多片弹性短程线网格结构的设计与制作
Design and Fabrication of Multi-Patch Elastic Geodesic Grid Structures
摘要：
弹性测地线网格（EGG）是一种轻量级的结构，可以用来近似设计者提供的自由曲面。最初，网格是完全平坦的，在部署期间，随着网格元件弯曲和扭曲，出现弯曲形状。它们的布局是基于测地线的网络，并在几何上找到。平面网格中编码的是设计表面的固有形状。这样的结构可以服务于自由形式的子结构，面板，太阳和雨水保护，亭子等，然而，到目前为止，EGG只使用一组通用的设计表面和小规模的桌面模型进行了研究。当考虑更复杂的设计表面时，一些限制变得明显，比如自由形式的架构。由于高局部曲率或非测地线边界等特征，它们可能仅被单个EGG很差地捕获。我们将展示如何将这些表面分解成更小的补丁作为一种有效的策略来解决这些问题。我们还表明，弹性测地线网格实际上是非常适合这种方法。最后，我们提出了一个展示模型的一些米的大小，并讨论有关制造，大小和易于部署的实际方面。
英文摘要：
Elastic geodesic grids (EGG) are lightweight structures that can be deployed to approximate designer-provided free-form surfaces. Initially, the grids are perfectly flat, during deployment, a curved shape emerges, as grid elements bend and twist. Their layout is based on networks of geodesic curves and is found geometrically. Encoded in the planar grids is the intrinsic shape of the design surface. Such structures may serve purposes like free-form sub-structures, panels, sun and rain protectors, pavilions, etc. However, so far the EGG have only been investigated using a generic set of design surfaces and small-scale desktop models. Some limitations become apparent when considering more sophisticated design surfaces, like from free-form architecture. Due to characteristics like high local curvature or non-geodesic boundaries, they may be captured only poorly by a single EGG. We show how decomposing such surfaces into smaller patches serves as an effective strategy to tackle these problems. We furthermore show that elastic geodesic grids are in fact well suited for this approach. Finally, we present a showcase model of some meters in size and discuss practical aspects concerning fabrication, size, and easy deployment.
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