A geometry-based framework for modeling the complexity of origami folding

• 作者: Samuel Schulman Xin Ning
• 来源期刊: 力学快报（英文版）
• 年，卷（期）: 2021,（3）
• 所属期刊栏目: Solid Mechanics
• 页码范围: 115-124
• 页数: 10页
• 语种: 英文
• DOI: 10.3969/j.issn.2095-0349.2021.03.001

摘要

This paper presents a quantitative framework to analyze the complexity of folding origami structures from flat membranes. Extensive efforts have realized intricate origami patterns with desired functions such as mechanical properties, packaging e?ciency, and deployment behavior. However, the complexity associated with the manufacturing or folding of origami patterns has not been explored. Understanding how di?cult origami structures are to make, and how much time they require to form is crucial infor- mation to determining the practical feasibility of origami designs and future applications such as robotic origami assembly in space. In this work, we develop this origami complexity metric by modeling the geo- metric properties and crease formation of the origami structure, from which it outputs crease and pattern complexity values and a prediction of the time to complete the pattern assembly, based on the character- istics of the operator. The framework is experimentally validated by fabricating various Miura-ori origami paper models.