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

[+] Author and Article Information
Cai Jianguo

ASME Member Key Lab. of C & PC Structures of Ministry of Education, National Prestress Engineering Research Center, Southeast University Si Pai Lou 2#, Nanjing, China

Liu Yangqing

School of Civil Engineering, Southeast University, China

Ma Ruijun

School of Civil Engineering, Southeast University, China

Feng Jian

School of Civil Engineering, Southeast University, China

Zhou Ya

Wuxi Architectural Design & Research Institute Co. Ltd, Wuxi, Jiangsu, China

1Corresponding author.

ASME doi:10.1115/1.4036738 History: Received August 01, 2016; Revised April 26, 2017


Rigid origami is seen as a fundamental model in many self-folding machines. A key issue in designing origami is the rigid/non-rigid foldability. The kinematic and foldability of Kresling origami, which is based on an origami pattern of the vertex with six creases, are studied in this paper. The movement of the single-vertex is firstly discussed. Based on the quaternion 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 studying 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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