The dynamic modeling for the foldable origami space membrane structure considering contact-impact during the deployment is studied in this paper. The membrane is discretized using the triangular elements of the Absolute Nodal Coordinate Formulation (ANCF), and the stress–strain relationship of the membrane is determined based on the Stiffness Reduction Model (SRM). A mixed method is proposed for the frictionless contact problem by combining the membrane surface-to-surface (STS) contact elements with the membrane node-to-surface (NTS) contact elements to improve precision. Compared with the traditional STS contact elements, the mixed method can effectively avoid mutual penetration of the element boundaries, especially for the foldable origami membrane structures undergoing overall motions. The penalty method is adopted to enforce the nonpenetration condition. Moreover, special constraints are built for the fold lines, and then the dynamic equations of the membrane multibody system considering the damping effect are formulated. The dynamic deployment procedure of a leaf-in origami membrane structure with contact-impact is performed employing this present mixed method. The results demonstrate the effectiveness and superiority of the presented mixed method in the solution of the complicated contact problem, and the influence of the contact-impact on the dynamic performance is analyzed.

中文翻译：

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展开过程中具有接触冲击的可折叠折纸空间膜结构的动态建模

研究了在部署过程中考虑接触碰撞的可折叠折纸空间膜结构的动力学模型。使用绝对节点坐标公式（ANCF）的三角形元素将膜离散化，并基于减硬模型（SRM）确定膜的应力-应变关系。通过将膜表面对表面（STS）接触元件与膜节点对表面（NTS）接触元件组合以提高精度，提出了一种用于无摩擦接触问题的混合方法。与传统的STS接触元件相比，混合方法可以有效避免元件边界的相互渗透，特别是对于经历整体运动的可折叠折纸膜结构。采用惩罚方法来强制不渗透条件。此外，针对折线建立了特殊的约束条件，然后建立了考虑阻尼作用的膜多体系统动力学方程。采用这种本发明的混合方法进行具有接触冲击的折纸折纸膜结构的动态展开过程。结果证明了所提出的混合方法在解决复杂的接触问题上的有效性和优越性，并分析了接触冲击对动态性能的影响。使用这种本发明的混合方法进行具有接触冲击的折纸折纸膜结构的动态展开程序。结果证明了所提出的混合方法在解决复杂的接触问题上的有效性和优越性，并分析了接触冲击对动态性能的影响。采用这种本发明的混合方法进行具有接触冲击的折纸折纸膜结构的动态展开过程。结果证明了所提出的混合方法在解决复杂的接触问题上的有效性和优越性，并分析了接触冲击对动态性能的影响。