Abstract
Locally resonant elastic metamaterials have a unique characteristic of forming a low-frequency bandgap where wave propagation is inhibited. In this study, we present an auxetic meta-disk, a novel design of a local resonator capable of independent control of the flexural and torsional wave propagation in a pipe. The auxetic meta-disks are perforated with rationally designed auxetic patterns, whose mode-dependent deformation is the key mechanism enabling to manipulate the flexural and torsional natural frequencies of the meta-disks simultaneously. The capabilities of auxetic meta-disks in controlling wave propagation are thoroughly investigated using finite element analysis, and its applicability to elastic wave mode filtering is presented. Because of the simplicity in design and installation, the proposed concept is expected to be practical and applicable to various fields of vibration isolation or non-destructive inspection that require considering more than one vibration mode.
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