Rigid origami inspires new design technology in deployable structures with large deployable ratio due to the property of flat foldability. In this paper, we present a general kinematic model of rigid origami pattern and obtain a family of deployable prismatic structures. Basically, a four-crease vertex rigid origami pattern can be presented as a spherical 4R linkage, and the multivertex patterns are the assemblies of spherical linkages. Thus, this prismatic origami structure is modeled as a closed loop of spherical 4R linkages, which includes all the possible prismatic deployable structures consisting of quadrilateral facets and four-crease vertices. By solving the compatibility of the kinematic model, a new group of 2n-sided deployable prismatic structures with plane symmetric intersections is derived with multilayer, straight and curvy variations. The general design method for the 2n-sided multilayer deployable prismatic structures is proposed. All the deployable structures constructed with this method have single degree-of-freedom (DOF), can be deployed and folded without stretching or twisting the facets, and have the compactly flat-folded configuration, which makes it to have great potential in engineering applications.
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June 2016
Research-Article
Deployable Prismatic Structures With Rigid Origami Patterns
Sicong Liu,
Sicong Liu
School of Mechanical and
Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798, Singapore
Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798, Singapore
Search for other works by this author on:
Weilin Lv,
Weilin Lv
Key Laboratory of Mechanism Theory and
Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China;
Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China;
School of Mechanical Engineering,
Tianjin University,
Tianjin 300072, China
Tianjin University,
Tianjin 300072, China
Search for other works by this author on:
Yan Chen,
Yan Chen
Key Laboratory of Mechanism Theory and
Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China;
Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China;
School of Mechanical Engineering,
Tianjin University,
Tianjin 300072, China
e-mail: yan_chen@tju.edu.cn
Tianjin University,
Tianjin 300072, China
e-mail: yan_chen@tju.edu.cn
Search for other works by this author on:
Guoxing Lu
Guoxing Lu
Faculty of Science,
Engineering and Technology,
Swinburne University of Technology,
Hawthorn, VIC 3122, Australia
Engineering and Technology,
Swinburne University of Technology,
Hawthorn, VIC 3122, Australia
Search for other works by this author on:
Sicong Liu
School of Mechanical and
Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798, Singapore
Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798, Singapore
Weilin Lv
Key Laboratory of Mechanism Theory and
Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China;
Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China;
School of Mechanical Engineering,
Tianjin University,
Tianjin 300072, China
Tianjin University,
Tianjin 300072, China
Yan Chen
Key Laboratory of Mechanism Theory and
Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China;
Equipment Design of Ministry of Education,
Tianjin University,
Tianjin 300072, China;
School of Mechanical Engineering,
Tianjin University,
Tianjin 300072, China
e-mail: yan_chen@tju.edu.cn
Tianjin University,
Tianjin 300072, China
e-mail: yan_chen@tju.edu.cn
Guoxing Lu
Faculty of Science,
Engineering and Technology,
Swinburne University of Technology,
Hawthorn, VIC 3122, Australia
Engineering and Technology,
Swinburne University of Technology,
Hawthorn, VIC 3122, Australia
1Corresponding author.
Manuscript received June 5, 2015; final manuscript received October 22, 2015; published online March 7, 2016. Assoc. Editor: Larry L. Howell.
J. Mechanisms Robotics. Jun 2016, 8(3): 031002 (11 pages)
Published Online: March 7, 2016
Article history
Received:
June 5, 2015
Revised:
October 22, 2015
Citation
Liu, S., Lv, W., Chen, Y., and Lu, G. (March 7, 2016). "Deployable Prismatic Structures With Rigid Origami Patterns." ASME. J. Mechanisms Robotics. June 2016; 8(3): 031002. https://doi.org/10.1115/1.4031953
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