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17 April 2013 Novel split ring metamaterial for multiple band gaps and vibration control
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A novel metamaterial using split ring resonator is envisioned. Unlike traditional metamaterials, multiple, uniquely designed split rings and elliptical full rings, embedded in polymer matrix are proposed. Purpose of such metamaterial is not only creating simultaneous negative effective mass density and negative bulk modulus but also use them to control structural vibration. Eigen-frequency analyses are performed to find multiple resonant frequencies and corresponding multiple acoustic band gaps. The dispersion equation of the periodic media is solved numerically using finite element method. The acoustic wave modes corresponding to both low and high frequency phonons are obtained. The proposed media was considered to be a periodic media consists of periodic array of unit cells, each cell containing specific geometry of split rings. Each unit cell is made of a metal sphere enclosed in metal circular ring. A pairs of circular split rings are placed symmetrically at the center of the unit cell. In addition to circular split rings, another set of elliptical split rings are also positioned to enclose the aforementioned assembly. To understand the effect of elliptical split rings on band gaps, split rings are then replaced by full rings and dispersion of similar acoustic wave modes are compared.
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Riaz Ahmed and Sourav Banerjee "Novel split ring metamaterial for multiple band gaps and vibration control", Proc. SPIE 8695, Health Monitoring of Structural and Biological Systems 2013, 86952L (17 April 2013);

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