Band Gaps and Vibration Isolation of a Three-dimensional Metamaterial with a Star Structure

Jiang, Heng; Zhang, Mangong; Liu, Yu; Pei, Dongliang; Chen, Meng; Wang, Yuren

doi:10.3390/ma13173812

Cited by 38 publications

(14 citation statements)

References 40 publications

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“…Metamaterials are artificial materials consisting of atom-like units arranged periodically. They have essential applications in numerous fields due to their extraordinary attributes, which are not found in natural materials (Jiang et al, 2020). The exceptional properties might include a negative Poisson ratio, negative stiffness, negative mass density, the ability to form frequency band gaps (BGs) and excellent energy dissipation.…”

Section: Band Gap Mechanism Of a Qzs Metastructurementioning

confidence: 99%

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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: Band Gap Mechanism Of a Qzs Metastructurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Tijjani²,

Jiang³

et al. 2022

IJSI

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“…Bandgap property (the range of frequencies where the elastic and acoustic waves can't propagate in the metamaterials) can be used to control the wave propagation. These unconventional properties in the acoustic metamaterials allow them to find extensive applications in negative refraction, [24][25][26] super-resolution imaging, [27][28][29] vibration isolation, [30][31][32] and noise insulators. [33][34][35] In addition, some researchers have also studied other negative characteristics.…”

Section: Introductionmentioning

confidence: 99%

Multiple Re‐Entrant Star‐Shaped Honeycomb with Double Negative Parameters and Bandgap Properties

Liu

Ren

Liu

et al. 2022

Physica Status Solidi (b)

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Achieving bandgaps and double negative properties with single‐phase metamaterial in the low‐frequency range remains a challenge. Currently, acoustic metamaterials with double negative parameters are made of different materials, which can limit their application and design. Herein, a single‐phase multiple re‐entrant star‐shaped honeycomb (MRSSH) is designed and the double negative parameters and bandgaps are simulated. The numerical results show that the MRSSH exhibits three bandgaps and double negative characteristics (negative effective mass density and negative effective modulus) within a certain frequency range. The formation mechanics of bandgaps are investigated by analyzing the vibration modes. Moreover, the effects of geometry parameters such as internal concave angle and re‐entrant on the bandgaps and vibration modes of the MRSSH are investigated. By adjusting the geometry parameters, the dispersion curves and bandgap distribution can be tuned simultaneously. This study provides a new idea for designing a single‐phase lightweight metamaterial that can apply to noised reduction, vibration control, and super‐resolution imaging.

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“…Many scholars have done a lot of work in this field, trying to reduce vibration and noise through different methods [ 4 , 5 , 6 , 7 , 8 ]. Among these methods, phononic crystals have been introduced into the structural vibration reduction design due to the advantage of band gap characteristics [ 9 , 10 , 11 , 12 ].…”

Section: Introductionmentioning

confidence: 99%

Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam

Tang

Yao

et al. 2020

Materials

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The vibration of the periodic oscillator coupled damping beam model is reduced through the band gaps designing method, which can be applied in equivalent engineering structures. In this paper, the flexural wave dispersion relations of the infinite long periodic oscillator coupled damping beam were calculated using the reverberation-ray matrix method combined with the Bloch theorem. The flexural wave vibration frequency response function of the finite long periodic oscillator coupled damping beam was carried out using the finite element method. The flexural wave vibration band gaps occur in the infinite long periodic oscillator coupled damping beam model in both the analytical and numerical results. In these band gaps, flexural waves’ propagation is prohibited, and flexural vibration is significantly suppressed. Furthermore, the effects of structure and material parameters on the flexural wave vibration band gaps characteristics are studied. Thus, the structural vibration reduction design can be realized by adjusting the related parameters of the periodic coupled damping beam structures and the equivalent 2D periodic stiffened plate structures.

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Band Gaps and Vibration Isolation of a Three-dimensional Metamaterial with a Star Structure

Cited by 38 publications

References 40 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

Multiple Re‐Entrant Star‐Shaped Honeycomb with Double Negative Parameters and Bandgap Properties

Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam

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