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Research Papers

Effective Dynamic Properties and Multi-Resonant Design of Acoustic Metamaterials

[+] Author and Article Information
R. Zhu

Department of Systems Engineering,  University of Arkansas at Little Rock, Little Rock, AR 72204

G. L. Huang

Department of Systems Engineering,  University of Arkansas at Little Rock, Little Rock, AR 72204glhuang@ualr.edu

G. K. Hu

School of Aerospace Engineering,  Beijing Institute of Technology, Beijing, China, 100081

J. Vib. Acoust 134(3), 031006 (Apr 24, 2012) (8 pages) doi:10.1115/1.4005825 History: Received September 17, 2010; Revised September 29, 2011; Published April 23, 2012; Online April 24, 2012

In the study, a retrieval approach is extended to determine the effective dynamic properties of a finite multilayered acoustic metamaterial based on the theoretical reflection and transmission analysis. The accuracy of the method is verified through a comparison of wave dispersion curve predictions from the homogeneous effective medium and the exact solution. A multiresonant design is then suggested for the desirable multiple wave band gaps by using a finite acoustic metamaterial slab. Finally, the band gap behavior and kinetic energy transfer mechanism in a multilayered composite with a periodic microstructure are studied to demonstrate the difference between the Bragg scattering mechanism and the locally resonant mechanism.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Longitudinal wave propagation in the infinite four-layered elastic medium

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Figure 2

Dispersion curves of the two four-layered elastic media with different filling fractions: (a) layered medium I (the Bragg scattering mechanism), and (b) layered medium II (the locally resonant mechanism)

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Figure 3

Effective material properties of the finite 1D acoustic metamaterials with different lengths: (a) normalized effective mass density, and (b) normalized effective elastic modulus

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Figure 4

Comparison of the dispersion curves predicted by using the homogeneous medium with obtained effective parameters and the exact solution

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Figure 5

A proposed layer-in-layer acoustic metamaterial

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Figure 6

Effective material properties of the layer-in-layer metamaterial with rp  = 1:3: (a) normalized effective mass density, and (b) normalized effective elastic modulus

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Figure 7

Effective mass densities of the layer-in-layer metamaterials with different core-shell ratios rp in the composite layers

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Figure 8

Kinetic energy distribution ratios of (a) R2-3-4 with different material mismatches and filling fractions fh in the layered medium II at the corresponding first band edge frequency. (b) R4-1-2 with different material mismatches and filling fractions fh in the layered medium II at the corresponding second band edge frequency.

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