Research on bandgaps in two-dimensional phononic crystal with two resonators

Gao, Nansha; Wu, Jiu Hui; Yu, Lie

doi:10.1016/j.ultras.2014.08.006

Cited by 59 publications

(17 citation statements)

References 48 publications

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“…The finite element method (FEM) has been extensively used in the study of periodic structures [25][26][27]. In the present paper, the matrix, coating layers, and square cores were made of concrete, rubber, and steel, respectively, and whose material parameters are listed in Table 1.…”

Section: Az Of 2d Locally-resonant Periodic Foundationmentioning

confidence: 99%

Attenuation Zones of Two-Dimensional Periodic Foundations Including the Effect of Vertical Loads

2019

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Periodic foundations for seismic isolation are getting increasing attention in the field of civil engineering. Initial stresses due to the vertical loads from the upper structures exist in periodic foundations. In the present paper, attenuation zones of two-dimensional periodic foundations including the effect of vertical loads are studied by the weak form quadrature element method. Comparisons with existing results in special cases without the effect of vertical loads are conducted to validate the proposed method, and good agreement is found. A comprehensive parametric study is conducted to investigate the effects of vertical loads on the attenuation zones. Moreover, frequency-domain and time-domain response analyses of a two-dimensional periodic foundation with finite unit cells are conducted to verify the theoretical results. The results show that bound frequencies of the attenuation zones, corresponding to the vibration mode of the core, are affected by vertical loads. It is also found that vertical loads shift the complete attenuation zones to lower frequencies and reduce the attenuation coefficients in the attenuation zones.

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Section: Az Of 2d Locally-resonant Periodic Foundationmentioning

confidence: 99%

Attenuation Zones of Two-Dimensional Periodic Foundations Including the Effect of Vertical Loads

2019

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“…Acoustic metamaterials exploit local resonances to induce lowfrequency band gaps which allows the control of waves at much larger wavelengths than their microstructural scales [16,17]. In order to assess the effects of local resonance on bandgaps formation in structures, Brunet et al [18], used a silicon slab made of centered rectangular and square array of holes, and reported that there was no complete bandgap. Similarly, Gao., et al, identified full bandgap for surface acoustic waves in a piezoelectric phononic crystal composed of a square-lattice Y-cut lithium niobate matrix with circular void inclusions [19].…”

Section: Introductionmentioning

confidence: 99%

Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure

Amuaku¹,

Hua-bing²,

Asante³

et al. 2019

AAS

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The emergence of acoustic metamaterials generated a lot of attention in the study of low-frequency vibration, noise control and reduction in engineering applications. As a result, the elastic wave bandgap characteristics of a two-dimensional microcavity local resonator structure for two soft rubber materials was investigated using finite element methods (FEM). The transmission spectrum of the displacement eigenmodes of the bandgap edges relating to the lowest bandgap was calculated. The results showed that the phononic crystal structure without a microcavity local resonator plate has bandgap characteristics of elastic wave propagation in the high-frequency range between 2200~2400Hz. However, with the introduction of microcavity resonator plates in the phononic crystal structure low-frequency bandgaps are obtained in the region of 0~198Hz and 0~200Hz respectively. The low-frequency bandgaps appeared as a result of the microcavity local resonator plate which increased the path length through which the wave is transmitted. The phononic crystal microcavity local resonator plate structure has varying transmission loss characteristics of-65dB,-85dB,-100dB and-150dB in the low-frequency range depending on the number of local resonator plates introduced into the cell structure and density of the cell structure. The study provided a good demonstration of wave propagation in artificially engineered materials with critical emphasis on the effects of local resonators in a microcavity structure.

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“…One of the practical realizations of locally resonant elastic metamaterials is the construction of a periodic array of pillars on a plate [7][8][9][10][11]. In the recent years, the phononic crystal have become a hot topic, and several special physical phenomena have been revealed by the researches [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Resonant modal group theory of membrane-type acoustical metamaterials for low-frequency sound attenuation

Huang

2015

Eur. Phys. J. Appl. Phys.

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In order to overcome the influence of the structural resonance on the continuous structures and obtain a lightweight thin-layer structure which can effectively isolate the low-frequency noises, an elastic membrane structure was proposed. In the low-frequency range below 500 Hz, the sound transmission loss (STL) of this membrane type structure is greatly higher than that of the current sound insulation material EVA (ethylene-vinyl acetate copo) of vehicle, so it is possible to replace the EVA by the membranetype metamaterial structure in practice engineering. Based on the band structure, modal shapes, as well as the sound transmission simulation, the sound insulation mechanism of the designed membrane-type acoustic metamaterials was analyzed from a new perspective, which had been validated experimentally. It is suggested that in the frequency range above 200 Hz for this membrane-mass type structure, the sound insulation effect was principally not due to the low-level locally resonant mode of the mass block, but the continuous vertical resonant modes of the localized membrane. So based on such a physical property, a resonant modal group theory is initially proposed in this paper. In addition, the sound insulation mechanism of the membrane-type structure and thin plate structure were combined by the membrane/plate resonant theory.

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Research on bandgaps in two-dimensional phononic crystal with two resonators

Cited by 59 publications

References 48 publications

Attenuation Zones of Two-Dimensional Periodic Foundations Including the Effect of Vertical Loads

Attenuation Zones of Two-Dimensional Periodic Foundations Including the Effect of Vertical Loads

Effects of Microcavity Local Resonators on the Bandgap Characteristics of a Two-Dimensional Phononic Crystal Structure

Resonant modal group theory of membrane-type acoustical metamaterials for low-frequency sound attenuation

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