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

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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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Authors and Affiliations

  1. School of Mechanical Engineering, Shiraz University, Shiraz, 71963-16548, Iran

    Esmaeal Ghavanloo & S. Ahmad Fazelzadeh

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  1. Esmaeal Ghavanloo
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  2. S. Ahmad Fazelzadeh
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Correspondence to Esmaeal Ghavanloo.

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Ghavanloo, E., Fazelzadeh, S.A. Wave propagation in one-dimensional infinite acoustic metamaterials with long-range interactions. Acta Mech 230, 4453–4461 (2019). https://doi.org/10.1007/s00707-019-02514-8

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  • DOI: https://doi.org/10.1007/s00707-019-02514-8

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