Origami Multistabilty: From Single Vertices to Metasheets

Abstract

We explore the surprisingly rich energy landscape of origami-like folding planar structures. We show that the configuration space of rigid-paneled degree-4 vertices, the simplest building blocks of such systems, consists of at least two distinct branches meeting at the flat state. This suggests that generic vertices are at least bistable, but we find that the nonlinear nature of these branches allows for vertices with as many as five distinct stable states. In vertices with collinear folds and/or symmetry, more branches emerge leading to up to six stable states. Finally, we introduce a procedure to tile arbitrary 4-vertices while preserving their stable states, thus allowing the design and creation of multistable origami metasheets.

For supplemental movies please visit http://www.lorentz.leidenuniv.nl/~chen/multisheets

References in corpus (6)

• Topological Boundary Modes in Isostatic Lattices
• Programmable Mechanical Metamaterials
• Mechanical Metamaterials with Negative Compressibility Transitions
• Nonlinear conduction via solitons in a topological mechanical insulator
• Geometric Mechanics of Curved Crease Origami
• The mechanical response of a creased sheet

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