Affiliation:
1. Department of Engineering, University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, U.K.
Abstract
This study was inspired by a model of a triangulated cylindrical shell made by C. R. Calladine during an investigation of the mechanics of biological structures. The model consisted of identical triangular panels on a helical strip and had a small-displacement internal inextensional mechanism. It is shown that many triangulated cylinders broadly similar to Calladine’s model can be folded down to a compact stack of plates: only small strains, whose magnitude can be made arbitrarily small by the choice of suitable design parameters, are imposed during folding. A general geometric formulation of the problem is presented and then, assuming that the folding process is uniform, the folding properties of any triangulated cylinder of this generic type are discussed.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
122 articles.
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