Abstract In this paper, we present a method for simulating the structural properties of curved-crease origami through the use of a simplified numerical method called the bar and hinge model. We derive stiffness expressions for three deformation behaviors including stretching of the sheet, bending of the sheet, and folding along the creases. The stiffness expressions are based on system parameters that a user knows before analysis, such as the material properties of the sheet and the geometry of the flat fold pattern. We show that the model is capable of capturing folding behavior of curved-crease origami structures accurately by comparing deformed shapes to other theoretical and experimental approximations of the deformations. The model is used to study the structural behavior of a creased annulus sector and an origami fan. These studies demonstrate the versatile capability of the bar and hinge model for exploring the unique mechanical characteristics of curved-crease origami. The simulation codes for curved-crease origami are provided with this paper.

中文翻译：

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用于弯曲折痕折纸结构分析的杆和铰链模型公式

摘要 在本文中，我们提出了一种通过使用称为杆铰模型的简化数值方法来模拟弯曲折痕折纸的结构特性的方法。我们推导出三种变形行为的刚度表达式，包括板的拉伸、板的弯曲和沿折痕折叠。刚度表达式基于用户在分析前已知的系统参数，例如板材的材料属性和平折图案的几何形状。我们表明，通过将变形形状与变形的其他理论和实验近似值进行比较，该模型能够准确地捕捉弯曲折痕折纸结构的折叠行为。该模型用于研究折痕环带扇形和折纸扇的结构行为。这些研究证明了杆和铰链模型在探索弯曲折痕折纸的独特机械特性方面的多功能能力。本文提供了曲线折痕折纸的仿真代码。