<p>This study examines the transverse elastic wave propagation bandgap in a buckled Kirigami sheet. Kirigami —the ancient art of paper cutting — has become a design and fabrication framework for constructing metamaterials,robotics, and mechanical devices of vastly different sizes. This study focuses on the elastic transverse wave propa-gation in a buckled Kirigami sheet with uniformed “zig-zag” distributed parallel cuts. When we apply an in-planestretching force that exceeds a critical threshold, this Kirigami sheet buckles forms an out-of-plane periodic shape.Such a three-dimensional shape can change the propagation direction of passing waves. That is, waves enteringthe buckled Kirigami unit cells through its longitudinal direction can turn to the out-of-plane direction. As a result,the stretched Kirigami sheet shows wave propagation band gaps in some frequency ranges. This study uses finiteelement simulation (using COMSOL) to analyze the correction between such propagation bandgap and Kirigami ge-ometry. The simulation uses a flat Kirigami sheet as the base structure and calculates its longitudinal buckling forcevia buckling mode analysis for a particular mode. Then, this sheet is stretched beyond buckling to induce nonlinearout-of-plane deformation in the unit cells. Next, a transverse wave with sweeping frequencies is sent to one end of thebuckled Kirigami, giving the overall transmissibility and band gaps frequency ranges for a buckled Kirigami sheet.Results of this study can offer unique, simple-to-fabricate strategies for tunable wave propagation control.</p>

Transverse Wave Propagation Bandgap in a Buckled Kirigami Sheet

Paper Proceedings: https://asmedigitalcollection.asme.org/SMASIS/SMASIS2021/volume/85499

ASME 2021 Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS2021)

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