Foldability analysis of cylindrical origami structures

Abstract

© Springer International Publishing Switzerland 2016.This paper focuses on rigid foldability of the cylindrical origami with Kresling pattern. The theory of quaternion representing spatial fixed-point rotation and the rotating vector model were proposed by some researchers to obtain the quaternion rotation sequence method (QRS method) to study the foldability of origami, but the method is limited definitely and not suitable for cylindrical foldable structures. In order to solve the problem, the method was improved in this paper. The single-vertex origami model with six creases was firstly introduced and the motion of this origami pattern was studied. Then the QRS method is improved by taking the geometry relationship into consideration. The results show the cylindrical origami with Kresling pattern is not rigid foldable.