Study on Band‐Gap Behaviors of 2D Hierarchical Re‐Entrant Lattice Structures

Hou, Jiahong; Liu, Dong

doi:10.1002/pssb.201800693

Cited by 10 publications

(4 citation statements)

References 36 publications

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“…first proposed by Li and Chan in 2004 [18]. Because of the unique band gap characteristics of acoustic metamaterials, acoustic metamaterials have been widely studied in the past two decades [19][20][21][22][23][24][25][26][27]. Xie et al presented five kinds of labyrinthine or space-coiling acoustic metamaterials with tapered channels and apertures [28].…”

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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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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“…There are a number of geometrical models for manifesting auxetic behavior, such as the re‐entrant models, [ 1 ] the double arrowhead models, [ 2 ] interconnected star models, [ 3 ] nodule‐fibril models, [ 4 ] slit‐perforated models, [ 5 ] hard cyclic models, [ 6 ] missing rib models, [ 7 ] chiral and antichiral models, [ 8 ] interlocking and sliding models, [ 9 ] egg‐rack models, [ 10 ] origami models, [ 11 ] dimpled sheets, [ 12 ] uneven graphene, [ 13 ] helical yarns, [ 14 ] plied yarns, [ 15 ] stitched‐through yarns, [ 16 ] liquid crystalline polymers, [ 17 ] ring‐rod assembly, [ 18 ] linkage mechanisms, [ 19 ] and Voronoi structures, [ 20 ] to name a few. Of the various classes of auxetic models, one of the most enduring models can be attributed to the rotating rigid units, in which the first type is in the form of interconnected rotating squares.…”

Section: Introductionmentioning

confidence: 99%

Auxetic System Based on Rotating Hexagons and Triangles

Lim

2024

Physica Status Solidi (b)

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An auxetic metamaterial that exhibits isotropic in‐plane deformation is introduced herein in the form of rotating rigid units, consisting of regular hexagons and equilateral triangles, that are connected at their vertices. By inspection, the in‐plane Poisson's ratio is at a constant value of ν = −1. The size descriptor of this metamaterial can be expressed as a function of rotating unit sizes and their internal angle by means of geometrical construction. By energy method, the effective in‐plane Young's modulus of this metamaterial has been established and shown to be governed by the rotational stiffness at the connecting hinges in addition to the relative sizes of the rotating units and their internal angle. Results indicate that the in‐plane Young's modulus is linearly proportional to the rotational stiffness at the connecting hinges and inversely proportional to the rigid unit size. In addition, the Young's modulus is governed by the ratio of the hexagon‐to‐triangle size for small internal angle, and rapidly approaches extreme value as the internal angle approaches right angle. The characteristics of the proposed metamaterial would allow its use as a sieve that not only controls the filtering of particles by size but also by the aspect ratio of rod‐like particles.

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“…A negative mass model was achieved to explain the mechanism of the bandgap [29]. Besides the energy absorption and protection ability, hierarchical structures also displayed bandgap properties [30]. By designing a geometry of a different order and tuning the hierarchical mode and similarity ratio, the bandgap distribution was tuned to satisfy the needs of practical applications [31,32].…”

Section: Introductionmentioning

confidence: 99%

Study on bandgap and directional wave propagation of a two-dimensional lattice with a nested core

Hou¹,

Zhang²,

Li³

2022

J. Phys. D: Appl. Phys.

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This paper proposed a two-dimensional lattice structure with a nested core. The bandgap distribution and the anisotropy of phase velocity and group velocity were studied based on Bloch’s theorem and finite element method. The effects of eccentric ratio (e) and rotation angle (θ) of dual-phase structure on the bandgap distribution were investigated, and the anisotropy was studied via phase velocity and group velocity. The structure of (e) = 0.3 displayed the maximum total bandgap width. With (θ) increasing, the total bandgap widths of structures of different (e) all increased apparently and the low-frequency bandgap properties were improved. The phase velocity and group velocity of (e) = 0 displayed strong anisotropy, and the anisotropy was tuned by tuning (θ). Furthermore, the group velocity of the eighth mode displayed high directional wave propagation. For practical application, a single-phase structure was proposed and analyzed. Through additive manufacturing technology, the single-phase structure was prepared and tested by a low amplitude test setup. The experimental results displayed a good agreement with numerical results which demonstrated high directional propagation. This finding may pave the way for the practical application of the proposed lattice metamaterial in terms of wave filtering.

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Study on Band‐Gap Behaviors of 2D Hierarchical Re‐Entrant Lattice Structures

Cited by 10 publications

References 36 publications

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

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

Auxetic System Based on Rotating Hexagons and Triangles

Study on bandgap and directional wave propagation of a two-dimensional lattice with a nested core

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