Nonlinear effects in acoustic metamaterial based on a cylindrical pipe with ordered Helmholtz resonators

Liu, Jun; Li, Yifeng; Yu, Huiyang; Li, Baoshun; Liu, Xiaozhou

doi:10.1016/j.physleta.2017.01.036

Cited by 28 publications

(12 citation statements)

References 23 publications

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“…In the AMMs with piezoelectric plates, multiple materials were used to construct the AMMs with novel properties [56]. The performance of an array of Helmholtz resonators with constant parameters has been studied extensively [132,133]. Since the traditional Helmholtz resonators are characterized by stationary responses and operate at fixed frequency ranges, their application is impractical in an automotive environment.…”

Section: Plunger Controlmentioning

confidence: 99%

A Review of Tunable Acoustic Metamaterials

et al. 2018

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Acoustic metamaterial science is an emerging field at the frontier of modern acoustics. It provides a prominent platform for acoustic wave control in subwavelength-sized metadevices or metasystems. However, most of the metamaterials can only work in a narrow frequency band once fabricated, which limits the practical application of acoustic metamaterials. This paper highlights some recent progress in tunable acoustic metamaterials based on various modulation techniques. Acoustic metamaterials have been designed to control the attenuation of acoustic waves, invisibility cloaking, and acoustic wavefront engineering, such as focusing via manipulating the acoustic impedance of metamaterials. The reviewed techniques are promising in extending the novel acoustics response into wider frequency bands, in that tunable acoustic metamaterials may be exploited for unusual applications compared to conventional acoustic devices.

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Section: Plunger Controlmentioning

confidence: 99%

A Review of Tunable Acoustic Metamaterials

et al. 2018

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“…For ω F >ω r /3, the entire branch-1 in the FC solution corresponds to Im(k 3 )>0, leading to attenuation of the third harmonic with wave number k 3 . In band [35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53] Hz for highly efficient THG, both modes 3k 1 and k 3 for the third harmonics can propagate. Moreover, there are multiple branches in the FC solutions, in which two large-amplitude branches originate from the bifurcation near ω r /3, but the low-amplitude branch has k 3 >600, indicating slow waves or attenuated waves.…”

Section: Fundamental Wave Tgh and Their Interactionsmentioning

confidence: 99%

“…In the passbands, different from the dense modal resonances of finite AMs, resonances of the entire structure are absent in infinite AMs [46]. In the proposed infinite AMs made of side holes, Helmholtz resonators or membranes, evolution of highly intense acoustic waves is determined by weakly nonlinear (WN) processes [47][48][49], in which the bandgap shifting and SHG [50][51][52] appear. For a dispersive wave, Nayfeh and Mook [53] studied the flexural wave propagation in the infinite uniform beam placed on the weakly cubic nonlinear elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

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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“…Pulsations and resonance in pipelines cause problems in a wide range of industrial applications, from process engineering to automobiles, including the latest thermoacoustic engines [1] and new metamaterials [2,3]. The difficulty of identifying resonance in pipes with pulsating flow is due to the nonstationary and periodic nature of the supply, which is provided by reciprocating compressors [4] or receivers such as pumps or periodically working units.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Investigations of Pipeline with Resonator

Pałczyński

Kantyka

2019

Mechanics and Mechanical Engineering

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This article presents the current state of the art regarding the use resonators in straight pipes. There is considerable need to control and reduce pressure pulsation in pipelines supplied with pulsating flows. The use of a Helmholz resonator introduces an additional degree of freedom to the analysed dynamic system. Building on previous experimental investigations by the authors, which identified the nonlinear properties of straight pipes supplied with pulsating flows, this study describes an experimental test rig, measurement methods and mechanical analogies for one (1DOF) and two (2DOF) degrees of freedom. The results are presented in the form of a 3D map of amplitude-frequency characteristics, as a function of the resonator volume determined by piston height. The dynamic properties of the described system are presented as amplitude-phase characteristics, based on a comparison of the numerical and experimental results.

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Nonlinear effects in acoustic metamaterial based on a cylindrical pipe with ordered Helmholtz resonators

Cited by 28 publications

References 23 publications

A Review of Tunable Acoustic Metamaterials

A Review of Tunable Acoustic Metamaterials

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

Experimental and Numerical Investigations of Pipeline with Resonator

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