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Introduction of Novel Split Ring Metamaterial for Acoustic Wave Control

RIAZ AHMED (University of South Carolina), Sourav Banerjee (University of South Carolina)

Mechanics and Dynamics of Periodic Structures

Wed 3:10 - 4:30

Salomon 101

Mass-in-mass metamaterials were widely proposed in recent past to isolate acoustic waves and vibration control. Some investigations were also made to manipulate electromagnetic waves by using split ring resonators. In this study, a two-dimensional complex mass-in-mass metamaterial is proposed with split-ring resonators inside it. Unlike traditional metamaterials, multiple resonant frequencies were targeted to obtain by uniquely designed split rings embedded in polymer matrix. Purpose of such metamaterial is not only for creating simultaneous negative effective mass density and negative bulk modulus but also use them as a tuned structural health monitoring system. The resonators are placed in a certain angle with horizontal to ensure indifferent wave path for both x- and y- directional waves. The system is composed one lead core, one ring resonator and two pairs of split rings (half circular and elliptical). To understand the effect of elliptical split rings on band gaps, split rings are replaced by full rings and both outcomes are compared. To calculate the dispersion relation the unit cell is considered infinitely periodic along both the directions. To introduce the effect of chirality, the unit cell is extended to four element cell, where each element placed as mirror symmetry of its adjacent element. For this study, the four element cell is considered as Representative Area Element (RAE). A detailed analysis of deformation and stress patterns are performed for all the studies.