Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures

Chen, Jung-San; Chien, I-Ting

doi:10.1115/1.4038146

Cited by 14 publications

(7 citation statements)

References 32 publications

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“…Several theoretical formulations have been reported for the demonstration of negative mass density (spring-mass analogy) [39] and negative bulk modulus (Helmholtz resonance) [13,37,40]. For the realization of negative effective mass density, generally thin membranes with or without embedded mass have been used [41][42][43]. A thin membrane, generally made of soft materials such as natural rubber, latex, or myler sheet, is suitable for responding against incoming acoustic pressure waves.…”

Section: Acoustic Metamaterials: a Brief Overviewmentioning

confidence: 99%

Recent Advances in Acoustic Metamaterials for Simultaneous Sound Attenuation and Air Ventilation Performances

Kumar¹,

Lee²

2020

Crystals

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In the past two decades, acoustic metamaterials have garnered much attention owing to their unique functional characteristics, which are difficult to find in naturally available materials. The acoustic metamaterials have demonstrated excellent acoustical characteristics that paved a new pathway for researchers to develop effective solutions for a wide variety of multifunctional applications, such as low-frequency sound attenuation, sound wave manipulation, energy harvesting, acoustic focusing, acoustic cloaking, biomedical acoustics, and topological acoustics. This review provides an update on the acoustic metamaterials’ recent progress for simultaneous sound attenuation and air ventilation performances. Several variants of acoustic metamaterials, such as locally resonant structures, space-coiling, holey and labyrinthine metamaterials, and Fano resonant materials, are discussed briefly. Finally, the current challenges and future outlook in this emerging field are discussed as well.

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Section: Acoustic Metamaterials: a Brief Overviewmentioning

confidence: 99%

Recent Advances in Acoustic Metamaterials for Simultaneous Sound Attenuation and Air Ventilation Performances

Kumar¹,

Lee²

2020

Crystals

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“…Equation ( 4) describes the fundamental resonant frequency of a membrane-type resonator. This method has been proved to be feasible in predicting the resonant frequency of a membrane-type resonator [26,28]. Considering the resonators as a single degree of freedom mass-spring system, the effective stiffness can therefore be described by:…”

Section: The Modelling Of Bilayer Membrane-type Resonatorsmentioning

confidence: 99%

“…Thus, the prediction of membrane structure's fundamental resonant frequency will be a key design factor for MAMs. There were several methods proposed for the calculation of the membrane-mass model's resonant frequencies [27,28]. However, limited studies have focused on the prediction of membrane-type metamaterial's bandgap property in terms of the bandgap location and width.…”

Section: Introductionmentioning

confidence: 99%

Study of bandgap property of a bilayer membrane-type metamaterial applied on a thin plate

Gao

Halim

2020

International Journal of Mechanical Sciences

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This work is aimed to study the bandgap property of a thin plate structure with periodically attached bilayer membrane-type resonators. An analytical method based on the Plane Wave Expansion (PWE) method combined with the Rayleigh method, is proposed to predict the bandgap property of bilayer membrane-type metamaterials. The accuracy of the proposed method is verified by the finite element analysis, and a parametric analysis is conducted to reveal the effect of parameters on the bandgap performance. It is found that such a metamaterial can generate two separated bandgaps through the contribution of its two layers of membranes. It is observed that the increase of membrane tensile stress or the magnitude of attached mass can lead to the broadening of bandgaps, whilst the change of unit cell's periodicity has the opposite effect. In addition, if compared with the corresponding single layer membrane-type metamaterials, it is shown that the bilayer membranetype's first bandgap is suppressed while the second one is extended. However, by applying proper membrane tensile stress and mass magnitude, the suppression of the first bandgap can be weakened whilst allowing the tuning of the bandgap location. These characteristics reveal the benefits of using bilayer membrane-type metamaterial as it possesses higher agility in bandgap tuning. The proposed method can provide an effective tool for the bilayer membrane-type metamaterial design and optimisation.

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“…Metastructures, a metamaterial-inspired concept, feature distributed periodic vibration absorbers [27][28][29]. These structures exhibit interesting dynamic behaviors (e.g., bandgaps and pass bands) that have attracted significant research interest in recent years.…”

Section: Introductionmentioning

confidence: 99%

Metastructure plate with periodically embedded nonlinear vibration absorbers for nonlinear aeroelastic suppression

Tian¹,

Zhao²,

Yang³

2021

Preprint

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A metastructure plate featuring periodically embedded nonlinear vibration absorbers (NVAs) is proposed for the passive suppression of nonlinear aeroelastic responses under supersonic flow conditions. Using the von Karman large deformation theory and supersonic piston theory, the motion equations of a supersonic functionally graded material plate coupled with NVAs are derived from the Hamilton principle. Linear flutter analysis shows that the multiple-NVA design can significantly enhance the aerothermoelastic stability of the metastructure plate. Subsequently, the nonlinear aeroelastic behaviors of the plate and the energy transfer mechanism between it and the NVAs are examined using an energy-based analysis approach. The comparison of bifurcation diagrams indicates that the attachment of periodic NVAs realizes a superior suppression of vibration absorption than a single NVA. Numerical results show that the nonlinear dynamic responses of the plate can be substantially reduced via the targeted energy transfer of NVAs in the post-flutter regime. In particular, the passive control performance of the periodic NVAs does not degrade under an increase in the dynamic pressure. Furthermore, a significant reduction of more than 95% in the response amplitude of the plate can be realized by properly tuning the NVA parameters. The present work demonstrates that the metastructure design, based on periodically distributed NVAs, is effective at enhancing the flutter stability and mitigating nonlinear aeroelastic responses.

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Dynamic Behavior of a Metamaterial Beam With Embedded Membrane-Mass Structures

Cited by 14 publications

References 32 publications

Recent Advances in Acoustic Metamaterials for Simultaneous Sound Attenuation and Air Ventilation Performances

Recent Advances in Acoustic Metamaterials for Simultaneous Sound Attenuation and Air Ventilation Performances

Study of bandgap property of a bilayer membrane-type metamaterial applied on a thin plate

Metastructure plate with periodically embedded nonlinear vibration absorbers for nonlinear aeroelastic suppression

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