Rapid Deployment of Curved Surfaces via Programmable Auxetics
Rapid Deployment of Curved Surfaces via Programmable Auxetics
复制标题
DOI：
10.1145/3197517.3201373
复制
发表时间：
2018-08-01
影响因子：
6.2
通讯作者：
Pauly, Mark
中科院分区：
文献类型：
--
作者：
Konakovic-Lukovic, Mina;Panetta, Julian;Pauly, Mark
可展开结构是可以在两个或更多几何配置之间轻松转换的物理机制；这样的结构使工业、科学和消费应用能够在各种规模上实现。本文开发了一种新颖的可展开结构，这种结构可以近似于一大类双曲面，并且可以通过充气或重力加载从平坦的初始状态很容易地驱动。这些结构基于二维刚性机械连杆，通过用户可编程的图案隐含地编码目标形状的曲率，允许在载荷下进行局部各向同性缩放。我们明确地刻画了这种结构可以实现的形状--特别地，我们证明了它们可以逼近相对于给定参考域具有正平均曲率和有界尺度失真的目标曲面。基于这一观察结果，我们开发了有效的计算设计算法来逼近给定的输入几何。由此产生的设计可以通过激光切割、数控铣削或3D打印等数字制造技术快速制造。我们通过一系列物理原型验证我们的方法，并提供了几个应用案例研究，从外科植入物到大规模可部署架构。
Deployable structures are physical mechanisms that can easily transition between two or more geometric configurations; such structures enable industrial, scientific, and consumer applications at a wide variety of scales. This paper develops novel deployable structures that can approximate a large class of doubly-curved surfaces and are easily actuated from a flat initial state via inflation or gravitational loading. The structures are based on two-dimensional rigid mechanical linkages that implicitly encode the curvature of the target shape via a user-programmable pattern that permits locally isotropic scaling under load. We explicitly characterize the shapes that can be realized by such structures-in particular, we show that they can approximate target surfaces of positive mean curvature and bounded scale distortion relative to a given reference domain. Based on this observation, we develop efficient computational design algorithms for approximating a given input geometry. The resulting designs can be rapidly manufactured via digital fabrication technologies such as laser cutting, CNC milling, or 3D printing. We validate our approach through a series of physical prototypes and present several application case studies, ranging from surgical implants to large-scale deployable architecture.