A diamond origami pattern is a well-known origami pattern consisting of identical six-crease vertices. As each vertex can be modeled as a spherical 6R linkage with three degrees of freedom (DOF), the tessellated pattern with multiple vertices is a multi-DOF system, which makes it difficult to fully control the motion in the desired symmetric manner. Here, two splitting schemes on the diamond vertex are proposed to generate three types of unit patterns to reduce the DOF. This vertex-splitting technique is applied to the multivertex diamond origami pattern to produce several one-DOF basic assemblies, which form a number of one-DOF origami patterns. Two of the one-DOF origami patterns are discussed: one of which is a flat-foldable origami pattern mixed with four- and six-crease vertices and the other is a nonflat-foldable one mixed with four-, five-, and six-crease vertices. In the one-DOF patterns, the symmetrically kinematic property of the original diamond origami pattern is well kept. Such property would significantly facilitate engineering applications comparing to the multi-DOF origami patterns. It also paves a new road to construct one-DOF origami patterns.
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June 2019
Research-Article
Vertex-Splitting on a Diamond Origami Pattern
Xiao Zhang,
Xiao Zhang
School of Mechanical Engineering,
Department of Mechanical Engineering,
Tianjin 300072,
Department of Mechanical Engineering,
Tianjin University
,Tianjin 300072,
China
;Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education,
Tianjin 300354,
e-mail: zhangxiaofun@tju.edu.cn
Tianjin University
,Tianjin 300354,
China
e-mail: zhangxiaofun@tju.edu.cn
Search for other works by this author on:
Yan Chen
Yan Chen
1
School of Mechanical Engineering,
Department of Mechanical Engineering,
Tianjin 300072,
Department of Mechanical Engineering,
Tianjin University
,Tianjin 300072,
China
;Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education,
Tianjin 300354,
e-mail: yan_chen@tju.edu.cn
Tianjin University
,Tianjin 300354,
China
e-mail: yan_chen@tju.edu.cn
1Corresponding author.
Search for other works by this author on:
Xiao Zhang
School of Mechanical Engineering,
Department of Mechanical Engineering,
Tianjin 300072,
Department of Mechanical Engineering,
Tianjin University
,Tianjin 300072,
China
;Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education,
Tianjin 300354,
e-mail: zhangxiaofun@tju.edu.cn
Tianjin University
,Tianjin 300354,
China
e-mail: zhangxiaofun@tju.edu.cn
Yan Chen
School of Mechanical Engineering,
Department of Mechanical Engineering,
Tianjin 300072,
Department of Mechanical Engineering,
Tianjin University
,Tianjin 300072,
China
;Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education,
Tianjin 300354,
e-mail: yan_chen@tju.edu.cn
Tianjin University
,Tianjin 300354,
China
e-mail: yan_chen@tju.edu.cn
1Corresponding author.
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the Journal of Mechanisms and Robotics. Manuscript received December 4, 2018; final manuscript received March 4, 2019; published online April 11, 2019. Assoc. Editor: Xianwen Kong.
J. Mechanisms Robotics. Jun 2019, 11(3): 031014 (12 pages)
Published Online: April 11, 2019
Article history
Received:
December 4, 2018
Revision Received:
March 4, 2019
Accepted:
March 8, 2019
Citation
Zhang, X., and Chen, Y. (April 11, 2019). "Vertex-Splitting on a Diamond Origami Pattern." ASME. J. Mechanisms Robotics. June 2019; 11(3): 031014. https://doi.org/10.1115/1.4043214
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