Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Origami-based Foldable Design Technique for Meandering Tubes by Using Conformal Transformation(Application)
Sachiko IshidaTaketoshi NojimaIchiro Hagiwara
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2014 Volume 24 Issue 1 Pages 43-58

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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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© 2014 The Japan Society for Industrial and Applied Mathematics
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