Low-frequency property and vibration reduction design of chiral star-shaped compositive mechanical metamaterials

Zhang, Ying; Wang, Liang; Ding, Qian; Han, Hongge; Xu, Jinxin; Yan, Hao; Sun, Yongtao; Yan, Qun; Gao, Haoqiang

doi:10.1080/15376494.2022.2081751

Cited by 27 publications

(2 citation statements)

References 38 publications

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“…The Brillouin region of the basic lattice can be obtained, as shown in Figure 2, in which the black shadow region is irreducible Brillouin region. [38][39][40][41] The displacement U at point P with the frequency ω in the unit lattice by Bloch theorem as follows: where U r is the wave amplitude, k is the wave vector and i is the imaginary unit. The matrix form of the dynamic equation of the unit lattice can be expressed as…”

Section: Finite-element Modeling Of the Wave Propagationmentioning

confidence: 99%

Low Frequency Band Gap and Wave Propagation Properties of a Novel Fractal Hybrid Metamaterial

Cao

Yang

Ding

et al. 2022

Physica Status Solidi (b)

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In order to achieve the attenuation of low‐frequency sound, in this paper, a hybrid metamaterial structure with a complete band gap below 500 Hz is proposed, which is subjected to second‐order fractal, series fusion, and whether the structure is framed or not to form 8 different structures. Based on the finite element method and Bloch's theorem, the bandgap and transport properties of all model structures are evaluated, and the bandgap and propagation properties of metamaterial structures with different fractal levels are elucidated in terms of band structure and group velocity. In addition, the third‐order fractal structure and the dependence of the band gap on the material are also studied. The results show that the structure has a superior band gap width, and the complete band gap of its tandem fusion structure accounts for up to 45.502% in the range of 500 Hz, and the second‐order fractal has a complete band gap of 45.588% in the range of 1000 Hz. Compared with other structures, it can produce lower and better band gap. The research in this paper provides a new strategy for realizing acoustic metamaterial structures with low frequency band gaps.

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Section: Finite-element Modeling Of the Wave Propagationmentioning

confidence: 99%

Low Frequency Band Gap and Wave Propagation Properties of a Novel Fractal Hybrid Metamaterial

Cao

Yang

Ding

et al. 2022

Physica Status Solidi (b)

Self Cite

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“…The structure, also, exhibits auxetic or zero Poisson’s ratio for mechanical applications (Mizzi et al , 2018, Fong et al , 2023) and for reversible energy absorption (Hamzehei et al , 2022). The star-shaped structures have also been demonstrated to exhibit negative refraction and self-collimation for applications in phononic crystals (vibration isolation and elastic waveguide) (Chang et al , 2019, Zhang et al , 2023), as well as tunable high and low frequency plane wave attenuation properties (Xin et al , 2021). These metamaterials have been fabricated through 3D printing technology such as FFF and their structural properties strongly depend on the 3D printing conditions (Chen and Lee, 2022).…”

Section: Introductionmentioning

confidence: 99%

Optimisation of printing parameters of fused filament fabrication and uniaxial compression failure analysis for four-point star-shaped structures

Wambua,

Mwema,

Akinlabi

et al. 2024

RPJ

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Purpose The purpose of this paper is to present an optimisation of four-point star-shaped structures produced through additive manufacturing (AM) polylactic acid (PLA). The study also aims to investigate the compression failure mechanism of the structure. Design/methodology/approach A Taguchi L9 orthogonal array design of the experiment is adopted in which the input parameters are resolution (0.06, 0.15 and 0.30 mm), print speed (60, 70 and 80 mm/s) and bed temperature (55°C, 60°C, 65°C). The response parameters considered were printing time, material usage, compression yield strength, compression modulus and dimensional stability. Empirical observations during compression tests were used to evaluate the load–response mechanism of the structures. Findings The printing resolution is the most significant input parameter. Material length is not influenced by the printing speed and bed temperature. The compression stress–strain curve exhibits elastic, plateau and densification regions. All the samples exhibit negative Poisson’s ratio values within the elastic and plateau regions. At the beginning of densification, the Poisson’s ratios change to positive values. The metamaterial printed at a resolution of 0.3 mm, 80 mm/s and 60°C exhibits the best mechanical properties (yield strength and modulus of 2.02 and 58.87 MPa, respectively). The failure of the structure occurs through bending and torsion of the unit cells. Practical implications The optimisation study is significant for decision-making during the 3D printing and the empirical failure model shall complement the existing techniques for the mechanical analysis of the metamaterials. Originality/value To the best of the authors’ knowledge, for the first time, a new empirical model, based on the uniaxial load response and “static truss concept”, for failure mechanisms of the unit cell is presented.

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On the Study of Thickness Gradients in Novel Star Honeycombs: Classical and Combinatorial Designs

Li,

Guo

et al. 2024

Physica Status Solidi (b)

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Herein, a series of gradient designs are carried out to enhance further the energy absorption capacity of a novel star honeycomb. These include unidirectional and bidirectional gradient designs along the impact direction, while the gradient changes in the non‐impact direction are considered. Via the coupling of bidirectional and unidirectional directions, a combined gradient evolution method is further proposed. The in‐plane compression characteristics of these gradient honeycombs are systematically revealed based on the validated finite element method at low‐, medium‐, and high‐velocity impacts, respectively. The results show that honeycombs with gradient variations in the impact direction are realized as localized modes under both low‐ and medium‐velocity impacts, while honeycombs with gradient design only in the non‐impact direction exhibited global modes and “local + global” modes, respectively; under high‐speed impacts, honeycombs with gradient configurations in the non‐impact direction showed stepped layer‐by‐layer collapses, whereas honeycombs with gradient evolutions only in the impact direction collapsed in I‐shaped layers. Besides, the increase in compressive strength and specific energy absorption of honeycomb with combined gradient configuration can be up to 38.1% and 67.9%. This article provides a new idea of honeycomb gradient evolution, which can provide a reference for improving the energy‐absorption capacity of honeycombs.

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Low-frequency property and vibration reduction design of chiral star-shaped compositive mechanical metamaterials

Cited by 27 publications

References 38 publications

Low Frequency Band Gap and Wave Propagation Properties of a Novel Fractal Hybrid Metamaterial

Low Frequency Band Gap and Wave Propagation Properties of a Novel Fractal Hybrid Metamaterial

Optimisation of printing parameters of fused filament fabrication and uniaxial compression failure analysis for four-point star-shaped structures

On the Study of Thickness Gradients in Novel Star Honeycombs: Classical and Combinatorial Designs

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