The Folding of Triangulated Cylinders, Part I: Geometric Considerations

[+] Author and Article Information
S. D. Guest, S. Pellegrino

Department of Engineering, University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, U.K.

J. Appl. Mech 61(4), 773-777 (Dec 01, 1994) (5 pages) doi:10.1115/1.2901553 History: Received August 13, 1992; Revised April 27, 1993; Online March 31, 2008


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.

Copyright © 1994 by The American Society of Mechanical Engineers
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