超越折痕几何：通过局部折叠架构实现折纸启发结构中的多稳态性
Beyond Crease Geometry: Multistability in Origami-Inspired Structures through Local Fold Architectures
- Faculty of Mechanical Engineering, Technion–Israel Institute of Technology（以色列理工学院机械工程学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出通过局部折叠架构引入局部不稳定性，超越折痕几何，建立从局部到全局的设计原则，以编程折纸启发结构的多稳态构型与转变路径，扩展多稳态超材料与软体机器人设计空间。
AI中文摘要：
折纸启发的管状结构为形状变形提供了通用平台，其多稳态性主要通过折痕网络的几何形状实现。因此，扩展变形行为的范围可能需要越来越复杂的折痕图案，这些图案更难以建模和制造，最终限制了可实现的变形景观。在此，我们通过引入折痕网络内的局部不稳定性，将折纸启发结构的设计空间扩展到几何之外，从而创建柔顺的多稳态结构，其局部折叠架构通过本构力学和几何约束共同控制全局变形和稳定性。为了将局部折叠架构与全局多稳态性联系起来，我们开发并实验验证了一个建模框架，其中柔顺折叠被表示为连续场，以捕捉空间变化的双稳态力学。力和位移控制的设计图谱表明，全局变形和稳定性可以通过折叠架构的局部参数进行编程。在固定折痕网络拓扑内重新分配双稳态性，可将全局响应从半双稳态架构中的柔顺、空间分布变形，转变为完全双稳态架构中层级组织的稳定构型空间内的离散转变。这些结果建立了从局部到全局的设计原则，用于编程结构的稳定构型及连接它们的转变路径，扩展了多稳态超材料、自适应变形结构和软体机器人系统的设计空间。
英文摘要：
Origami-inspired tubular structures provide a versatile platform for shape morphing, with multistability achieved predominantly through crease-network geometry. Expanding the range of morphing behaviors can therefore require increasingly intricate crease patterns that become more difficult to model and fabricate, ultimately constraining the realizable morphing landscape. Here, we expand the design space of origami-inspired structures beyond geometry by introducing localized instabilities within the crease network, thereby creating compliant multistable structures whose local fold architectures govern global deformation and stability through both constitutive mechanics and geometric constraints. To relate local fold architectures to global multistability, we develop and experimentally validate a modeling framework in which compliant folds are represented as continuous fields that capture spatially varying bistable mechanics. Force- and displacement-controlled design maps demonstrate that global deformation and stability can be programmed through the fold architecture's local parameters. Redistributing bistability within a fixed crease-network topology shifts the global response between compliant, spatially distributed deformation in semi-bistable architectures and discrete transitions within a hierarchically organized space of stable configurations in fully bistable architectures. These results establish a local-to-global design principle for programming both the stable configurations of a structure and the transition pathways connecting them, expanding the design space for multistable metamaterials, adaptive morphing structures, and soft robotic systems.
