Optimization of a type of elastic metamaterial for broadband wave suppression

Wu, Kun; Hu, Haiyan; Wang, Lifeng

doi:10.1098/rspa.2021.0337

Cited by 14 publications

(4 citation statements)

References 52 publications

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“…Among the numerous application areas in which they have been successful in recent years, we focus on the so-called mechanical metamaterials [1][2][3][4][5]. In particular, they are used for the manipulation and control of wave propagation, such as cloaking, trapping, imaging, noise and vibration attenuation [6][7][8][9][10]. Performing the wave propagation control can be realized through techniques that employ active phases that leverage multi-field couplings [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Dynamic continualization of mechanical metamaterials with quasi-periodic microstructure

Del Toro,

De Bellis,

Bacigalupo

2024

Phil. Trans. R. Soc. A.

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This article focuses on characterizing a class of quasi-periodic metamaterials created through the repeated arrangement of an elementary cell in a fixed direction. The elementary cell consists of two building blocks made of elastic materials and arranged according to the generalized Fibonacci sequence, giving rise to a quasi-periodic finite microstructure, also called Fibonacci generation. By exploiting the transfer matrix method, the frequency band structure of selected periodic approximants associated with the Fibonacci superlattice, i.e. the layered quasi-periodic metamaterial, is determined. The self-similarity of the frequency band structure is analysed by means of the invariants of the symplectic transfer matrix as well as the transmission coefficients of the finite clusters of Fibonacci generations. A high-frequency continualization scheme is then proposed to identify integral-type or gradient-type non-local continua. The frequency band structures obtained from the continualization scheme are compared with those derived from the Floquet–Bloch theory to validate the proposed scheme. This article is part of the theme issue ‘Current developments in elastic and acoustic metamaterials science (Part 1).’

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Section: Introductionmentioning

confidence: 99%

Dynamic continualization of mechanical metamaterials with quasi-periodic microstructure

Del Toro,

De Bellis,

Bacigalupo

2024

Phil. Trans. R. Soc. A.

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“…In recent years, periodic structures based on the local resonance mechanism have received much attention by many scholars. It can manipulate elastic waves on subwavelength scales, and has been extensively implemented in beams [33,34], plates [35,36], wave barriers [37,38], acoustic isolation panels [39] and metasurfaces [40,41]. Regretfully, these studies do not cover the vibration mitigation performance of periodic barriers in unsaturated soils.…”

Section: Introductionmentioning

confidence: 99%

Broadband surface wave manipulation by periodic barriers in unsaturated soil

Wu,

Shi

2024

Phil. Trans. R. Soc. A.

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Periodic wave barriers have been widely used to manipulate elastic waves propagating in saturated and single-phase soil due to their attenuation zone properties. However, it is difficult to promote application of periodic barriers in unsaturated soils due to their complex constitutive relationship. In this study, manipulation of surface waves by periodic in-filled trench barriers in unsaturated soil has been studied based on the periodic theory. The dispersion relations of a periodic structure for surface waves in unsaturated soil are determined. The attenuation mechanism of evanescent surface waves is revealed. Next, the effects of several key parameters of unsaturated soil on the attenuation zones of the periodic in-filled trench barriers are comprehensively discussed. It is found that in a particular range for material parameter, the surface waves are attenuated over the entire frequency range due to the viscosity of fluid. Finally, a periodic in-filled trench barrier is designed according to a field test of ground vibration induced by a train, and its performances in mitigating surface waves propagating in unsaturated and saturated soils are conducted and compared by conducting analysis in time domain. This investigation provides a new insight for manipulating surface waves by periodic barriers. This article is part of the theme issue ‘Current developments in elastic and acoustic metamaterials science (Part 1)’.

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“…Elastic metamaterials with carefully engineered geometries in their microstructures demonstrate various peculiar dynamic effective material properties absent from natural materials and, therefore, have gained great attention in many engineering fields [1][2][3][4][5][6][7][8][9][10]. These excellent properties of metamaterials and metastructures, the metamaterial-based finite structures, are dictated by man-made microstructures and, therefore, are critically dependent on the choice of the fabrication method.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty analysis of quasi-zero stiffness metastructure for vibration isolation performance

Wang

Zhao²,

Ma³

et al. 2022

Front. Phys.

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Quasi-zero stiffness (QZS) metamaterials and metastructures have great advantages of being highly integrable and lightweight for vibration isolation in aerospace and aviation applications. However, the geometric uncertainty introduced from additive manufacturing (AM) significantly affects the metamaterial/metastructure’s vibration isolation performance and therefore, needs to be evaluated accurately and efficiently in the design process. In this study, a high-order sparse Chebyshev polynomial expansion (HOSPSCPE) method is first utilized to quantify the influence of AM-induced geometric uncertainty in the QZS microstructure. Excellent accuracy and much higher efficiency (about 470 times faster) of the proposed method are observed when compared to the widely used Monte Carlo method (MCM). Uncertainty analyses are then conducted for vibration isolation performance of the QZS metastructures and band gap properties of the QZS locally resonant metamaterials, respectively. The numerical results demonstrate that the geometric uncertainty analysis can provide useful guidance and recommendations for the manufacturing-influenced design of QZS metastructures and metamaterials.

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Optimization of a type of elastic metamaterial for broadband wave suppression

Cited by 14 publications

References 52 publications

Dynamic continualization of mechanical metamaterials with quasi-periodic microstructure

Dynamic continualization of mechanical metamaterials with quasi-periodic microstructure

Broadband surface wave manipulation by periodic barriers in unsaturated soil

Uncertainty analysis of quasi-zero stiffness metastructure for vibration isolation performance

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