2018
DOI: 10.1088/1367-2630/aaf65e
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Wave propagation in a nonlinear acoustic metamaterial beam considering third harmonic generation

Abstract: 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) ba… Show more

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Cited by 42 publications
(13 citation statements)
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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%
“…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%
“…Although nonlinearity has been utilized to expand the available design space in metamaterials [1,26], its application in metasurfaces remains rare [3,27,28]. The most relevant studies, to the best of our knowledge, are those that involve nonlinear resonators attached to a one-dimensional substrate [29][30][31][32][33].…”
Section: Introductionmentioning
confidence: 99%
“…5. See [31] for a detailed example of third-harmonic generation in a similar problem in which the substrate is a thin beam.…”
mentioning
confidence: 99%
“…However, most research studies in this field are focusing on linear periodic structures based on the linear elastic mechanics. Many common laws have been revealed (Tang et al, 2019), including local resonances (Fang et al, 2018a, 2018b; Fossata et al, 2017), band gaps (Shahid et al, 2019), and defect states (Chou Chau et al, 2020; Thota and Wang, 2018).…”
Section: Introductionmentioning
confidence: 99%