Multiple low-frequency broad band gaps generated by a phononic crystal of periodic circular cavity sandwich plates

Based on the finite element method (FEM), characteristics of the local resonance band gap and the Bragg scattering band gap of two periodically-distributed vibrator structures are studied. Conditions of original anti-resonance generation are theoretically derived. The original anti-resonance effect leads to localization of vibration. Factors which influence original anti-resonance band gap are analyzed. The band gap width and the mass ratio between two vibrators are closely correlated to each other. Results show that the original anti-resonance band gap has few influencing factors. In the locally resonant structure, the Bragg scattering band gap is found. The mass density of the elastic medium and the elasticity modulus have an important impact on the Bragg band gap. The coexistence of the two mechanisms makes the band gap larger. The band gap covered 90% of the low frequencies below 2000 Hz. All in all, the research could provide references for studying the low-frequency and broad band gap of phononic crystal.

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Low-frequency locally resonant band-gaps in phononic crystal plates with periodic spiral resonators

Journal of Applied Physics ◽

10.1063/1.4803075 ◽

2013 ◽

Vol 113 (16) ◽

pp. 163511 ◽

Cited By ~ 64

Author(s):

Siwen Zhang ◽

Jiu Hui Wu ◽

Zhiping Hu

Keyword(s):

Phononic Crystal ◽

Low Frequency ◽

Band Gaps

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Local resonances-induced low-frequency band gaps in two-dimensional phononic crystal slabs with periodic stepped resonators

Journal of Physics D Applied Physics ◽

10.1088/0022-3727/44/5/055401 ◽

2011 ◽

Vol 44 (5) ◽

pp. 055401 ◽

Cited By ~ 89

Author(s):

Jin-Chen Hsu

Keyword(s):

Frequency Band ◽

Phononic Crystal ◽

Low Frequency ◽

Band Gaps ◽

Two Dimensional

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Multi-cavity coupling acoustic metamaterials with low-frequency broad band gaps based on negative mass density

Modern Physics Letters B ◽

10.1142/s0217984916503176 ◽

2016 ◽

Vol 30 (23) ◽

pp. 1650317

Author(s):

Chuanhui Yang ◽

Jiu Hui Wu ◽

Songhua Cao ◽

Li Jing

Keyword(s):

Band Gap ◽

Mass Density ◽

Resonant Cavity ◽

Broad Band ◽

Low Frequency ◽

Band Gaps ◽

Acoustic Metamaterials ◽

Negative Mass ◽

Closed Cavity ◽

Cavity Coupling

This paper studies a novel kind of low-frequency broadband acoustic metamaterials with small size based on the mechanisms of negative mass density and multi-cavity coupling. The structure consists of a closed resonant cavity and an open resonant cavity, which can be equivalent to a homogeneous medium with effective negative mass density in a certain frequency range by using the parameter inversion method. The negative mass density makes the anti-resonance area increased, which results in broadened band gaps greatly. Owing to the multi-cavity coupling mechanism, the local resonances of the lower frequency mainly occur in the closed cavity, while the local resonances of the higher frequency mainly in the open cavity. Upon the interaction between the negative mass density and the multi-cavity coupling, there exists two broad band gaps in the range of 0–1800 Hz, i.e. the first-order band gap from 195 Hz to 660 Hz with the bandwidth of 465 Hz and the second-order band gap from 1157 Hz to 1663 Hz with the bandwidth of 506 Hz. The acoustic metamaterials with small size presented in this paper could provide a new approach to reduce the low-frequency broadband noises.

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Band gaps in the low-frequency range based on the two-dimensional phononic crystal plates composed of rubber matrix with periodic steel stubs

Physica B Condensed Matter ◽

10.1016/j.physb.2013.02.011 ◽

2013 ◽

Vol 416 ◽

pp. 12-16 ◽

Cited By ~ 29

Author(s):

Kunpeng Yu ◽

Tianning Chen ◽

Xiaopeng Wang

Keyword(s):

Phononic Crystal ◽

Low Frequency ◽

Band Gaps ◽

Rubber Matrix ◽

Two Dimensional ◽

Frequency Range

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The Ultra-low Frequency and Broad Band Gaps Characteristics of Multilayer Composite Cylindrical Three-dimensional pentamode metamaterials

10.21203/rs.3.rs-969950/v1 ◽

2021 ◽

Author(s):

Chengxin Cai ◽

Xue Wang ◽

Qifu Wang ◽

Mingxing Li ◽

Guangchen He ◽

...

Keyword(s):

Acoustic Waves ◽

Broad Band ◽

Three Dimensional ◽

Engineering Application ◽

Low Frequency ◽

Single Mode ◽

Band Gaps ◽

Multilayer Composite ◽

Lattice Constants ◽

Mode Area

Abstract For three-dimensional pentamode metamaterials, it is of great significance to realize underwater ultra-low frequency acoustic wave control. Therefore, two types multilayer composite cylindrical three-dimensional pentamode metamaterials with ultra-low frequency and broad band gaps are proposed in this paper. By using pentamode metamaterials with lattice constants on the order of centimeters, the phononic band gaps below 60 Hz and the single-mode area below 30Hz can be obtained. Compared with asymmetrical double-cone locally resonant pentamode metamaterials, the lower edge frequency, relative bandwidth and figure of merit of the first phononic band gap can be reduced by up to 61.4%, 10.3% and 40.6%, respectively. It will provide reference and guidance for the engineering application of pentamode metamaterials in controlling the ultra-low frequency broadband acoustic waves, vibration and noise reduction.

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Low-frequency and tuning characteristic of band gap in a symmetrical double-sided locally resonant phononic crystal plate with slit structure

International Journal of Modern Physics B ◽

10.1142/s0217979216502039 ◽

2016 ◽

Vol 30 (27) ◽

pp. 1650203 ◽

Cited By ~ 1

Author(s):

X. P. Wang ◽

P. Jiang ◽

A. L. Song

Keyword(s):

Band Gap ◽

Power Transmission ◽

Phononic Crystal ◽

Low Frequency ◽

Band Gaps ◽

Geometrical Parameters ◽

Band Frequency ◽

Practical Applications ◽

Tuning Characteristic ◽

Lower Frequencies

In this paper, the low-frequency and tuning characteristic of band gap in a two-dimensional phononic crystal structure, consisting of a square array of aluminum cylindrical stubs deposited on both sides of a thin rubber plate with slit structure, are investigated. Using the finite element method, the dispersion relationships and power transmission spectra of this structure are calculated. In contrast to a typical phononic crystal without slit structure, the proposed slit structure shows band gaps at lower frequencies. The vibration modes of the band gap edges are analyzed to clarify the mechanism of the lowest band gaps. Additionally, the influence of the slit parameters and stub parameters on the band gaps in slit structure are investigated. The geometrical parameters of the slits and stubs were found to influence the band gaps; this is critical to understand for practical applications. These results will help in fabricating phononic crystal structures whose band frequency can be modulated at lower frequencies.

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Evidence for complete low-frequency vibration band gaps in a thick elastic steel metamaterial plate

Modern Physics Letters B ◽

10.1142/s0217984919500386 ◽

2019 ◽

Vol 33 (04) ◽

pp. 1950038 ◽

Cited By ~ 4

Author(s):

Suobin Li ◽

Yihua Dou ◽

Tianning Chen ◽

Zhiguo Wan ◽

Jingjing Huang ◽

...

Keyword(s):

Band Gap ◽

Steel Plate ◽

Phononic Crystal ◽

Low Frequency ◽

Crystal Plate ◽

Band Gaps ◽

Formation Mechanisms ◽

Vibration Band ◽

Low Frequency Vibration ◽

Thick Steel

Elastic steel metamaterial plates can be used for noise- and vibration-reduction due to unique physical properties related to their vibration band gap. However, obtaining a complete low-frequency vibration band gap in a thick elastic steel metamaterial plate is difficult. In this paper, we simulate a complete low-frequency vibration band gap in a thick elastic steel metamaterial plate. The structure consists of periodic, double-sided, composite stepped resonators, which were deposited on a 2D locally resonant phononic crystal plate. The phononic crystal plate consists of an array of rubber fillers embedded in a thick steel plate. The dispersion relations, power-transmission spectra, and the displacement fields of the eigenmodes are calculated using the finite-element method. The results show that, for the proposed structure, the opening of the first complete vibration band gap is reduced by a factor of 9.5 compared to a conventional thick elastic steel metamaterial plate. This causes attenuation of low-frequency elastic waves. The formation mechanisms for the vibration band gap are also explored numerically. The results indicate that the formation mechanism for the new low-frequency vibration band gap can be attributed to coupling between a local resonance mode of the composite stepped resonators and the Lamb wave mode of the thick steel-plate. The location of the vibration band gap is determined by the resonator mode of the composite stepped resonators. The vibration band gap effects of the composite stepped resonators are also investigated in this paper. We find that the location of the complete vibration band gaps can be modulated with a relatively low frequency using different composite stepped resonators. Such an elastic steel metamaterial plate with a complete low-frequency vibration band gap can be used to reduce both vibration and noise in various commercial and research applications.

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