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Journal ArticleDOI

Acoustic metamaterial plates for elastic wave absorption and structural vibration suppression

TLDR
In this paper, the authors present the design and modeling techniques and design guidelines of acoustic metamaterial plates for elastic wave absorption and structural vibration suppression, and reveal the actual working mechanism.
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This article is published in International Journal of Mechanical Sciences.The article was published on 2014-12-01. It has received 153 citations till now. The article focuses on the topics: Stopband & Dynamic Vibration Absorber.

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Citations
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On the mechanism of bandgap formation in locally resonant finite elastic metamaterials

Abstract: Elastic/acoustic metamaterials made from locally resonant arrays can exhibit bandgaps at wavelengths much longer than the lattice size for various applications spanning from low-frequency vibration/sound attenuation to wave guiding and filtering in mechanical and electromechanical devices. For an effective use of such locally resonant metamaterial concepts in finite structures, it is required to bridge the gap between the lattice dispersion characteristics and modal behavior of the host structure with its resonators. To this end, we develop a novel argument for bandgap formation in finite-length elastic metamaterial beams, relying on the modal analysis and the assumption of infinitely many resonators. We show that the dual problem to wave propagation through an infinite periodic beam is the modal analysis of a finite beam with an infinite number of resonators. A simple formula that depends only on the resonator natural frequency and total mass ratio is derived for placing the bandgap in a desired frequency range, yielding an analytical insight and a rule of thumb for design purposes. A method for understanding the importance of a resonator location and mass is discussed in the context of a Riemann sum approximation of an integral, and a method for determining the optimal number of resonators for a given set of boundary conditions and target frequency is introduced. The simulations of the theoretical framework are validated by experiments for bending vibrations of a locally resonant cantilever beam.
Journal ArticleDOI

Wave propagation in metamaterial plates with periodic local resonances

TL;DR: In this article, a finite element model (FEM) is developed to predict the modal and frequency response of different configurations of the metamaterial plates and a Floquet-Bloch approach is exercised to demonstrate the stop band and mechanical filtering capabilities over a broad range of frequencies.
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A general theory for bandgap estimation in locally resonant metastructures

TL;DR: In this article, the authors derived the frequency range of the locally resonant bandgap in uniform finite metamaterial beams using modal analysis, and showed that the bandgap expression is the same regardless of the type of vibration problem under consideration, depending only on the added mass ratio and target frequency.
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Three-Dimensional-Printed Multistable Mechanical Metamaterials With a Deterministic Deformation Sequence

TL;DR: In this paper, the authors proposed to use small variations in the unit cell geometry to obtain a deterministic deformation sequence for one type of multistable metamaterial that consists of bistable unit cells.
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A Review of Acoustic Metamaterials and Phononic Crystals

TL;DR: In this article, the authors summarized the research on acoustic metamaterials and phononic crystals in recent decades, briefly introduced some representative studies, including equivalent acoustic parameters and extraordinary characteristics of metammaterials, explains acoustic metAMaterial design methods, and summarizes the technical bottlenecks and application prospects.
References
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Journal ArticleDOI

Negative Refraction Makes a Perfect Lens

TL;DR: The authors' simulations show that a version of the lens operating at the frequency of visible light can be realized in the form of a thin slab of silver, which resolves objects only a few nanometers across.
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Composite Medium with Simultaneously Negative Permeability and Permittivity

TL;DR: A composite medium, based on a periodic array of interspaced conducting nonmagnetic split ring resonators and continuous wires, that exhibits a frequency region in the microwave regime with simultaneously negative values of effective permeability and permittivity varepsilon(eff)(omega).
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Metamaterial Electromagnetic Cloak at Microwave Frequencies

TL;DR: This work describes here the first practical realization of a cloak of invisibility, constructed with the use of artificially structured metamaterials, designed for operation over a band of microwave frequencies.
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Locally Resonant Sonic Materials

TL;DR: In this article, a 2-centimeter slab of this composite material is shown to break the conventional mass-density law of sound transmission by one or more orders of magnitude at 400 hertz.
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