Wave propagation in elastic metamaterial beams and plates with interconnected resonators

Beli, Danilo; Arruda, José Roberto de França; Ruzzene, Massimo

doi:10.1016/j.ijsolstr.2018.01.027

Cited by 137 publications

(41 citation statements)

References 37 publications

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“…In phononic crystals, periodic patterning of constituents or material phases activates Bragg scattering [12] opening band gaps at wavelengths comparable with the spatial periodicity [7,13]. Acoustic metamaterials exploit local resonances to induce low-frequency band gaps allowing the control of waves at much larger wavelengths than their microstructural scales [14][15][16]. The local resonance effect is induced by coated inclusions or pillars, increasing the total structural weight.…”

Section: Introductionmentioning

confidence: 99%

Accordion-like metamaterials with tunable ultra-wide low-frequency band gaps

et al. 2018

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Composite materials with engineered band gaps are promising solutions for wave control and vibration mitigation at various frequency scales. Despite recent advances in the design of phononic crystals and acoustic metamaterials, the generation of wide low-frequency band gaps in practically feasible configurations remains a challenge. Here, we present a class of lightweight metamaterials capable of strongly attenuating low-frequency elastic waves, and investigate this behavior by numerical simulations. For their realization, tensegrity prisms are alternated with solid discs in periodic arrangements that we call 'accordion-like' meta-structures. They are characterized by extremely wide band gaps and uniform wave attenuation at low frequencies that distinguish them from existing designs with limited performance at low-frequencies or excessively large sizes. To achieve these properties, the meta-structures exploit Bragg and local resonance mechanisms together with decoupling of translational and bending modes. This combination allows one to implement selective control of the pass and gap frequencies and to reduce the number of structural modes. We demonstrate that the meta-structural attenuation performance is insensitive to variations of geometric and material properties and can be tuned by varying the level of prestress in the tensegrity units. The developed design concept is an elegant solution that could be of use in impact protection, vibration mitigation, or noise control under strict weight limitations.

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Section: Introductionmentioning

confidence: 99%

Accordion-like metamaterials with tunable ultra-wide low-frequency band gaps

et al. 2018

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“…A similar research showed the influences of lateral local resonators on the transverse wave propagation in a metamaterial [23]. Some numerical calculations and experiments of the elastic metamaterials have been performed to show two stop bands at higher and lower frequency ranges with local resonators [24,25].…”

Section: Introductionmentioning

confidence: 85%

Sound Transmission Comparisons of Active Elastic Wave Metamaterial Immersed in External Mean Flow

Wang

2021

Acta Mech. Solida Sin.

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Using the active feedback control system on the elastic wave metamaterial, this research concentrates on the sound transmission with the dynamic effective model. The metamaterial is subjected to an incident pressure and immersed in the external mean flow. The elastic wave metamaterial consists of double plates and the upper and lower four-link mechanisms are attached inside. The vertical resonator is attached by the active feedback control system and connected with two four-link mechanisms. Based on the dynamic equivalent method, the metamaterial is equivalent as a single-layer plate by the dynamic effective parameter. With the coupling between the fluid and structure, the expression of the sound transmission loss (STL) is derived. This research shows the influence of effective mass density on sound transmission properties, and the STL in both modes can be tuned by the acceleration and displacement feedback constants. In addition, the dynamic response and the STL are also changed obviously by different values of structural damping, incident angle (i.e., the elevation and azimuth angles) and Mach number of the external fluid with the mean flow property. The results for sound transmission by two methods are compared, i.e., the virtual work principle for double plates and the dynamic equivalent method corresponding to a single one. This paper is expected to be helpful for understanding the sound transmission properties of both pure single- and double-plate models.

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“…Among these novel congurations are the concepts of resonator-to-resonator interactions [17,18] and nonlocal resonances [19]. For example, in Beli et al 2018 [18], the interaction between the transverse and rotational modes of a resonator chain consisting of beam elements has been used to achieve a wider band gap in comparison to the case where the resonators perform independently. The authors show how certain Bloch wave modes of the system correspond to the resonance frequencies of the resonator chain.…”

Section: Discussionmentioning

confidence: 99%

Dynamics of metamaterial beams consisting of periodically-coupled parallel flexural elements: a theoretical study

Hajarolasvadi

Elbanna

2019

J. Phys. D: Appl. Phys.

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Periodic systems have attracted a lot of attention in science and engineering due to the existence of band gaps in their frequency spectra. Here, we study the exural wave propagation in beams that are periodically connected in parallel and investigate how the contrast in the material and cross-sectional properties may aect the band structure of these systems and their dispersion properties. Results suggest that by changing the mass and stiness ratios of the two beams, or by changing the inter-beam connection compliance, several band gaps may emerge and that the band gap width, the lowest band gap edge frequency, as well as the nature of attenuation within the gap may be tuned. Furthermore, by considering a hierarchical system of periodically-connected beam elements with dierent unit cell sizes, we show how the interplay between scales may aect the overall dispersion properties of the system by opening and closing band gaps at dierent frequencies. These ndings suggest that a modular design approach may lead to novel dispersion properties in beam structures. Finally, using a Frequency Response Function approach, we show that the aforementioned results hold in the limit of nite structures.

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Wave propagation in elastic metamaterial beams and plates with interconnected resonators

Cited by 137 publications

References 37 publications

Accordion-like metamaterials with tunable ultra-wide low-frequency band gaps

Accordion-like metamaterials with tunable ultra-wide low-frequency band gaps

Sound Transmission Comparisons of Active Elastic Wave Metamaterial Immersed in External Mean Flow

Dynamics of metamaterial beams consisting of periodically-coupled parallel flexural elements: a theoretical study

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