Deployable membrane structures have received wide attention in many engineering applications, such as the military, aerospace, and aviation. Their properties of light weight and high storage ratio meet the requirements for aerospace exactly. In this paper, the wrapping deployment of membrane structures inspired by leaves are simulation-analyzed for prospective improvement. Three leaf-inspired patterns are investigated and discussed from the corresponding paper-craft design principles and deployment process perspectives. The deployment performance evaluation system according to the factors effecting working performance including maximum stress, driving force, maximum strain energy, smoothness index, and maximum folding height is established based on the results of the simulation analysis. Then, a comparison between the three patterns is carried out based on the deployment performance evaluation system. Moreover, it is found that adding creases reduces the folded height but the development performance gets worse. There is a balance between the folding ratio and development performance when the additional creases are added. The results can provide useful suggestions for designing wrapping deployment structures.

中文翻译：

---

受叶膜结构包裹展开仿真分析

可展开膜结构在军事、航天、航空等诸多工程应用中受到广泛关注。其重量轻、存储率高的特性正好满足了航空航天的要求。在本文中，模拟分析了受树叶启发的膜结构的包裹部署，以进行前瞻性改进。从相应的纸工艺设计原则和部署过程的角度研究和讨论了三种受叶子启发的模式。根据仿真分析的结果，根据最大应力、驱动力、最大应变能、平滑度指数、最大折叠高度等影响工作性能的因素，建立展开性能评价体系。然后，基于部署性能评估系统对三种模式进行比较。此外，发现增加折痕会降低折叠高度，但显影性能变差。当添加额外的折痕时，折叠率和显影性能之间存在平衡。结果可以为设计包装部署结构提供有用的建议。