论文标题
关于刚性折纸III：局部刚性分析
On rigid origami III: local rigidity analysis
论文作者
论文摘要
从刚性理论的角度研究了刚性折纸。第一阶和二阶刚性是根据一致性约束的局部差分分析来定义的。在找到内力和负载的形式后，定义了静态刚度和预应力的稳定性。本文将表明，一阶或静态刚性意味着预应力的稳定性，这意味着二阶刚性，这意味着刚性，但这些都不是可逆的。举例说明了具有这些不同种类的刚性的刚性折纸结构。检查折纸刚性的不同方面可能会为开发新的折叠模式或需要某些刚性的折纸结构的设计提供新的观点。
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.
