Tendon placement generation rules for folding transformation into multiple shapes

The purpose of this research is to suggest tendon placement generation rules for folding transformation into multiple shapes. As a method to propose how to generate tendon placement, a method combining trial production, geometric interpretation, and algorithm development was used. Firstly, trial pro...

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Main Authors: Riko TSUBOI, Toshio MORITA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2020-06-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/86/887/86_19-00147/_pdf/-char/en
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author Riko TSUBOI
Toshio MORITA
author_facet Riko TSUBOI
Toshio MORITA
author_sort Riko TSUBOI
collection DOAJ
description The purpose of this research is to suggest tendon placement generation rules for folding transformation into multiple shapes. As a method to propose how to generate tendon placement, a method combining trial production, geometric interpretation, and algorithm development was used. Firstly, trial production and its analysis were carried out. As a result, it was found to be possible to drive consecutive folding operations and to drive the folding transformation into multiple shapes from the same panel by using the method that the tendon was penetrated the overlapping of plates in the shape after the folding transformation. And the rule that tendon placement can be generated by repeating primary transformation of starting point of tendon placement was extracted. Secondly, tendon placement generation algorithm based on the tendon placement generation rules, and state transition diagram generation algorithm were developed. Thirdly, experimenting the motion of the panels with tendon placement generated by the algorithm mounted, the operation of the algorithm was confirmed and the behavior of the panels was investigated. Finally, by examining the experimental results, the effective range of the algorithm was found to be folding transformation composed of up to two folding operations. From this, it was found that the applicable range of the extracted rules were folding transformation composed of up to two folding operations. By referring trial tendon placement generated for folding transformation composed of three folding operations, rules were modified. Therefore, it turned out that driving of the origami panel using the discovered tendon placement was realized by the mechanism of bringing all overlapping points closer by pulling the tendon, and the extracted rules were found to be effective for realizing driving of folding transformation from the same panel into multiple shapes.
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spelling doaj.art-e70bb578dd5e40f5afc809c32cbdea9f2022-12-22T04:35:12ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612020-06-018688719-0014719-0014710.1299/transjsme.19-00147transjsmeTendon placement generation rules for folding transformation into multiple shapesRiko TSUBOI0Toshio MORITA1School of Integrated Design Engineering, Keio UniversityDepartment of Mechanical Engineering, Keio UniversityThe purpose of this research is to suggest tendon placement generation rules for folding transformation into multiple shapes. As a method to propose how to generate tendon placement, a method combining trial production, geometric interpretation, and algorithm development was used. Firstly, trial production and its analysis were carried out. As a result, it was found to be possible to drive consecutive folding operations and to drive the folding transformation into multiple shapes from the same panel by using the method that the tendon was penetrated the overlapping of plates in the shape after the folding transformation. And the rule that tendon placement can be generated by repeating primary transformation of starting point of tendon placement was extracted. Secondly, tendon placement generation algorithm based on the tendon placement generation rules, and state transition diagram generation algorithm were developed. Thirdly, experimenting the motion of the panels with tendon placement generated by the algorithm mounted, the operation of the algorithm was confirmed and the behavior of the panels was investigated. Finally, by examining the experimental results, the effective range of the algorithm was found to be folding transformation composed of up to two folding operations. From this, it was found that the applicable range of the extracted rules were folding transformation composed of up to two folding operations. By referring trial tendon placement generated for folding transformation composed of three folding operations, rules were modified. Therefore, it turned out that driving of the origami panel using the discovered tendon placement was realized by the mechanism of bringing all overlapping points closer by pulling the tendon, and the extracted rules were found to be effective for realizing driving of folding transformation from the same panel into multiple shapes.https://www.jstage.jst.go.jp/article/transjsme/86/887/86_19-00147/_pdf/-char/enorigamifolding transformationmultiple shapestendon drivetendon placementalgorithm
spellingShingle Riko TSUBOI
Toshio MORITA
Tendon placement generation rules for folding transformation into multiple shapes
Nihon Kikai Gakkai ronbunshu
origami
folding transformation
multiple shapes
tendon drive
tendon placement
algorithm
title Tendon placement generation rules for folding transformation into multiple shapes
title_full Tendon placement generation rules for folding transformation into multiple shapes
title_fullStr Tendon placement generation rules for folding transformation into multiple shapes
title_full_unstemmed Tendon placement generation rules for folding transformation into multiple shapes
title_short Tendon placement generation rules for folding transformation into multiple shapes
title_sort tendon placement generation rules for folding transformation into multiple shapes
topic origami
folding transformation
multiple shapes
tendon drive
tendon placement
algorithm
url https://www.jstage.jst.go.jp/article/transjsme/86/887/86_19-00147/_pdf/-char/en
work_keys_str_mv AT rikotsuboi tendonplacementgenerationrulesforfoldingtransformationintomultipleshapes
AT toshiomorita tendonplacementgenerationrulesforfoldingtransformationintomultipleshapes