论文标题
使用自然弯曲的丝带平滑三轴编织
Smooth triaxial weaving with naturally curved ribbons
论文作者
论文摘要
三轴编织是一种手工艺技术，长期以来一直用于使用最初的直丝带和平坦的丝带来创建弯曲结构。织布工通常会引入离散的拓扑缺陷，以产生非零的高斯曲率，尽管具有刻面表面。我们证明，通过调整丝带的平面内曲率，可以连续变化编织的集成高斯曲率，使用传统技术是不可行的。此外，我们揭示了物理单位细胞的形状仅由丝带的平面几何形状而不是弹性决定。最后，我们利用三轴编织的几何驱动性质来设计一组色带曲线，以编织光滑的球形，椭圆形和环形结构。
Triaxial weaving is a handicraft technique that has long been used to create curved structures using initially straight and flat ribbons. Weavers typically introduce discrete topological defects to produce nonzero Gaussian curvature, albeit with faceted surfaces. We demonstrate that, by tuning the in-plane curvature of the ribbons, the integrated Gaussian curvature of the weave can be varied continuously, which is not feasible using traditional techniques. Further, we reveal that the shape of the physical unit cells is dictated solely by the in-plane geometry of the ribbons, not elasticity. Finally, we leverage the geometry-driven nature of triaxial weaving to design a set of ribbon profiles to weave smooth spherical, ellipsoidal, and toroidal structures.
