Abstract Elucidating versatile configurations of spiral folding, and investigating the deployment performance is of relevant interest to extend the applicability of deployable membranes towards large-scale and functional configurations. In this paper we propose new schemes to package flat and curved membranes of finite thickness by using multiple spirals, whose governing equations render folding lines by juxtaposing spirals and by accommodating membrane thickness. Our experiments using a set of topologically distinct flat and curved membranes deployed by tensile forces applied in the radial and circumferential directions have shown that (1) the multi-spiral approach with prismatic folding lines offered the improved deployment performance, and (2) the deployment of curved surfaces progresses rapidly within a finite load domain. Furthermore, we confirmed the high efficiency of membranes folded by multi-spiral patterns. From viewpoints of configuration and deployment performance, the multi-spiral approach is potential to extend the versatility and maneuverability of spiral folding mechanisms.

中文翻译：

---

使用多螺旋折叠方法包装厚膜：平面和曲面

摘要阐明螺旋折叠的多功能配置，并研究展开性能对于将可展开膜的适用性扩展到大规模和功能性配置具有相关意义。在本文中，我们提出了通过使用多个螺旋来包装有限厚度的平面和弯曲膜的新方案，其控制方程通过并置螺旋和通过适应膜厚度来呈现折叠线。我们使用一组拓扑不同的平面和弯曲膜通过径向和圆周方向施加的张力展开的实验表明：（1）具有棱柱折叠线的多螺旋方法提供了改进的展开性能，以及（2）展开曲面在有限载荷域内迅速发展。此外，我们证实了由多螺旋图案折叠的膜的高效率。从配置和部署性能的角度来看，多螺旋方法有可能扩展螺旋折叠机构的多功能性和机动性。