湾曲した筒の折り畳みモデル化

概要

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This paper presents modeling techniques for deployable meandering tubes with regular designs of fold lines, allowing cutting and removing parts of developed surface. First of all, a cylinder with constant curvature (i.e. a part of torus) is studied on the following conditions; Miura-fold pattern, bellows pattern and a pattern with six fold lines. These three patterns are able to provide deployable designs of fold lines on a developed surface of a part of torus which is approximated to a polyhedron. In addition, Miura-fold pattern and bellow pattern are able to connect with straight cylinders, since they still maintain substantially identical folding designs. Next, the theory is applied on a meandering tube constructed with different curvatures. Since the regularity of fold lines is still maintained, Miura-fold pattern and bellow pattern are able to provide deployable designs on the presupposition that the tube is made of sufficiently flexible material. Regularization of designs by this modeling can have advantages in standardization of product modules and simplification of manufacturing process in industry. Last, by using the conformal transformation, the deployable design is applied on a toroidal cone.
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