Origami-based Foldable Design Technique for Meandering Tubes by Using Conformal Transformation(Application)

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  • Ishida Sachiko
    Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University
  • Nojima Taketoshi
    Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University
  • Hagiwara Ichiro
    Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University

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Other Title
  • 等角写像変換を利用した折り畳み可能な湾曲した筒型構造設計法(応用)
  • 等角写像変換を利用した折り畳み可能な湾曲した筒型構造設計法
  • トウカク シャゾウ ヘンカン オ リヨウ シタ オリタタミ カノウ ナ ワンキョク シタ ツツガタ コウゾウ セッケイホウ

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Abstract

In this paper, a new technique is shown to design crease patterns of meandering tubes by conformal transformation used for a flow with a source in fluid dynamics. It enables to design flat-foldable structures, which can be folded up onto plane and deployed in space at will, systematically by controlling the minimum number of design parameters, with fold lines regularly placed. The structure obtained by the proposed method consists of front and back patterns and is flat-foldable along two different axes. It is a simple method effectively utilizing the characteristics of conformal transformation that easily controls angles between fold lines.

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