Folding behaviour of Tachi–Miura polyhedron bellows

In this paper, we examine the folding behaviour of Tachi–Miura polyhedron (TMP) bellows made of paper, which is known as a rigid-foldable structure, and construct a theoretical model to predict the mechanical energy associated with the compression of TMP bellows, which is compared with the experimen...

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Bibliographic Details
Published in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2013-11, Vol.469 (2159), p.1-18
Main Authors: Yasuda, Hiromi, Yein, Thu, Tachi, Tomohiro, Miura, Koryo, Taya, Minoru
Format: Article
Language:English
Subjects:
Bellows
Bending
Cell lines
Energy dissipation
Experimental data
Main lines
Origami
Paper folding
Polyhedrons
Vertices
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Summary:In this paper, we examine the folding behaviour of Tachi–Miura polyhedron (TMP) bellows made of paper, which is known as a rigid-foldable structure, and construct a theoretical model to predict the mechanical energy associated with the compression of TMP bellows, which is compared with the experimentally measured energy, resulting in the gap between the mechanical work by the compression force and the bending energy distributed along all the crease lines. The extended Hamilton's principle is applied to explain the gap which is considered to be energy dissipation in the mechanical behaviour of TMP bellows.
ISSN:1364-5021