Hierarchical square honeycomb metamaterials with low-frequency broad bandgaps and flat energy bands characteristics

Sun, Pu; Zhang, Zhendong; Guo, Hui; Liu, N.N.; Wang, Yansong

doi:10.1063/5.0014846

Cited by 7 publications

(2 citation statements)

References 47 publications

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“…Sun and Zhang et al proposed a class of hierarchical square honeycomb metamaterials (HSHMs) with low‐frequency broad bandgaps (BGs) and flat bandgap characteristics. [ 26 ] Through their analysis, it could be found that the BGs could be modulated in the lower‐frequency range by changing the scale factor and the length‐to‐width ratio of the honeycomb side beam. Li et al proposed a series of anisotropic hierarchical honeycomb lattices.…”

Section: Introductionmentioning

confidence: 99%

Wave Propagation Properties of a Spider‐Web‐Like Hierarchical Acoustic Metamaterial

Ruan

Liu

2022

Physica Status Solidi (b)

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Herein, a hierarchical acoustic metamaterial with a spider‐web‐like structure is proposed based on bionics theory. The wave propagation behaviors of the hierarchical structures are studied and discussed with the finite‐element method and Bloch theorem. The effects of the basic shape of the hierarchical structure, the levels (n), and the ambient temperature on the distribution of the bandgap are analyzed, respectively. The results show that the quadrilateral hierarchical structure has better bandgap properties than the same level's octagonal and hexagonal hierarchical structures. The level of the hierarchical structure has a significant effect on the distribution of the low‐frequency bandgap. When the level of the structure is 15, the lowest opening frequency is 99.875 Hz. When the temperature variable is introduced, the temperature‐induced deformation can significantly change the range of the first bandgap of the hierarchical structure. These findings can provide new ideas for the design of acoustic metamaterials.

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Section: Introductionmentioning

confidence: 99%

Wave Propagation Properties of a Spider‐Web‐Like Hierarchical Acoustic Metamaterial

Ruan

Liu

2022

Physica Status Solidi (b)

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“…The tunable AMMs also be proposed to provide multiple functions, such as active acoustic metalens (Zhang et al, 2021) and tunable acoustic metasurface (Cao et al, 2021). and Exhibiting exclusive phenomena and feasibility to compute at ease in the counterpart of one-and three-dimensional (1D and 3D) AMMs, the two-dimensional (2D) AMMs have been studied at theoretical and experimental levels (Ding et al, 2010;Dorodnitsyn and Van Damme, 2016;Yu et al, 2017;An et al, 2018;Sang and Sandgren, 2018;Guo et al, 2019;Cheng et al, 2020;Sun et al, 2020;Wang et al, 2020). The general research is carried out the two steps, namely calculation of the band structures of 2D AMMs and experiment with the transmittance of corresponding specimens.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Discrepancies Between Two-Dimensional and Three-Dimensional Acoustic Metamaterials

et al. 2021

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In order to get insight information of the band structure of acoustic metamaterials (AMMs) in condensed matter, periodic lattice structures are analyzed using Bloch’s theorem. Typical approaches of the band structure computation methods, topology optimization, and tunable abilities cannot overcome the gap between the two-dimensional (2D) AMMs theoretical and three-dimensional (3D) specimens’ experimental data yet. In this work, the variation in the results of the band structure obtained from the 2D mathematical model computed with respect to the 3D experimental models, and related cause of the variation is explored. The band structures and mode shapes of the 2D AMMs, quasi-2D models, and 3D specimen models are followed to reveal the boundary conditions and source for the observed differences in band structures. The cause for the discrepancies is verified by using the finite element method (FEM) with corresponding boundary conditions. It is found that outcomes from computational data of the 2D AMMs model are diverted significantly by means of bandgap, band structure, and stress distribution in counterparts of the 3D specimen model. This approach can provide assistance for computing the band structure of 2D AMMs for practical applications.

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Low-frequency bandgap and vibration suppression mechanism of a novel square hierarchical honeycomb metamaterial

Dong,

Wang,

Wang

et al. 2024

Appl. Math. Mech.-Engl. Ed.

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The suppression of low-frequency vibration and noise has always been an important issue in a wide range of engineering applications. To address this concern, a novel square hierarchical honeycomb metamaterial capable of reducing low-frequency noise has been developed. By combining Bloch’s theorem with the finite element method, the band structure is calculated. Numerical results indicate that this metamaterial can produce multiple low-frequency bandgaps within 500 Hz, with a bandgap ratio exceeding 50%. The first bandgap spans from 169.57 Hz to 216.42 Hz. To reveal the formation mechanism of the bandgap, a vibrational mode analysis is performed. Numerical analysis demonstrates that the bandgap is attributed to the suppression of elastic wave propagation by the vibrations of the structure’s two protruding corners and overall expansion vibrations. Additionally, detailed parametric analyses are conducted to investigate the effect of θ, i.e., the angle between the protruding corner of the structure and the horizontal direction, on the band structures and the total effective bandgap width. It is found that reducing θ is conducive to obtaining lower frequency bandgaps. The propagation characteristics of elastic waves in the structure are explored by the group velocity, phase velocity, and wave propagation direction. Finally, the transmission characteristics of a finite periodic structure are investigated experimentally. The results indicate significant acceleration amplitude attenuation within the bandgap range, confirming the structure’s excellent low-frequency vibration suppression capability.

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Hierarchical square honeycomb metamaterials with low-frequency broad bandgaps and flat energy bands characteristics

Cited by 7 publications

References 47 publications

Wave Propagation Properties of a Spider‐Web‐Like Hierarchical Acoustic Metamaterial

Wave Propagation Properties of a Spider‐Web‐Like Hierarchical Acoustic Metamaterial

Numerical Investigation of Discrepancies Between Two-Dimensional and Three-Dimensional Acoustic Metamaterials

Low-frequency bandgap and vibration suppression mechanism of a novel square hierarchical honeycomb metamaterial

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