Multi-resonator coupled metamaterials for broadband vibration suppression

Zhao, Pengcheng; Zhang, Kai; Zhao, Cheng; Deng, Zichen

doi:10.1007/s10483-021-2684-8

Cited by 33 publications

(11 citation statements)

References 50 publications

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“…Consequently, the wave manipulation in the low-frequency range is challengeable for the LR metamaterial. In the ordinary way, the major approaches used to broaden the low-frequency bandwidth include devising multi-degreeof-freedom resonator [96][97][98][99][100][101] , introducing an inerter into the local resonator [102][103] , establishing coupling between different resonators [104][105][106][107][108] , devising the graded local resonator by varying the mass and/or the stiffness of the resonator regularly [83,[109][110] , and loading axial forces on the primary structure [111] . Although these efforts belong to passive approaches, they have achieved an improvement of broadening the bandwidth of the low-frequency band gap.…”

Section: Improvement Of Wave Suppression Performancementioning

confidence: 99%

A brief review of metamaterials for opening low-frequency band gaps

Wang

Zhou

Tan

et al. 2022

Appl. Math. Mech.-Engl. Ed.

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Metamaterials are an emerging type of man-made material capable of obtaining some extraordinary properties that cannot be realized by naturally occurring materials. Due to tremendous application foregrounds in wave manipulations, metamaterials have gained more and more attraction. Especially, developing research interest of low-frequency vibration attenuation using metamaterials has emerged in the past decades. To better understand the fundamental principle of opening low-frequency (below 100 Hz) band gaps, a general view on the existing literature related to low-frequency band gaps is presented. In this review, some methods for fulfilling low-frequency band gaps are firstly categorized and detailed, and then several strategies for tuning the low-frequency band gaps are summarized. Finally, the potential applications of this type of metamaterial are briefly listed. This review is expected to provide some inspirations for realizing and tuning the low-frequency band gaps by means of summarizing the related literature.

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Section: Improvement Of Wave Suppression Performancementioning

confidence: 99%

A brief review of metamaterials for opening low-frequency band gaps

Wang

Zhou

Tan

et al. 2022

Appl. Math. Mech.-Engl. Ed.

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“…The pioneering work of Liu et al [8] has led to the generation of acoustic metamaterials (AM) which are typically artificial periodic media that has subwavelength characteristics of elastic waves based on mechanism of local resonance. At present, numerous studies focus on linear AM [9][10][11][12]. There has been an interest in designing AM to present negative mass effect [13].…”

Section: Introductionmentioning

confidence: 99%

Elastic wave propagation in nonlinear two-dimensional acoustic metamaterials

et al. 2022

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This study describes the wave propagation in a periodic lattice which is formed by a spring-mass two-dimensional structure with local Duffing nonlinear resonators. The wave propagation characteristics of the system is evaluated by using the perturbation method and Floquet-Bloch theorem to determine the dispersion relationships and wave propagation characteristics in the nonlinear two-dimensional acoustic metamaterials (2D AM). A quantitative study of wave amplitude is carried out to reveal the limits of the proposed method. In particular, the harmonic balance method is introduced to investigate the frequency response and effective mass of the nonlinear systems. We find that the dispersion relations, group velocity, negative effective mass of unit-cell are related to wave amplitude. Furthermore, the dual wave vector, bifurcation of periodic solutions and chaotic band are observed in the nonlinear systems. The results can be used to tune wave propagation in the nonlinear acoustic metamaterials and provide some ideas for the study of nonlinear metamaterials.

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“…An et al [18] discussed the band gaps and vibration properties of two-dimensional (2D) disordered lattice acoustic metamaterials. The modified metamaterial system with local resonators coupled was studied by Hu et al [19] and Zhao et al [20] . With the developments in three-dimensional (3D) printing technology, acoustic metamaterials with various microstructures can be readily made.…”

Section: Introductionmentioning

confidence: 99%

On band gaps of nonlocal acoustic lattice metamaterials: a robust strain gradient model

Wang

Liu

Soh

et al. 2022

Appl. Math. Mech.-Engl. Ed.

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We have proposed an “exact” strain gradient (SG) continuum model to properly predict the dispersive characteristics of diatomic lattice metamaterials with local and nonlocal interactions. The key enhancement is proposing a wavelength-dependent Taylor expansion to obtain a satisfactory accuracy when the wavelength gets close to the lattice spacing. Such a wavelength-dependent Taylor expansion is applied to the displacement field of the diatomic lattice, resulting in a novel SG model. For various kinds of diatomic lattices, the dispersion diagrams given by the proposed SG model always agree well with those given by the discrete model throughout the first Brillouin zone, manifesting the robustness of the present model. Based on this SG model, we have conducted the following discussions. (I) Both mass and stiffness ratios affect the band gap structures of diatomic lattice metamaterials, which is very helpful for the design of metamaterials. (II) The increase in the SG order can enhance the model performance if the modified Taylor expansion is adopted. Without doing so, the higher-order continuum model can suffer from a stronger instability issue and does not necessarily have a better accuracy. The proposed SG continuum model with the eighth-order truncation is found to be enough to capture the dispersion behaviors all over the first Brillouin zone. (III) The effects of the nonlocal interactions are analyzed. The nonlocal interactions reduce the workable range of the well-known long-wave approximation, causing more local extrema in the dispersive diagrams. The present model can serve as a satisfactory continuum theory when the wavelength gets close to the lattice spacing, i.e., when the long-wave approximation is no longer valid. For the convenience of band gap designs, we have also provided the design space from which one can easily obtain the proper mass and stiffness ratios corresponding to a requested band gap width.

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Multi-resonator coupled metamaterials for broadband vibration suppression

Cited by 33 publications

References 50 publications

A brief review of metamaterials for opening low-frequency band gaps

A brief review of metamaterials for opening low-frequency band gaps

Elastic wave propagation in nonlinear two-dimensional acoustic metamaterials

On band gaps of nonlocal acoustic lattice metamaterials: a robust strain gradient model

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