Parametric design of developable structure based on Yoshimura origami pattern
Origami is an ancient art form and can be divided into rigid and non-rigid origami. Rigid origami is suitable for the design of building structures because the panels are not twisted and deformed during the folding process. Currently, rigid origami structures are generally built with steel. However,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Sustainable Development Press Limited
2022-12-01
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| Series: | Sustainable Structures |
| Subjects: |
| _version_ | 1797948233070149632 |
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| author | Haolei Jiang Wen Liu Haoyu Huang Yiqin Wang |
| author_facet | Haolei Jiang Wen Liu Haoyu Huang Yiqin Wang |
| author_sort | Haolei Jiang |
| collection | DOAJ |
| description | Origami is an ancient art form and can be divided into rigid and non-rigid origami. Rigid origami is suitable for the design of building structures because the panels are not twisted and deformed during the folding process. Currently, rigid origami structures are generally built with steel. However, compared with natural, non-polluting wood, steel has a high energy consumption and a high environmental impact. Based on this situation, this paper designs a developable wooden building structure using the Yoshimura origami model. First, the Jacobian matrix method was used to analyze the degree of freedom of the basic unit of the Yoshimura origami pattern, following which the motion trajectory required by the target structure was obtained. Secondly, by analyzing the relationship between the plane angle α and dihedral angle θ, three interaction rules were obtained, and the formula for determining the structure size was established by using the plane angle α, dihedral angle θ, the number of valley folds n and the unit length l. Subsequently, two enhancement schemes, the quadrangle enhancement scheme and the triangle enhancement scheme, were proposed to increase the height of the structure. After comparing the deformation and failure types of origami structures based on Cross-Laminated Timber, a triangular reinforcement scheme was chosen to increase the height of the structure. Finally, a new connection method was developed that allowed the origami structure to be practically applied. This research demonstrates the possibility of developing a timber structure based on Yoshimura origami. |
| first_indexed | 2024-04-10T21:40:07Z |
| format | Article |
| id | doaj.art-3ba1c4af81e545fd87dac066c73c09d9 |
| institution | Directory Open Access Journal |
| issn | 2789-3111 2789-312X |
| language | English |
| last_indexed | 2024-04-10T21:40:07Z |
| publishDate | 2022-12-01 |
| publisher | Sustainable Development Press Limited |
| record_format | Article |
| series | Sustainable Structures |
| spelling | doaj.art-3ba1c4af81e545fd87dac066c73c09d92023-01-19T05:10:45ZengSustainable Development Press LimitedSustainable Structures2789-31112789-312X2022-12-0122000019-1000019-1410.54113/j.sust.2022.000019Parametric design of developable structure based on Yoshimura origami patternHaolei Jiang0Wen Liu1Haoyu Huang2Yiqin Wang3Department of Civil Engineering, Beijing Forestry UniversityDepartment of Civil Engineering, Beijing Forestry UniversitySchool of Engineering, Newcastle UniversityDepartment of Civil Engineering, Beijing Forestry UniversityOrigami is an ancient art form and can be divided into rigid and non-rigid origami. Rigid origami is suitable for the design of building structures because the panels are not twisted and deformed during the folding process. Currently, rigid origami structures are generally built with steel. However, compared with natural, non-polluting wood, steel has a high energy consumption and a high environmental impact. Based on this situation, this paper designs a developable wooden building structure using the Yoshimura origami model. First, the Jacobian matrix method was used to analyze the degree of freedom of the basic unit of the Yoshimura origami pattern, following which the motion trajectory required by the target structure was obtained. Secondly, by analyzing the relationship between the plane angle α and dihedral angle θ, three interaction rules were obtained, and the formula for determining the structure size was established by using the plane angle α, dihedral angle θ, the number of valley folds n and the unit length l. Subsequently, two enhancement schemes, the quadrangle enhancement scheme and the triangle enhancement scheme, were proposed to increase the height of the structure. After comparing the deformation and failure types of origami structures based on Cross-Laminated Timber, a triangular reinforcement scheme was chosen to increase the height of the structure. Finally, a new connection method was developed that allowed the origami structure to be practically applied. This research demonstrates the possibility of developing a timber structure based on Yoshimura origami.yoshimura origami pattern; degree of freedom; cross-laminated timber; structure deformation; enhancement scheme; connection hinge |
| spellingShingle | Haolei Jiang Wen Liu Haoyu Huang Yiqin Wang Parametric design of developable structure based on Yoshimura origami pattern Sustainable Structures yoshimura origami pattern; degree of freedom; cross-laminated timber; structure deformation; enhancement scheme; connection hinge |
| title | Parametric design of developable structure based on Yoshimura origami pattern |
| title_full | Parametric design of developable structure based on Yoshimura origami pattern |
| title_fullStr | Parametric design of developable structure based on Yoshimura origami pattern |
| title_full_unstemmed | Parametric design of developable structure based on Yoshimura origami pattern |
| title_short | Parametric design of developable structure based on Yoshimura origami pattern |
| title_sort | parametric design of developable structure based on yoshimura origami pattern |
| topic | yoshimura origami pattern; degree of freedom; cross-laminated timber; structure deformation; enhancement scheme; connection hinge |
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