Origami structures have attracted considerable attention from engineering and science fields, and a variety of numerical methods have been proposed for analysis of this kind of structure. Most of the origami-related numerical studies focus on the static or quasi-static analysis of the folding process. However, the dynamic unfolding of origami triggered by the energy stored in the creases could provide us more insight about the origami intrinsic properties. In this study, we propose a dynamic analysis framework in which the particle-bar-spring model and finite particle method are combined. The proposed method can be used in the dynamic analysis of general origami structures, regardless of whether the structure is rigid or non-rigid, and regardless of whether the structure has a single degree of freedom (DOF) or multiple DOFs. The dynamic unfolding process of a simple origami fold, a six-crease waterbomb tube pattern, a Miura pattern, and a quadrangular Resch pattern are simulated and analyzed. The energy analysis of the four patterns helps to verify the correctness of the proposed method and provides the details for how different energies transform into each other during the unfolding process. The dynamic unfolding analysis reveals the global dynamic response and free unfolding trajectories of these origami structures, which have never been presented by previous numerical analysis.

折纸结构引起了工程和科学领域的广泛关注，人们提出了多种数值方法来分析这种结构。大多数与折纸相关的数值研究都集中在折叠过程的静态或准静态分析上。然而，折痕中储存的能量触发折纸的动态展开可以让我们更深入地了解折纸的内在特性。在这项研究中，我们提出了一种动态分析框架，其中结合了粒子-杆-弹簧模型和有限粒子方法。该方法可用于一般折纸结构的动力分析，无论结构是刚性还是非刚性，也无论结构是单自由度（DOF）还是多自由度。模拟和分析了简单折纸折叠、六折水弹管图案、Miura图案和四边形Resch图案的动态展开过程。四种模式的能量分析有助于验证所提出方法的正确性，并提供不同能量在展开过程中如何相互转化的细节。动态展开分析揭示了这些折纸结构的全局动态响应和自由展开轨迹，这在以前的数值分析中是从未有过的。四种模式的能量分析有助于验证所提出方法的正确性，并提供有关展开过程中不同能量如何相互转化的详细信息。动态展开分析揭示了这些折纸结构的全局动态响应和自由展开轨迹，这在以前的数值分析中是从未有过的。四种模式的能量分析有助于验证所提出方法的正确性，并提供不同能量在展开过程中如何相互转化的细节。动态展开分析揭示了这些折纸结构的全局动态响应和自由展开轨迹，这在以前的数值分析中是从未有过的。