刚性折纸III的局部刚度分析
On rigid origami III: local rigidity analysis
摘要：
从刚性理论的角度对刚性折纸进行了分析。通过对一致性约束的局部微分分析，定义了结构的一阶和二阶刚度;通过确定内力和荷载的形式，定义了结构的静刚度和预应力稳定。本文将说明，一阶或静态刚度意味着预应力稳定性，这意味着二阶刚度，这意味着刚性，但这些都是不可逆的。给出了具有这些不同类型刚性的刚性折纸结构的示例。研究折纸刚性的不同方面可能会为开发新的折叠模式或设计需要一定刚性的折纸结构提供一个新的视角。
英文摘要：
Rigid origami is examined from the perspective of rigidity theory. First and second order rigidity are defined from local differential analysis of the consistency constraint; while the static rigidity and prestress stability are defined after finding the form of internal force and load. This article will show that first-order or static rigidity implies prestress stability, which implies second-order rigidity, which implies rigidity, but none of these is reversible. Examples are given of rigid origami structures with these different kinds of rigidity. Examining the different aspects of the rigidity of origami might give a novel perspective for the development of new folding patterns, or for the design of origami structures where some rigidity is required.
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