...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical Review X >Branches of Triangulated Origami Near the Unfolded State
【24h】

Branches of Triangulated Origami Near the Unfolded State

机译：三角形折纸的分支在展开状态附近

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Origami structures are characterized by a network of folds and vertices joining unbendable plates. For applications to mechanical design and self-folding structures, it is essential to understand the interplay between the set of folds in the unfolded origami and the possible 3D folded configurations. When deforming a structure that has been folded, one can often linearize the geometric constraints, but the degeneracy of the unfolded state makes a linear approach impossible there. We derive a theory for the second-order infinitesimal rigidity of an initially unfolded triangulated origami structure and use it to study the set of nearly unfolded configurations of origami with four boundary vertices. We find that locally, this set consists of a number of distinct “branches” which intersect at the unfolded state, and that the number of these branches is exponential in the number of vertices. We find numerical and analytical evidence that suggests that the branches are characterized by choosing each internal vertex to either “pop up” or “pop down.” The large number of pathways along which one can fold an initially unfolded origami structure strongly indicates that a generic structure is likely to become trapped in a “misfolded” state. Thus, new techniques for creating self-folding origami are likely necessary; controlling the popping state of the vertices may be one possibility.
机译：折纸结构的特征在于折叠和顶点的网络，连接可下滑的板。对于机械设计和自折叠结构的应用，必须了解展开折纸的折叠组和可能的3D折叠配置之间的相互作用。当变形已经折叠的结构时，可以通常可以线性化几何约束，但展开状态的退化性使得在那里是不可能的线性方法。我们推导了最初展开的三角形折纸结构的二阶无限刚度的理论，并使用它来研究具有四个边界顶点的折纸的几乎展开配置。我们在本地发现，该集合由许多不同的“分支”组成，这些“分支”在展开状态中交叉，并且这些分支的数量在顶点的数量中是指数的。我们发现数字和分析证据表明分支的特征是选择每个内部顶点，以“弹出”或“弹出”。沿着该通路最初折叠的大量途径强烈地表明通用结构可能被捕获在“错误的”状态下被困。因此，可能需要用于产生自折叠折纸的新技术;控制顶点的弹出状态可以是一种可能性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号