Vibration and sound properties of metamaterial sandwich panels with periodically attached resonators: Simulation and experiment study

Song, Yubao; Wen, Jihong; Tian, Hao; Lu, Xiangyu; Zheng-chu, LI; Feng, Leping

doi:10.1016/j.jsv.2020.115644

Cited by 63 publications

(10 citation statements)

References 34 publications

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“…Indeed, these plates exhibit the inherent attenuation properties of elastic waves that make them ideally suitable for several applications in dynamics. Typically, the resonators may be distributed over the external surface of homogeneous or composite plates [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ] or, alternatively, they may be embedded within the core matrix of sandwich plates [ 11 , 12 , 13 ].…”

Section: Introductionmentioning

confidence: 99%

On the Free Vibrations of Non-Classically Damped Locally Resonant Metamaterial Plates

2022

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In this paper, the focus is on the free vibrations of locally resonant metamaterial plates with viscously damped resonators. Upon formulating a dynamic-stiffness model where the resonators are represented via pertinent reaction forces depending on the deflections of the attachment points, the complex eigenvalues are calculated by a contour-integral algorithm introduced in the literature for general nonlinear eigenvalue problems. The interest in the proposed approach is twofold. The dynamic-stiffness model involves a limited number of generalised coordinates compared to the nodal degrees of freedom of a standard finite-element model, and the contour-integral algorithm proves successful in evaluating all complex eigenvalues, without missing any one, with remarkable computational efficiency. Numerical results are presented for Lévy plates, but are readily extendible to other plate theories. Finally, an ad hoc dynamic-stiffness approach is formulated to calculate the frequency response of the plate under arbitrarily placed loads, which is of particular interest to investigate its elastic wave attenuation properties.

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Section: Introductionmentioning

confidence: 99%

On the Free Vibrations of Non-Classically Damped Locally Resonant Metamaterial Plates

2022

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“…In the search for novel lightweight solutions with favourable noise and vibration attenuation performance, locally resonant metamaterials (LRMs) have gained significant attention (Liu et al, 2000;Claeys et al, 2016). Due to their stop band behaviour, arising from the addition of resonant structures on a sub-wavelength scale on or in a flexible host structure, targeted frequency ranges of strong noise and vibration attenuation can be achieved (Xiao et al, 2012(Xiao et al, , 2013Claeys et al, 2016;Chang et al, 2018;Droz et al, 2019;Van Belle et al, 2019;de Melo Filho et al, 2020;Song et al, 2020;Pires et al, 2022;Sangiuliano et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

Fast vibro-acoustic response computations for finite periodic metamaterial plates using a generalized Bloch Mode Synthesis based sub-structuring approach

Belle¹,

Claeys²,

Desmet³

et al. 2022

Front. Mech. Eng.

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Metamaterials have recently emerged and shown great potential for noise and vibration reduction in specific frequency ranges, called stop bands. To predict stop bands, their often periodic nature is exploited and dispersion curves are calculated based on a single representative unit cell, typically modeled using the finite element method. Since their sub-wavelength nature and often intricate design can lead to large unit cell models, model reduction methods such as the Generalized Bloch Mode Synthesis have been proposed to greatly accelerate dispersion curve calculations. In order to calculate forced vibro-acoustic responses of finite periodic elastic metamaterial plates composed of an assembly of unit cells, however, full order finite element models rapidly become computationally unaffordable. Therefore, in this work the Generalized Bloch Mode Synthesis is incorporated in a sub-structuring approach, which enables fast forced vibration response calculations of finite elastic metamaterial plates based on a single reduced order unit cell model. The main advantage as compared to a regular Craig-Bampton approach is the additional local reduction of unit cell boundary degrees of freedom, whereby a compatible basis for the identical neighboring unit cells is incorporated. In addition, by combining this Generalized Bloch Mode Synthesis based sub-structuring approach with the Elementary Radiator Approach, efficient sound transmission loss computations of finite periodic metamaterial plates are enabled. The performance of the proposed approach for fast vibro-acoustic response predictions is demonstrated for different cases.

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“…Furthermore, Li et al [37] designed a sandwich-like plate containing mass-beam resonators for vibration attenuation and isolation, and the performance of this structure was validated theoretically and experimentally. Later that year, Song et al [38] proposed metamaterial sandwich panels comprising a host sandwich panel and periodically attached resonators, to analyze the vibration and sound properties of the system. The use of the periodic structure design may represent an effective approach for suppressing vibrations, sound radiation, and sound transmission over a wide frequency range.…”

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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Vibration and sound properties of metamaterial sandwich panels with periodically attached resonators: Simulation and experiment study

Cited by 63 publications

References 34 publications

On the Free Vibrations of Non-Classically Damped Locally Resonant Metamaterial Plates

On the Free Vibrations of Non-Classically Damped Locally Resonant Metamaterial Plates

Fast vibro-acoustic response computations for finite periodic metamaterial plates using a generalized Bloch Mode Synthesis based sub-structuring approach

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

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