Characteristics of band gaps of a metamaterial plate with membrane-type resonators based on the energy approach

Dong, Wenkai; Wang, Ting; Huang, Zhangkai; Chen, Meixia; Li, Qingsheng; Jia, Wenchao

doi:10.1016/j.tws.2023.110930

Cited by 14 publications

(3 citation statements)

References 48 publications

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“…Dong et al proposed a metamaterial plate with a double-mass membrane-type resonator (DMMR), as shown in Figure 8d. Combining polynomial fitting and virtual spring methods, the natural frequency characteristics of the resonator and the characteristics of the metamaterial plate were obtained, which showed multiple band gaps [101]. Li et al proposed an acoustic metamaterial structure with a four-vibrator phononic crystal, as shown in Figure 8e.…”

Section: Other Types and Multiple Resonance Of Local Resonant Plate-t...mentioning

confidence: 99%

Research Progress on Thin-Walled Sound Insulation Metamaterial Structures

Zhang,

et al. 2024

Acoustics

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Acoustic metamaterials (AMs) composed of periodic artificial structures have extraordinary sound wave manipulation capabilities compared with traditional acoustic materials, and they have attracted widespread research attention. The sound insulation performance of thin-walled structures commonly used in engineering applications with restricted space, for example, vehicles’ body structures, and the latest studies on the sound insulation of thin-walled metamaterial structures, are comprehensively discussed in this paper. First, the definition and math law of sound insulation are introduced, alongside the primary methods of sound insulation testing of specimens. Secondly, the main sound insulation acoustic metamaterial structures are summarized and classified, including membrane-type, plate-type, and smart-material-type sound insulation metamaterials, boundaries, and temperature effects, as well as the sound insulation research on composite structures combined with metamaterial structures. Finally, the research status, challenges, and trends of sound insulation metamaterial structures are summarized. It was found that combining the advantages of metamaterial and various composite panel structures with optimization methods considering lightweight and proper wide frequency band single evaluator has the potential to improve the sound insulation performance of composite metamaterials in the full frequency range. Relative review results provide a comprehensive reference for the sound insulation metamaterial design and application.

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Section: Other Types and Multiple Resonance Of Local Resonant Plate-t...mentioning

confidence: 99%

Research Progress on Thin-Walled Sound Insulation Metamaterial Structures

Zhang,

et al. 2024

Acoustics

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“…In order to solve this problem, traditional materials can only increase their thickness or volume. However, the emergence of metamaterials provides a new direction to solve this problem [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Based on the idea of metamaterials, the concept of acoustic metamaterials was * Author to whom any correspondence should be addressed.…”

Section: Introductionmentioning

confidence: 99%

Low-frequency band gap design of acoustic metamaterial based on cochlear structure

Ruan,

Yu,

Hou

et al. 2024

Smart Mater. Struct.

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In this paper, a new chiral spiral structure based on the cochlear structure is proposed. The chiral spiral structure consists of four orthogonally oriented cochlear structures with the same geometric parameters connected at the inner endpoints of the four cochlear structures. Based on the Bloch’s theory and finite element method (FEM), the band gap characteristics of the proposed chiral spiral structure are studied. The effects of ligament bending angle (θ), the ratio of arc radius of cochlear contour (α), the ligament thickness (tc), and the level of the chiral spiral structure (n) on the chiral spiral structure are discussed. The results show that the two-level chiral spiral structure (n = 2) has the best band gap characteristics when θ = 180° and α = 0.45. With the decrease of tc and the increase of n, the opening frequency of the first band gap gradually decreases. When n = 22, the chiral spiral structure has the lowest opening frequency, 1.91 Hz. The existence of the band gap is verified through the low amplitude elastic wave transmission tests. The distribution of the iso-frequency lines indicates that with the increase of the level of the chiral spiral structure (n), the propagation of elastic waves of the chiral spiral structure shows more distinct directivity, which provides a basis for the propagation control of elastic waves. These findings can provide new design ideas and directions for low-frequency vibration and noise control.

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“…Within this construct, the expected formation of band gaps effectively inhibits wave propagation [10][11][12]. Exploiting these band gap characteristics allows for the deliberate design of novel phenomena, including negative refraction [13], advanced filtering mechanisms [14], and directional waveguides [15], combining both Bragg scattering [16][17][18][19] and local resonance [20][21][22][23] mechanisms in wave controlling metamaterials.…”

Section: Introductionmentioning

confidence: 99%

High strength induced wide band gap formations in additively manufactured cubic metamaterial

Guo,

Li,

Wang

et al. 2024

Smart Mater. Struct.

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Strength and band gap are the two basic physical features of the cubic metamaterial. How to design band gap characteristics with high strength of structure is the key for the further industrial application in vibration control of the cubic metamaterial. Here a cubic metamaterial is designed by optimal selection of crystal orientation angle to obtain wide band gaps with high strength. The prototype samples were fabricated using advanced additive manufacturing technology to tensile-pressure experiments and sine frequency sweep experiment, thereby demonstrating the validity of the obtained results. Results indicated that the normalized bandwidth of SC metamaterials is 0.47 and the ultimate strength is 25.99 MPa. The normalized bandwidth is increased by 3.1 times and 47 times higher than that of the metamaterials of FCC and BCC. Its ultimate strength is increased by 3.5 times and 6.7 times. The static simulation results revealed that the maximum mises stress values of SC, FCC, and BCC metamaterials were 1.71MPa, 10.49MPa, and 31.40MPa respectively. The attenuation amplitude of the elastic wave measured by experiment is 80dB, which is consistent with the simulation results. The bandwidths of cubic metamaterials exhibit a positive correlation with their strength. The variation in crystal orientation angles plays a crucial role in elucidating the underlying mechanism behind the positive correlation between the strength and the band gap. The further buckling analysis of SC metamaterial with high strength and wide bandgap characteristics reveals that the negative Poisson's ratio structure experiences a reduction in bandwidth and strength as buckling deformation intensifies.

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Characteristics of band gaps of a metamaterial plate with membrane-type resonators based on the energy approach

Cited by 14 publications

References 48 publications

Research Progress on Thin-Walled Sound Insulation Metamaterial Structures

Research Progress on Thin-Walled Sound Insulation Metamaterial Structures

Low-frequency band gap design of acoustic metamaterial based on cochlear structure

High strength induced wide band gap formations in additively manufactured cubic metamaterial

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