等弧离散化算法相比，平均减少了63.1%。