Complete low-frequency bandgap in a two-dimensional phononic crystal with spindle-shaped inclusions

Wang, Ting; Wang, Hui; Sheng, Meiping; Qin, Qing Hua

doi:10.1088/1674-1056/25/4/046301

Cited by 12 publications

(4 citation statements)

References 26 publications

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“…In 2016, Wang et al [60] proposed an acoustic metamaterial with periodic spindle-shaped inclusions embedded in a rubber matrix (see Figure 18). This structure can generate a large complete band gap in the range of 163-222 Hz, and the generation of the forbidden band is mainly due to the recirculation motion and shear motion of the matrix around the inclusions.…”

Section: Other Structuresmentioning

confidence: 99%

A Review of Acoustic Metamaterials and Phononic Crystals

2020

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As a new kind of artificial material developed in recent decades, metamaterials exhibit novel performance and the promising application potentials in the field of practical engineering compared with the natural materials. Acoustic metamaterials and phononic crystals have some extraordinary physical properties, effective negative parameters, band gaps, negative refraction, etc., extending the acoustic properties of existing materials. The special physical properties have attracted the attention of researchers, and great progress has been made in engineering applications. This article summarizes the research on acoustic metamaterials and phononic crystals in recent decades, briefly introduces some representative studies, including equivalent acoustic parameters and extraordinary characteristics of metamaterials, explains acoustic metamaterial design methods, and summarizes the technical bottlenecks and application prospects.

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Section: Other Structuresmentioning

confidence: 99%

A Review of Acoustic Metamaterials and Phononic Crystals

2020

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“…More band gaps can be opened by increasing the thickness of the cladding layer. Wang et al [46] proposed a two-dimensional phononic crystal structure, which consists of a square lattice formed by spindle-shaped lead inclusion embedded into rubber matrix. The band structure and transmission curve of the structure were calculated, and the displacement field corresponding to the edge of the band gap was analyzed.…”

Section: Introductionmentioning

confidence: 99%

Band gap characteristics of new composite multiple locally resonant phononic crystal metamaterial

Xiao,

Miao,

Zheng

et al. 2024

J. Phys.: Condens. Matter

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Locally resonant phononic crystal (LRPC) exhibit elastic wave band gap characteristics within a specific low-frequency range, but their band gap width is relatively narrow, which has certain limitations in practical engineering applications. In order to open a lower frequency band gap and broaden the band gap range, this paper proposes a new composite multiple locally resonant phononic crystal (CMLRPC). Firstly, the band structure of the CMLRPC is calculated by using the finite element method, and then the formation mechanism of the band gap of the CMLRPC is studied by analyzing its vibration mode, and the band gap width is expanded by adjusting the size of the single primitive cell in the supercell model of the CMLRPC. Secondly, an equivalent mass-spring system model for CMLRPC is established to calculate the starting frequency and cut-off frequency of the band gap, and the calculated results are in good agreement with the finite element calculation. Finally, the frequency response function (FRF) of the CMLRPC is calculated and its attenuation characteristics are analyzed. Within the band gap frequency range, the attenuation values of the CMLRPC are mostly above 20 dB, indicating a good attenuation effect. Compared with traditional LRPC, this new CMLRPC opens multiple band gaps in the frequency range of 200 Hz, with a wider band gap width and better attenuation effect. In addition, considering both the contact between single primitive cell and the adjustment of their spacing in the supercell model of the CMLRPC, lower and wider band gap can be obtained. The research results of this paper provide a new design idea and method for obtaining low-frequency band gap in LRPC, and can provide reference for the design of vibration reduction and isolation structures in the field of low-frequency vibration control.

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“…Based on the Bragg scattering theory, Wang [11] studied the effect of a plate with cross cavities on the band gap. Wang [12] studied the effect of different inclusions in the same matrix on the band gap by the finite element method. Seongmin et al [13] proposed a tapered phononic beam with a broad low-frequency band gap for flexural waves.…”

Section: Introductionmentioning

confidence: 99%

Study on Band Gap Characteristics of Boat-Shaped Phononic Crystal

Xu¹,

Li²,

Kuang³

2022

JAMP

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In this paper, we analyze the two-dimensional Boat-shaped structure based on the finite element method. We calculated its energy band structure and vibration transmission properties and found that the structure has band gaps at both high and low frequencies. Compared with common traditional twodimensional phononic crystals, the boat-shaped phononic crystal has the advantage of larger bandgap design and modulation parameter space due to their structural complexity. In order to obtain better bandgap characteristics, we studied the influence of four key parameters, such as the rod length and the angle between the rods, on the bandgap. The results show that: for low frequency band gaps, the width of the band gap can be effectively changed by changing the size of the angle between the rods while rod length greatly affects the bandgap position; for high band gaps, the length of rods has a large effect on the band gap position. These laws have guiding significance for the bandgap regulation of boat-shaped phononic crystal.

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Complete low-frequency bandgap in a two-dimensional phononic crystal with spindle-shaped inclusions

Cited by 12 publications

References 26 publications

A Review of Acoustic Metamaterials and Phononic Crystals

A Review of Acoustic Metamaterials and Phononic Crystals

Band gap characteristics of new composite multiple locally resonant phononic crystal metamaterial

Study on Band Gap Characteristics of Boat-Shaped Phononic Crystal

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