Vibration properties and optimized design of a nonlinear acoustic metamaterial beam

Sheng, Peng; Fang, Xin; Wen, Jihong; Yu, Dianlong

doi:10.1016/j.jsv.2020.115739

Cited by 66 publications

(16 citation statements)

References 36 publications

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“…Aimed at this issue, a nonlinear metamaterial is devised by replacing the linear springs in the resonator as nonlinear ones. The results show that resonant peaks in the frequency range between two band gaps are attenuated obviously owing to the bridging coupling effect [26,[112][113][114][115][116] . Such a frequency range is called the chaotic band gap, which provides a promising way to suppress the wave propagation in a much larger frequency range.…”

Section: Improvement Of Wave Suppression Performancementioning

confidence: 97%

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: 97%

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 bifurcation of the periodic solution occurs in the low frequency range around 0.5  which is a significant characteristic of nonlinear system. In other frequency ranges, the amplitude of the resonance peak of the nonlinear system is smaller than that of the linear system which is called chaotic band [39]. It is obvious to see that there is a strong attenuation exists between 1  to 1.5  which present the band gap that elastic waves cannot propagate.…”

Section: Vibration Response Of Finite Nonlinear 2d Ammentioning

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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“…A comparison with numerical simulations showed the range of validity of the proposed expressions. Moreover, Sheng et alii [25] systematically studied influences of amplitude, nonlinear stiffness coefficients, resonance frequencies, masses and beam thicknesses on the bandwidth and efficiency of vibration mitigation properties. Thus, in order to realize low-frequency, broadband and highly efficient vibration reduction with limited attached masses, they presented an optimized lightweight nonlinear acoustic metamaterial beam.…”

Section: Background and Motivationsmentioning

confidence: 99%