Ultra-low and ultra-broad-band nonlinear acoustic metamaterials

Fang, Xin; Wen, Jihong; Bonello, Bernard; Yin, Jianfei; Yu, Dianlong

doi:10.1038/s41467-017-00671-9

Cited by 234 publications

(94 citation statements)

References 57 publications

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“…Although there are significant differences between the numerical results and the UC solutions, their tendencies, jumping frequency and peaks of curves are consistent. The FE results verify the peak near ω r /3 and the valley at [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] Hz. For f F >30 Hz, h 3 gradually increases to a saturate value and features a highly efficient THG band in 35<f F <53 Hz.…”

Section: Fundamental Wave Tgh and Their Interactionsmentioning

confidence: 54%

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Wave propagation in a nonlinear acoustic metamaterial beam considering third harmonic generation

Fang

Wen

et al. 2018

New J. Phys.

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Nonlinear acoustic metamaterials (NAMs) provide new ways to control elastic waves. In this work, flexural wave propagation in an infinite NAM beam consisting of periodic Duffing resonators is reported by considering the third harmonic generation. Different analytical methods are proposed for the homogenized medium. By combining analytical and numerical approaches, we unveiled extensive physical properties of NAMs, including the nonlinear resonance, the effective density, the nonlinear locally resonant (NLR) bandgap, passbands, and the propagation and coupling of the fundamental and third harmonics. These characteristics are highly interrelated and they feature an identical nearfield bifurcation frequency, which facilitates the prediction of functionalities. Moreover, we found that the NLR bandgap characterizes a distance-amplitude-dependent behavior that leads to a selfadaptive bandwidth in the far field. Our work will promote future studies, constructions and applications of NAMs with novel properties.

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Section: Fundamental Wave Tgh and Their Interactionsmentioning

confidence: 54%

“…In addition, when ω J <ω cL , the wave propagation in the passbands of LAMs and NAMs are similar. This law is different from the chaotic band of finite NAMs in which the broadband resonances are reduced greatly [29].…”

Section: Discussionmentioning

confidence: 79%

Wave propagation in a nonlinear acoustic metamaterial beam considering third harmonic generation

Fang

Wen

et al. 2018

New J. Phys.

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“…These principles indicate that increasing the distance between two NLR bandgaps in a certain extent can broaden the chaotic band and enhance its efficiency to suppress the resonances. Further increasing the nonlinear strength will bring higher suppressing efficiencies [43][44][45][46]. Combining the features in the second passband and the third passband with the width of NLR2, the total bandwidth for wave attenuation and suppression is significantly expanded by increasing Δω.…”

Section: Principle Of the Bridging Coupling Of Nlr Bandgapsmentioning

confidence: 99%

“…By considering the first and the second flexural modes of oscillator-1, and the first flexural mode of oscillator-2, this manuscript establishes the physical models of oscillator-1&2 with mode superposition method (see Appendix). And then, the finite element (FE) model of a 7 periodic cell is built based on the Bloch theorem [46].…”

Section: B Dispersion and Transmission Propertiesmentioning

confidence: 99%

“…Chaotic band opens new avenues in double-ultra control of waves. However, mechanisms giving rise to such a broad chaotic band, especially the interactions between multiple nonlinear resonances in the meta-cells [46], are not comprehensively explained. Moreover, there's great demand to in innovating approaches to manipulate chaotic bands in practice.…”

Section: Introductionmentioning

confidence: 99%

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Bridging-Coupling Band Gaps in Nonlinear Acoustic Metamaterials

Fang

Wen

et al. 2018

Phys. Rev. Applied

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Nonlinear acoustic metamaterials (NAMs) open new freedoms in exploiting novel technologies for wave manipulations. Recently, the desired ultra-low and ultra-broad-band wave suppressions were achieved by the chaotic bands in NAMs [Nature Commun. 8, 1288(2017]. This work describes a remote interaction mechanism in NAMs-bridging coupling of nonlinear locally resonant bandgaps. Bridging bandgaps generate chaotic bands and share the negative mass between nonlinear resonators. The bandwidth and the efficiency for the wave reduction in chaotic bands can be manipulated effectively by modulating the frequency distance between the bridging pair. Theoretical analyses on the triatomic model containing two nonlinearly coupled resonances clarify the principle of bridging bandgaps. NAM beams are created to demonstrate this mechanism experimentally by including the bifurcations of periodic solutions. Our study extends the content of NAMs and more nonlinear effects are anticipated based on this mechanism. * xinfangdr@sina.com † wenjihong@vip.sina.com Δ   =− , herein (l) c  ( (h) st  ) denotes the cutoff frequency of the lower bandgap (the start frequency of the higher bandgap). Bandgap coupling in LAM implies Δω→0 + or Δω<0, so we define it as Adjacent Coupling. Adjacent coupling overcomes the bandwidth of single LR bandgap in a certain extent [21-26], but the total widths are still narrow and resonances in passbands may grow. 2 Nonlinearities can boost the development of novel methods for achieving wave manipulations. Extensive studies on nonlinear elastic periodic structures, such as FPU chains [27, 28] and granular crystals [29], have found interesting nonlinear physical phenomena, including solitons [30], amplitude-dependent bandgaps [31] and acoustic diodes [32, 33]. In weakly nonlinear electromagnetic metamaterials, many nonlinear effects such as nonlinear self-action, parametric interactions and frequency conversion were demonstrated [34-37]. However, nonlinear acoustic metamaterial (NAM) is a young topic appearing recently. For the proposed AMs made of side holes, Helmholtz resonators or membranes, weak nonlinearities arise when the intensity of the sound field becomes extremely high [38-40]. These nonlinear acoustic fields in AMs lead to the bandgap shifting and the second harmonic generation [41, 42].Recently, X. Fang et al [43][44][45] studied the amplitudedependent dispersion properties, bifurcations, chaos, and the band manipulations in discrete strong NAM models.

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