Vibration characteristics of innovative reentrant-chiral elastic metamaterials

Li, Yingli; Yan, Gengwang

doi:10.1016/j.euromechsol.2021.104350

Cited by 28 publications

(7 citation statements)

References 31 publications

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“…The band structure and eigenmode of the 2D unit cell metastructure were studied systematically using the FEM (COMSOL Multiphysics). Based on Bloch's theorem (Li and Yan, 2021), the band structure of the unit cell is formed to study its BG properties as the dispersion curves can be obtained to analyze wave propagation characteristics further. The model's band structure has various dispersion curves, as seen in Figure 4, which also displays the model's eigenmodes.…”

Section: Dispersion Relation and Eigenmodes Of The Unit Cellsmentioning

confidence: 99%

Band gap mechanism and vibration attenuation of a quasi-zero stiffness metastructure

Tijjani²,

Jiang³

et al. 2022

IJSI

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PurposeThe main purpose of this paper is to investigate the vibration isolation performance of a quasi-zero stiffness (QZS) metastructure by employing the band gap (BG) mechanism.Design/methodology/approachThe metastructure QZS characteristic was investigated through static analysis by numerical simulation. Based on that, the BG mechanism is primarily used in this article to investigate the wave propagation characteristics of this structure. The model's dispersion relation is then examined using theoretical (perturbation method) and finite element techniques. The dynamic response of the finite-size systems and experimental analysis is used to confirm the vibration mitigation property under investigation. Finally, the model's ability to absorb energy was examined and contrasted with a traditional model.FindingsThe analytical analysis reveals the dispersion curve and the effect of the nonlinear parameter on the curve shifting. The dispersion curve in the finite element method (FEM) result depicts five complete BGs within the range of 0–1,000 Hz, and the BG width accounted for 67.4% of the frequency concerned (0–1,000 Hz). Eigenmodes of the dispersion curves were analyzed to investigate the BG formation mechanisms. The dependence of BG opening and closure on structure parameters was also studied. Finally, the energy absorption property of the QZS metastructure was evaluated by comparing it with a classical model. The QZS structure absorbs 4.08 J/Kg compared to the 3.69 J/Kg absorbed by the classical model, which reveals that the QZS demonstrates better energy absorption performance. Based on the BG mechanism, it is clear that this model is an excellent vibration isolator, and the study reveals the frequencies at which complete vibration mitigation is achieved. As a result, this model could be a promising candidate for vibration mitigation engineering structures and energy absorption.Originality/valueThe tough vibration issue, which is primarily experienced in mechanical equipment, will be resolved in this study. This study provides a precise understanding of the QZS metastructure's isolation of vibration, including the frequencies at which this isolation occurs.

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Section: Dispersion Relation and Eigenmodes Of The Unit Cellsmentioning

confidence: 99%

Band gap mechanism and vibration attenuation of a quasi-zero stiffness metastructure

Tijjani²,

Jiang³

et al. 2022

IJSI

Self Cite

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“…Yoshikawa et al made a theoretical study on the acoustic response of a bilayer cylindrical shell with a fluid medium between shells [ 5 ]. Li and Yan propose hybrid expanded elastic metamaterials that may be a candidate for subwavelength-scale vibration-attenuating structures [ 6 ]. At present, metamaterials have been extensively studied in marine ships and show great potential in engineering applications such as underwater gliders [ 7 ], mechanical drivetrains [ 8 ], and ships [ 9 ].…”

Section: Introductionmentioning

confidence: 99%

Meta-Structure Hull Design with Periodic Layered Phononic Crystals Theory for Wide-Band Low-Frequency Sound Insolation

Zhang

Tao

et al. 2023

Materials

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The hulls of marine vehicles are generally very effective at attenuating airborne acoustic noise generated by their powertrains. However, conventional hull designs are generally not very effective at attenuating wide-band low-frequency noise. Meta-structure concepts offer an opportunity for the design of laminated hull structures tailored to address this concern. This research proposes a novel meta-structure laminar hull concept using periodic layered Phononic crystals to optimize the sound insolation performance on the air–solid side of the hull structure. The acoustic transmission performance is evaluated using the transfer matrix, the acoustic transmittance, and the tunneling frequencies. The theoretical and numerical models for a proposed thin solid-air sandwiched meta-structure hull indicate ultra-low transmission within a 50-to-800 Hz frequency band and with two predicted sharp tunneling peaks. The corresponding 3D-printed sample experimentally validates the tunneling peaks at 189 Hz and 538 Hz, with 0.38 and 0.56 transmission magnitudes, respectively, with the frequency band between those values showing wide-band mitigation. The simplicity of this meta-structure design provides a convenient way to achieve acoustic band filtering of low frequencies for marine engineering equipment and, accordingly, an effective technique for low-frequency acoustic mitigation.

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“…Hori and Asahi showed that the transfer matrix method by Kerner is an effective method to calculate the eigenfrequency distribution of some types of lattice structures, including disordered, by applying the transfer matrix method to an atomic linear chain vibration problem [21]. Li and Yan researched if an innovative two-dimensional (2D) hybrid auxetic elastic metamaterial could broaden the bandgap of vibration isolation [22]. The research conducted by Kaplunov et al aims to find the lowest vibration modes of multi-component rods and cylinders with changing high-contrast material properties of the components [23].…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Characteristics of Multi-Material Lattice Structures

Günaydın¹,

Yavuz

Tamer

2023

Vibration

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This paper presents a modal analysis of honeycomb and re-entrant lattice structures to understand the change in natural frequencies when multi-material configuration is implemented. For this purpose, parallel nylon ligaments within re-entrant and honeycomb lattice structures are replaced with chopped and continuous carbon fibre to constitute multi-material lattice configurations. For each set, the first five natural frequencies were compared using detailed finite element models. For each configuration, three different boundary conditions were considered, which are free–free and clamping at the two sides that are parallel and perpendicular to the vertical parts of the structure. The comparison of the natural frequencies was based on mode-shape matching using modal assurance criteria to identify the correct modes of different configurations. The results showed that the natural frequency of the multi-material configurations increases from 4% to 18% depending on the configuration and material.

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Vibration characteristics of innovative reentrant-chiral elastic metamaterials

Cited by 28 publications

References 31 publications

Band gap mechanism and vibration attenuation of a quasi-zero stiffness metastructure

Band gap mechanism and vibration attenuation of a quasi-zero stiffness metastructure

Meta-Structure Hull Design with Periodic Layered Phononic Crystals Theory for Wide-Band Low-Frequency Sound Insolation

Free Vibration Characteristics of Multi-Material Lattice Structures

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