Kavli Affiliate: L. Mahadevan
| First 5 Authors: Levi H. Dudte, Gary P. T. Choi, Kaitlyn P. Becker, L. Mahadevan,
| Summary:
We present an additive approach for the inverse design of kirigami-based
mechanical metamaterials by focusing on the design of the negative spaces
instead of the kirigami tiles. By considering each negative space as a four-bar
linkage, we discover a simple recursive relationship between adjacent linkages,
yielding an efficient method for creating kirigami patterns. This shift in
perspective allows us to solve the kirigami design problem using elementary
linear algebra, with compatibility, reconfigurability and rigid-deployability
encoded into an iterative procedure involving simple matrix multiplications.
The resulting linear design strategy circumvents the solution of non-convex
global optimization problems and allows us to control the degrees of freedom in
the deployment angle field, linkage offsets and boundary conditions. We
demonstrate this by creating a large variety of rigid-deployable, compact
reconfigurable kirigami patterns. We then realize our kirigami designs
physically using two new simple but effective fabrication strategies with very
different materials. All together, our additive approaches pave a new way for
mechanical metamaterial design and fabrication based on paper-based
(ori/kiri-gami) art forms.
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