Generalizing rigid-foldable tubular structures of T-hedral type

Kiumars Sharifmoghaddam; Rupert Maleczek; Georg Nawratil

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arXiv · 2301.09969

Generalizing rigid-foldable tubular structures of T-hedral type

Kiumars Sharifmoghaddam·Rupert Maleczek·Georg Nawratil

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Abstract

We introduce an alternative way of constructing continuous flexible tubes and tubular structures based on a discrete, semi-discrete and smooth construction of surfaces known as T-hedra in the discrete case and profile-affine surfaces in the smooth setting, respectively. The geometric understanding of this method enables us to generalize discrete tubes with a rigid-foldability and to extend the construction to smooth and semi-discrete tubes with an isometric deformation. This achievement implies a unified treatment of continuous flexible structures, like surfaces and metamaterials, composed of tubes and it is the base for a deeper study of zipper tubes, and their generalization. Moreover, we discuss a potential application of the presented structures for the design of foldable bridges.

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Kiumars Sharifmoghaddam, Rupert Maleczek, Georg Nawratil. 2023-01-24. Generalizing rigid-foldable tubular structures of T-hedral type. https://arxiv.org/abs/2301.09969

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