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Novel Folding Methods for Deterministic Deployment of Common Space Structures

机译:确定性部署公共空间结构的新颖折叠方法

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This paper investigates the mathematics of folding to develop novel packaging approaches for deployable space structures. First, an alternative folding pattern of flat rectangular arrays that has an equivalent packaging efficiency to z-folding without it associated thickness accumulation issues with a secondary fold. Second, the concept of rolling folds is applied to rigid cylinder as a deterministic methodology to fold it with localized and prescribed distortions that may be more easily engineered. Finally, the chevron folding pattern is applied to the folding of a parabolic surface, which has a positive Gaussian curvature and is impossible to fold under standards models. With new mathematical descriptions, folding patterns are developed overcoming these packing obstructions for doubly-curved surfaces. These patterns are confirmed in models constructed from simple materials.
机译:本文研究了折叠的数学原理,以开发用于可展开空间结构的新颖包装方法。首先,扁平矩形阵列的替代折叠图案具有与z折叠等效的包装效率,而没有二次折叠带来的厚度累积问题。其次,将折痕的概念应用于确定性方法,将其应用于刚性圆柱体,使其具有可能更易于设计的局部变形和规定变形。最后,将人字形折叠图案应用于抛物面的折叠,该抛物面具有正的高斯曲率,并且在标准模型下无法折叠。通过新的数学描述,可以开发出折叠图案,以克服双重弯曲表面的这些堆积障碍。这些模式在由简单材料构造的模型中得到了证实。

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