A Closed-form Solution for the Kinematics of Asymmetric Miura Vertices

Asymmetric Multi-Stability from Relaxing the Rigid-Folding Conditions in a Stacked Miura-ori Cellular Solid

Traditionally, origami has been categorized into two groups according to their kinematics design: rigid and non-rigid origami. However, such categorization can be superficial, and rigid origami can obtain new mechanical properties by intentionally relaxing the rigid-folding kinematics. Based on numerical simulations using the bar-hinge approach and experiments, this study examines the multi-stability of a stacked Miura-origami cellular structure with different levels of facet compliance. The simulation and experiment results show that a unit cell in such cellular solid exhibits only two stable…

Large Impact of Small Vertex Cuts on the Mechanics of Origami Bellows

For origami structures, perforating or cutting slits along creases is an effective method to define fold lines and alleviate stress concentrations at vertices. In this letter we show numerically and experimentally that for non-rigid-foldable origami bellows (e.g. Miura-ori, Kresling patterns) the introduction of small cut-outs at the vertices results in up to an order of magnitude reduction of the bellows' stiffness under axial compression. Further, the cut-outs at vertices impact the nonlinear response, e.g. the position and magnitude of a force limit point and presence of bistable configurat…

通过运动学转变前沿编程折纸的顺序展开

Programming sequential deployment of origami via kinematic transition fronts

本文提出基于异宿轨道对应关系的运动学转变前沿设计框架，通过非对称耦合实现折纸多米诺式顺序展开，并独立编程宏观形状。