We propose a novel computational framework for modeling and simulating origami structures. In this framework, bilinear solid-shell elements are employed to model the origami panels while crease folding is considered through the angle between the director vectors of the adjacent panels. The director vector is the vector normal to the mid-surface before displacement/deformation comes in. To mitigate locking issues in the solid-shell element, we introduce the assumed natural strain method. To validate the effectiveness of our framework, we conduct origami simulations involving both straight- and curved-creases. The accuracy and efficacy of the framework are demonstrated through quantitative and qualitative analyses.
翻译:本文提出了一种用于折纸结构建模与仿真的新型计算框架。该框架采用双线性实体壳单元对折纸面板进行建模,同时通过相邻面板间导向矢量的夹角来考虑折痕折叠。导向矢量是在位移/变形发生前垂直于中面的矢量。为缓解实体壳单元中的闭锁问题,我们引入了假定自然应变法。为验证本框架的有效性,我们进行了包含直折痕与曲折痕的折纸仿真。通过定量与定性分析,证明了该框架的准确性与高效性。