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Acta Mechanica
Published in: Acta Mechanica 12/2019

26-09-2019 | Original Paper

Wave propagation in one-dimensional infinite acoustic metamaterials with long-range interactions

Authors: Esmaeal Ghavanloo, S. Ahmad Fazelzadeh

Published in: Acta Mechanica | Issue 12/2019

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Abstract

In this paper, the effect of long-range interactions on the wave propagation in one-dimensional acoustic metamaterials is investigated. The wave dispersion relations of these materials are expressed in closed-form solutions. In addition, a nonlocal continuum model is developed to approximate the behavior of the metamaterials with general long-range interactions. The influences of various parameters including the mass and stiffness ratios are also examined. The numerical results show that the long-range interactions affect the shape of the dispersion curves, while the range of the band-gap slightly changes. Furthermore, the results indicate that the proposed nonlocal model with appropriate nonlocal parameters can predict the dispersion behavior of the one-dimensional mass-in-mass system with long-range interactions very well, especially for the acoustic mode.
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Metadata
Title
Wave propagation in one-dimensional infinite acoustic metamaterials with long-range interactions
Authors
Esmaeal Ghavanloo
S. Ahmad Fazelzadeh
Publication date
26-09-2019
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 12/2019
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-019-02514-8

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