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Folding to Curved Surfaces: A Generalized Design Method and Mechanics of Origami-based Cylindrical Structures
Origami structures enrich the field of mechanical metamaterials with the ability to convert morphologically and systematically between two-dimensional (2D) thin sheets and three-dimensional (3D) spatial structures. In this study, an in-plane design method is proposed to approximate curved surfaces o...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5022034/ https://www.ncbi.nlm.nih.gov/pubmed/27624892 http://dx.doi.org/10.1038/srep33312 |
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author | Wang, Fei Gong, Haoran Chen, Xi Chen, C. Q. |
author_facet | Wang, Fei Gong, Haoran Chen, Xi Chen, C. Q. |
author_sort | Wang, Fei |
collection | PubMed |
description | Origami structures enrich the field of mechanical metamaterials with the ability to convert morphologically and systematically between two-dimensional (2D) thin sheets and three-dimensional (3D) spatial structures. In this study, an in-plane design method is proposed to approximate curved surfaces of interest with generalized Miura-ori units. Using this method, two combination types of crease lines are unified in one reprogrammable procedure, generating multiple types of cylindrical structures. Structural completeness conditions of the finite-thickness counterparts to the two types are also proposed. As an example of the design method, the kinematics and elastic properties of an origami-based circular cylindrical shell are analysed. The concept of Poisson’s ratio is extended to the cylindrical structures, demonstrating their auxetic property. An analytical model of rigid plates linked by elastic hinges, consistent with numerical simulations, is employed to describe the mechanical response of the structures. Under particular load patterns, the circular shells display novel mechanical behaviour such as snap-through and limiting folding positions. By analysing the geometry and mechanics of the origami structures, we extend the design space of mechanical metamaterials and provide a basis for their practical applications in science and engineering. |
format | Online Article Text |
id | pubmed-5022034 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-50220342016-09-20 Folding to Curved Surfaces: A Generalized Design Method and Mechanics of Origami-based Cylindrical Structures Wang, Fei Gong, Haoran Chen, Xi Chen, C. Q. Sci Rep Article Origami structures enrich the field of mechanical metamaterials with the ability to convert morphologically and systematically between two-dimensional (2D) thin sheets and three-dimensional (3D) spatial structures. In this study, an in-plane design method is proposed to approximate curved surfaces of interest with generalized Miura-ori units. Using this method, two combination types of crease lines are unified in one reprogrammable procedure, generating multiple types of cylindrical structures. Structural completeness conditions of the finite-thickness counterparts to the two types are also proposed. As an example of the design method, the kinematics and elastic properties of an origami-based circular cylindrical shell are analysed. The concept of Poisson’s ratio is extended to the cylindrical structures, demonstrating their auxetic property. An analytical model of rigid plates linked by elastic hinges, consistent with numerical simulations, is employed to describe the mechanical response of the structures. Under particular load patterns, the circular shells display novel mechanical behaviour such as snap-through and limiting folding positions. By analysing the geometry and mechanics of the origami structures, we extend the design space of mechanical metamaterials and provide a basis for their practical applications in science and engineering. Nature Publishing Group 2016-09-14 /pmc/articles/PMC5022034/ /pubmed/27624892 http://dx.doi.org/10.1038/srep33312 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Wang, Fei Gong, Haoran Chen, Xi Chen, C. Q. Folding to Curved Surfaces: A Generalized Design Method and Mechanics of Origami-based Cylindrical Structures |
title | Folding to Curved Surfaces: A Generalized Design Method and Mechanics of Origami-based Cylindrical Structures |
title_full | Folding to Curved Surfaces: A Generalized Design Method and Mechanics of Origami-based Cylindrical Structures |
title_fullStr | Folding to Curved Surfaces: A Generalized Design Method and Mechanics of Origami-based Cylindrical Structures |
title_full_unstemmed | Folding to Curved Surfaces: A Generalized Design Method and Mechanics of Origami-based Cylindrical Structures |
title_short | Folding to Curved Surfaces: A Generalized Design Method and Mechanics of Origami-based Cylindrical Structures |
title_sort | folding to curved surfaces: a generalized design method and mechanics of origami-based cylindrical structures |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5022034/ https://www.ncbi.nlm.nih.gov/pubmed/27624892 http://dx.doi.org/10.1038/srep33312 |
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