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Proceedings Paper

An analytical model for band gap behavior in lumped elastic metamaterials
Author(s): H. Al Ba'ba'a; M. Nouh; T. Singh
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Paper Abstract

Internal resonators in lumped spring-mass elastic metamaterials reveal unique wave dispersion characteristics. Using the Bloch-wave analysis and the Transfer Matrix Method (TMM), the band structure of a unit cell of a locally resonant metamaterial shows a band gap (region of near-perfect wave attenuation) despite the lack of any damping elements. This paper presents an analytical closed-form model of a finite metamaterial structure comprising a chain of unit cells to try to understand the band gap behavior. The poles and zeros of the derived transfer functions explain the formation mechanism of the band gap and ties the band structure predictions of the single cell to the structural dynamics of the resultant metamaterial.

Paper Details

Date Published: 5 April 2017
PDF: 8 pages
Proc. SPIE 10170, Health Monitoring of Structural and Biological Systems 2017, 101701F (5 April 2017); doi: 10.1117/12.2260012
Show Author Affiliations
H. Al Ba'ba'a, Univ. at Buffalo (United States)
M. Nouh, Univ. at Buffalo (United States)
T. Singh, Univ. at Buffalo (United States)


Published in SPIE Proceedings Vol. 10170:
Health Monitoring of Structural and Biological Systems 2017
Tribikram Kundu, Editor(s)

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