title: Geometry and design of origami bellows with tunable response.
abstract: Origami folded cylinders (origami bellows) have found increasingly sophisticated applications in space flight and medicine. In spite of this interest, a general understanding of the mechanics of an origami folded cylinder has been elusive. With a newly developed set of geometrical tools, we have found an analytic solution for all possible cylindrical rigid-face states of both Miura-ori and triangular tessellations. Although an idealized bellows in both of these families may have two allowed rigid-face configurations over a well-defined region, the corresponding physical device, limited by nonzero material thickness and forced to balance hinge and plate-bending energy, often cannot stably maintain a stowed configuration. We have identified the parameters that control this emergent bistability, and we have demonstrated the ability to design and fabricate bellows with tunable deployability.
authors.affiliation: Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA.
authors.forename: Austin
authors.initials: A
authors.lastname: Reid
authors.affiliation: Laboratoire de Physique Statistique, Ecole Normale Supérieure, PSL Research University, CNRS, 24 rue Lhomond 75005 Paris, France.
authors.forename: Frederic
authors.initials: F
authors.lastname: Lechenault
authors.affiliation: Facultad de Ingeniería y Ciencias and UAI Physics Center, Universidad Adolfo Ibáñez, Avda. Diagonal las Torres 2640, Peñalolén, Santiago, Chile.
authors.forename: Sergio
authors.initials: S
authors.lastname: Rica
authors.affiliation: Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France.
authors.forename: Mokhtar
authors.initials: M
authors.lastname: Adda-Bedia