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The process of kerfing enables planar structures with the ability to undergodramatic out-of-plane deformation in response to static loads. Starting fromflat and stiff sheets, kerfing allows for the formation of a wide variety ofunconventional free-form shapes, making the process especially attractive forarchitectural applications. In this work, we investigate numerically andexperimentally the bandgap behavior of densely cut kerfed strips. Our studyreveals a rich landscape of bandgaps that is predominantly ascribable to theactivation of resonant sub-units within the kerf unit cells. We also documenthow the extreme deformability of the strips under twisting and bending loads,enhanced by the meandering cut pattern, can serve as a powerful bandgap tuningmechanism.

Bandgap tuning in kerfed metastrips under extreme deformation