中国空间科学技术 ›› 2025, Vol. 45 ›› Issue (1): 143-152.doi: 10.16708/j.cnki.1000-758X.2025.0014

• 论文 • 上一篇    下一篇

具有形态适应性的flasher折纸模型构型设计方法

郑威,郭策*,马啸飞,董傲,张镇   

  1. 南京航空航天大学 机电学院,南京210016
  • 收稿日期:2023-08-11 修回日期:2023-09-21 录用日期:2023-10-09 发布日期:2025-01-23 出版日期:2025-02-01

An approach to designing origami flashers with shape accommodation

ZHENG Wei, GUO Ce*, MA Xiaofei, DONG Ao, ZHANG Zhen   

  1. College of Mechanical Electrical Engineering, Nanjing University of Aeronautics and Astronautics,
    Nanjing 210016,China
  • Received:2023-08-11 Revision received:2023-09-21 Accepted:2023-10-09 Online:2025-01-23 Published:2025-02-01

摘要: 针对经典flasher折痕折展形式单一、缺乏可调整性和自适应能力差等问题,在经典flasher模型几何关系研究的基础上,通过建立数学模型和理论推导,提出了一种具有形态适应性的flasher折纸模型的折痕设计方法,实现了对flasher折纸模型折叠高度、折叠-展开曲率的调节,并进行了数值仿真和实验测试。结果表明,新的折痕设计方法不但可以缩减flasher模型折叠高度,大大减小相关结构体积,还可以改变模型的折叠-展开曲率,有效提升了flasher折展结构的适应性和灵活性,可适用于大型空间折展机构的构型设计,具有较好的借鉴意义。

关键词: 折痕设计, 折纸理论, flasher折纸, 数学模型, 几何分析

Abstract: Based on the study of geometric relations in the classical origami flashers, an approach to designing origami flashers with shape accommodation is proposed in response to the issues of the classic origami flashers with a single form of folding, and lack of adjustability and adaptability. The methods of establishing mathematical models and theoretical derivation are used to achieve the adjustment of folding height and folding-unfolding curvature of the flasher origami model, and numerical simulations and experiments are also carried out. The results show that this approach not only lowers the flasher model′s folding height, but also modifies the folding-unfolding curvature of the flasher model, which significantly enhances the adaptability and flexibility of origami flashers.The novel crease design approach of origami flashers facilitates their potential applicability in large space engineering applications and deployable mechanisms.

Key words: crease design, origami theory, flasher origami, mathematical model, geometric analysis