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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Published inProceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 469; no. 2159; p. 20130351
Main Authors Yasuda, Hiromi, Yein, Thu, Tachi, Tomohiro, Miura, Koryo, Taya, Minoru
Format Journal Article
LanguageEnglish
Published England 08.11.2013
Subjects
origami
energy dissipation
extended Hamilton's principle
Miura-ori
Tachi–Miura polyhedron
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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
DOI:10.1098/rspa.2013.0351