Deployment Dynamics of Miura Origami Sheets
Deployment Dynamics of Miura Origami Sheets
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DOI：
10.1115/1.4054109
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发表时间：
2022-07-01
影响因子：
2
通讯作者：
Wang，K. W.
中科院分区：
文献类型：
--
作者：
Xia，Yutong;Kidambi，Narayanan;Wang，K. W.
折纸在创建可展开结构方面具有巨大潜力，然而，大多数研究都集中在其静态或运动学特征上，而折纸展开过程中复杂但重要的动态行为在很大程度上仍未得到探索。在这项研究中，我们构建了 Miura 折纸片的动态模型，该模型捕获组合面板惯性和灵活性效应，这些效应在刚性折叠运动模型中被忽略，但对于描述折纸展开的动态至关重要。结果表明，考虑到这些影响，动态展开行为将大大偏离标称运动学展开路径。此外，图案几何形状会影响有效的结构刚度，并且研究表明，细微的变化可能会导致动态部署行为发生质的不同。这些差异是由于 Miura 折纸片的多稳定性造成的，在瞬态部署过程中，结构可能会在其稳定平衡之间突然断裂。最后，我们表明改变部署速率会影响动态部署配置。这些观察结果是原创的，这些现象没有也不可能使用传统方法得出。这项研究开发的工具和成果使我们能够更深入地了解折纸部署背后的物理原理，这将为更好地设计基于折纸的可部署结构铺平道路，并扩展我们的基础知识并将我们的舒适区扩展到当前实践之外。
Origami has great potential for creating deployable structures, however, most studies have focused on their static or kinematic features, while the complex and yet important dynamic behaviors of the origami deployment process have remained largely unexplored. In this research, we construct a dynamic model of a Miura origami sheet that captures the combined panel inertial and flexibility effects, which are otherwise ignored in rigid folding kinematic models but are critical in describing the dynamics of origami deployment. Results show that by considering these effects, the dynamic deployment behavior would substantially deviate from a nominal kinematic unfolding path. Additionally, the pattern geometries influence the effective structural stiffness, and it is shown that subtle changes can result in qualitatively different dynamic deployment behaviors. These differences are due to the multistability of the Miura origami sheet, where the structure may snap between its stable equilibria during the transient deployment process. Lastly, we show that varying the deployment rate can affect the dynamic deployment configuration. These observations are original and these phenomena have not and cannot be derived using traditional approaches. The tools and outcomes developed from this research enable a deeper understanding of the physics behind origami deployment that will pave the way for better designs of origami-based deployable structures, as well as extend our fundamental knowledge and expand our comfort zone beyond current practice.