Towards optimal design of locally resonant acoustic metamaterials

Krushynska, Anastasiia O.; Kouznetsova, V Varvara; Geers, M.G.D.

doi:10.1016/j.jmps.2014.07.004

Cited by 140 publications

(87 citation statements)

References 33 publications

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“…A similar effect is obtained by increasing the thickness of the frame (as in cell a ), while an opposite effect is obtained decreasing the thickness (as in cell c ). Comparing cell b and e one can see that an increase of the size of the cell (i.e., at equal core inclusion, a decrease in the filling fraction) reduces the band-gap, as already evidenced in Krushynska et al (2014), and shifts it to lower frequencies. The influence of the radius of the inclusion, and hence of the filling fraction on the resulting bandgap is further shown in Figure 12.…”

Section: Band-gaps Structure Of Different Cellular Latticesmentioning

confidence: 54%

“…These modes have the same frequency at point Μ and can generate a bandgap, with a mechanism similar to that of the mass-in-mass one-dimensional lattice. As discussed by Krushynska et al (2014) for a different three-component LRAM with rubber-coated inclusions, the width and the location of the band-gap depends on the geometrical properties, in particular on the filling fraction, and on the stiffness and density of the inclusions. In the present work, we have considered the influence of the geometry and materials of the external frame, of the dimensions of the inclusion and of the material filling the cell, on the band-gap.…”

Section: Band-gaps Structure Of Different Cellular Latticesmentioning

confidence: 99%

“…While part of the literature focuses on simple numerical simulations of lumped mass-lumped stiffness models, constructed as series of properly arranged rigid bodies and linear springs (Huang and Sun, 2009, Wang, 2014, Tan et al, 2014, a number of works have been devoted to continuum models of LRAMs with their optimization in 2D (Bacigalupo et al, 2016;Krushynska et al, 2014), and 3D (Krushynska et al, 2017). In this work we study, by means of finite element modal analysis, the attenuation properties of different LRAMs.…”

Section: Introductionmentioning

confidence: 99%

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Wave propagation in cellular locally resonant metamaterials

Comi

Driemeier

2018

Lat. Am. j. solids struct.

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Locally resonant acoustic metamaterials have recently attracted a great interest due to their dynamic behaviour, characterized by a band gap at relatively low frequencies. This paper provides a numerical study, by means of finite element modal analyses, of the dynamic properties of 1D mass-inmass and 2D cellular locally resonant metamaterials. The 2D metamaterial is constituted by a cellular metallic lattice, filled by a soft light material with heavy inclusions or resonators. The influence of material parameters and cell geometry on the band gap width and frequency level are explored. In addition to the usual square lattice we also consider a hexagonal one, which proves to be more efficient for wave filtering.

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Section: Band-gaps Structure Of Different Cellular Latticesmentioning

confidence: 54%

Section: Band-gaps Structure Of Different Cellular Latticesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Wave propagation in cellular locally resonant metamaterials

Comi

Driemeier

2018

Lat. Am. j. solids struct.

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“…Instead, hybridization BGs [8,9] are typically induced in metamaterials by resonant modes of the constituents, which interact with the wave field in the embedding medium [10]. These BGs are independent of the spatial configuration of the metamaterial and can be nucleated at much lower frequencies than Bragg BGs, but are usually rather narrow and require heavy resonators [10][11][12][13][14]. Thus, due to their complicated design or limited working performance [13,15,16], mechanical metamaterials are yet to become widespread in applications.…”

Section: Introductionmentioning

confidence: 99%

Coupling local resonance with Bragg band gaps in single-phase mechanical metamaterials

Krushynska

Miniaci

Bosia

et al. 2017

Extreme Mechanics Letters

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187

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a b s t r a c tVarious strategies have been proposed in recent years in the field of mechanical metamaterials to widen band gaps emerging due to either Bragg scattering or to local resonance effects. One of these is to exploit coupled Bragg and local resonance band gaps. This effect has been theoretically studied and experimentally demonstrated in the past for two-and three-phase mechanical metamaterials, which are usually complicated in structure and suffer from the drawback of difficult practical implementation. To avoid this problem, we theoretically analyze for the first time a single-phase solid metamaterial with socalled quasi-resonant Bragg band gaps. We show evidence that the latter are achieved by obtaining an overlap of the Bragg band gap with local resonance modes of the matrix material, instead of the inclusion. This strategy appears to provide wide and stable band gaps with almost unchanged width and frequencies for varying inclusion dimensions. The conditions of existence of these band gaps are characterized in detail using metamaterial models. Wave attenuation mechanisms are also studied and transmission analysis confirms efficient wave filtering performance. Mechanical metamaterials with quasi-resonant Bragg band gaps may thus be used to guide the design of practically oriented metamaterials for a wide range of applications.

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“…21 The latter are commonly achieved by employing heavy constituents. [21][22][23][24] Recently, it has been found that hierarchically organized continuous 25 or lattice-type 26,27 structures exhibit band gaps due to the two mentioned mechanisms. From this perspective, a spider web-inspired, lattice-based elastic metamaterial seems to be another promising alternative to simultaneously control wave propagation at multi-scale frequencies.…”

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confidence: 99%

Spider web-inspired acoustic metamaterials

Miniaci

Krushynska

Movchan

et al. 2016

Applied Physics Letters

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Spider silk is a remarkable example of bio-material with superior mechanical characteristics. Its multilevel structural organization of dragline and viscid silk leads to unusual and tunable properties, extensively studied from a quasi-static point of view. In this study, inspired by the Nephila spider orb web architecture, we propose a design for mechanical metamaterials based on its periodic repetition. We demonstrate that spider-web metamaterial structure plays an important role in the dynamic response and wave attenuation mechanisms. The capability of the resulting structure to inhibit elastic wave propagation in sub-wavelength frequency ranges is assessed, and parametric studies are performed to derive optimal configurations and constituent mechanical properties. The results show promise for the design of innovative lightweight structures for tunable vibration damping and impact protection, or the protection of large scale infrastructure such as suspended bridges. Published by AIP Publishing. [http://dx

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Towards optimal design of locally resonant acoustic metamaterials

Cited by 140 publications

References 33 publications

Wave propagation in cellular locally resonant metamaterials

Wave propagation in cellular locally resonant metamaterials

Coupling local resonance with Bragg band gaps in single-phase mechanical metamaterials

Spider web-inspired acoustic metamaterials

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