Shaping the topology of folding pathways in mechanical systems.
Shaping the topology of folding pathways in mechanical systems.
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DOI：
10.1038/s41467-018-06720-1
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发表时间：
2018-10-16
影响因子：
16.6
通讯作者：
Murugan A
中科院分区：
文献类型：
--
作者：
Stern M;Jayaram V;Murugan A
无序力学系统，当强烈变形时，具有复杂的配置空间，具有多个稳定状态和连接它们的路径。这种路径的拓扑结构决定了哪些状态可以从组态空间的任何部分平滑地访问。控制这种拓扑结构将使我们能够限制对不期望的状态的访问，并在超材料中选择期望的行为。在这里，我们表明，这种途径的拓扑结构，如捕获的分叉图，可以调整使用不完善，如刚性铰链在弹性网络和折痕薄片。我们推导出设计理想的通路拓扑结构的线性规划方程。这些想法被应用于消除指数许多方式的错误折叠自折叠表，使一些折痕比其他人更硬。我们的方法允许强大的折叠整个类的外部折叠力。最后，我们发现，分叉图使通路仅在特定的折叠速度，使速度依赖的选择不同的折叠状态。自折叠折纸在机械超材料中有应用，但它们的缺陷之一是存在许多不期望的折叠模式。在这里，作者提出了一种算法，以确定哪些折叠关节，使刚度，以确保该表被折叠到选定的状态。
Disordered mechanical systems, when strongly deformed, have complex configuration spaces with multiple stable states and pathways connecting them. The topology of such pathways determines which states are smoothly accessible from any part of configuration space. Controlling this topology would allow us to limit access to undesired states and select desired behaviors in metamaterials. Here, we show that the topology of such pathways, as captured by bifurcation diagrams, can be tuned using imperfections such as stiff hinges in elastic networks and creased thin sheets. We derive Linear Programming-like equations for designing desirable pathway topologies. These ideas are applied to eliminate the exponentially many ways of misfolding self-folding sheets by making some creases stiffer than others. Our approach allows robust folding by entire classes of external folding forces. Finally, we find that the bifurcation diagram makes pathways accessible only at specific folding speeds, enabling speed-dependent selection of different folded states. Self-folding origami have applications for mechanical metamaterials but one of their pitfalls is that many undesirable folding modes exist. Here the authors propose an algorithm to determine which folding joints to make stiffer in order to ensure that the sheet is folded into the chosen state.
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影响因子：
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DOI：
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发表时间：
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影响因子：
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