论文标题
控制棱柱组件中的连通性和刚性
Control of connectivity and rigidity in prismatic assemblies
论文作者
论文摘要
我们如何操纵三维棱镜组装的拓扑连接，以控制内部自由度的数量和其中连接的组件的数量？为了在确定性的环境中回答这个问题，我们使用基本数字理论中的思想来为控制刚度和连通性的控制提供层次确定性协议。然后，我们证明，也可以使用随机协议通过渗透过渡实现相同的结果。这些方法共同提供了与规模无关的算法，用于切割或粘合三维棱镜组件，以控制其整体连通性和刚性。
How can we manipulate the topological connectivity of a three-dimensional prismatic assembly to control the number of internal degrees of freedom and the number of connected components in it? To answer this question in a deterministic setting, we use ideas from elementary number theory to provide a hierarchical deterministic protocol for the control of rigidity and connectivity. We then show that is possible to also use a stochastic protocol to achieve the same results via a percolation transition. Together, these approaches provide scale-independent algorithms for the cutting or gluing of three-dimensional prismatic assemblies to control their overall connectivity and rigidity.
