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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: New Approaches, Materials & Construction Methods

Multi-transformable and Non-Rigidly Folding of Kresling Cylindrical Origami

< Table of Contents for New Approaches, Materials & Construction Methods
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: New Approaches, Materials & Construction Methods
  • Pages: 10
  • Title: Multi-transformable and Non-Rigidly Folding of Kresling Cylindrical Origami
  • Author(s): Ruijun Ma, Jianguo Cai, Jian Feng, Ya Zhou
  • Keywords: origami, multi-transformable, cylinder, rigid foldability, deployable/foldable structures
Abstract
Rigid origami is seen as a fundamental model in many self-folding machines. A key issue in design rigid origami is the foldability. The kinematic and foldability of Kresling origami, which based on an origami pattern of the vertex with six creases, are studied in this paper. The description of the movement of the single-vertex is firstly discussed. Based on the quaternion rotation sequence method (QRS method), the loop-closure equation of the vertex with six creases is obtained. Then the multi-transformable behavior of the single vertex is investigated. Furthermore, the rigid foldability of origami patterns with multi-vertex are investigated with an improved dual quaternion method, which is based on the checking of the folding angle and the coordinates of all vertices. It can be found that the Kresling cylinder is not rigidly foldable.

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