A kirigami structure with periodic incisions on concentric circles is known to largely deform in the out-of-plane direction. By adding the specific folding lines to the concentric kirigami structure, we revealed that the concentric kirigami structures with the folding lines (referred to as a “kiri-origami structure”) can be folded rigidly. Based on this rigid-foldable kiri-origami structure, we considered a theoretical model that generalizes the kinematics and obtained the relationship between the out-of-plane deformation and the radius change. Finally, we compared the theoretical model and experimental deformations by changing the cutting ratio of the folding lines.

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Folding Condition of Kirigami and Rigid-Foldable Kiri-Origami Structure with Periodic Incisions on Concentric Circles

  • Kodai Nakagawa,
  • Hibiki Totsuka,
  • Miyako Mizuna,
  • Nagi Nakamura,
  • Tomohiro Tachi,
  • Eiji Iwase

摘要

A kirigami structure with periodic incisions on concentric circles is known to largely deform in the out-of-plane direction. By adding the specific folding lines to the concentric kirigami structure, we revealed that the concentric kirigami structures with the folding lines (referred to as a “kiri-origami structure”) can be folded rigidly. Based on this rigid-foldable kiri-origami structure, we considered a theoretical model that generalizes the kinematics and obtained the relationship between the out-of-plane deformation and the radius change. Finally, we compared the theoretical model and experimental deformations by changing the cutting ratio of the folding lines.