THE FOLDING OF TRIANGULATED CYLINDERS .1. GEOMETRIC CONSIDERATIONS

Citation
Sd. Guest et S. Pellegrino, THE FOLDING OF TRIANGULATED CYLINDERS .1. GEOMETRIC CONSIDERATIONS, Journal of applied mechanics, 61(4), 1994, pp. 773-777
Citations number
8
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
Journal title
ISSN journal
0021-8936
Volume
61
Issue
4
Year of publication
1994
Pages
773 - 777
Database
ISI
SICI code
0021-8936(1994)61:4<773:TFOTC.>2.0.ZU;2-B
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 b iological structures. The model consisted of identical triangular pane ls on a helical strip and had a small-displacement internal inextensio nal mechanism. It is shown that many triangulated cylinders broadly si milar to Calladine's model can be folded down to a compact stack of pl ates: only small strains, whose magnitude can be made arbitrarily smal l by the choice of suitable design parameters, are imposed during fold ing. A general geometric formulation of the problem is presented and t hen, assuming that the folding process is uniform, the folding propert ies of any triangulated cylinder of this generic type are discussed.