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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century

IASS Symposium 2016

SESSION: Deployable Structures

Curvature in Kirigami Sheets

< Table of Contents for Deployable Structures
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Deployable Structures
  • Pages: 9
  • Title: Curvature in Kirigami Sheets
  • Author(s): Spencer Wilson, Keith Seffen
  • Keywords: origami, kirigami, reconfigurable, transformable, tessellation, gauss map, topology, lattice, curvature, overconstrained linkage
Kirigami design differs from origami by allowing cuts and material removal in addition to folding. This work explores the use of kirigami as a basis for transforming flat sheets into 3D shapes. By formulating the principles of kirigami with topology and differential geometry, a framework is developed for transforming a sheet between flat and curved configurations by 'suturing' cuts in a sheet. This framework is demonstrated by designing and analyzing a kirigami unit cell. We find that this unit cell is a type of plane symmetric 6R linkage. We analyze the linkage and illustrate two possible tessellations. Planar design suitable for standard subtractive machining processes ensures the manufacturability of the structures. We expect this system to find applications in morphing structures and robotics where transitions between curvature states are desired.

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