Manipulation of the first stop band in periodically corrugated elastic layers via different profiles

Bibi, Aysha; Liu, Huan; Xue, Jiu-Ling; Fan, Ya-Xian

doi:10.1016/j.wavemoti.2019.04.008

Cited by 12 publications

(4 citation statements)

References 20 publications

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“…Periodic structures, which can be obtained by the repetition of a representative unit cell, are known for their ability to manipulate waves [12], leading to applications in mechanical systems such as vibration attenuation, imaging, and cloaking [13,14]. A remarkable feature that can be found in a specific class of periodic structures named phononic crystals (PCs) [15] is that impedance mismatches achieved, for instance, by using spatial modulations in single-phase materials [16][17][18][19] or by combining materials with contrasting elastic properties [20][21][22] can lead to the occurrence of frequency ranges named band gaps (BGs). Such frequency ranges are typically created in PCs by the destructive interference of waves (Bragg scattering) [23], thus prohibiting free wave propagation due to the resulting purely evanescent behavior of waves [24,25].…”

Section: Introductionmentioning

confidence: 99%

Wave attenuation in viscoelastic hierarchical plates

Poggetto

Miranda

Santos

et al. 2022

International Journal of Mechanical Sciences

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Section: Introductionmentioning

confidence: 99%

Wave attenuation in viscoelastic hierarchical plates

Poggetto

Miranda

Santos

et al. 2022

International Journal of Mechanical Sciences

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“…Previous studies designed periodically stiffened plates to isolate vibrations using band gap phenomena Hong et al (2018). The band gaps in the corrugated beam Pelat et al (2019); Bibi et al (2019), the periodic bi-layer beam Guo and Sheng (2018), and the periodic beam with embedded acoustic black holes Tang and Cheng (2017) have also been investigated. Furthermore, a recent study optimized the thickness distribution of MPs to maximize the band gap frequency ranges using the plane wave expansion method Dal Poggetto and Arruda (2021).…”

Section: Introductionmentioning

confidence: 99%

Elastic wave attenuation in a metaplate with periodic hollow shapes for vibration suppression

Tomita

Nishigaki

Omote

2022

Journal of Vibration and Control

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Low noise and vibrations are requirements for engineering structures to realize comfort and ensure systems are environmental friendly. Periodic structures such as phononic crystals have been investigated to suppress noise and vibrations because they inhibit elastic wave propagation in the frequency ranges referred to as the band gap. This study led to the proposal of a metaplate (MP) with periodic hollow structures to form band gaps by changing the surface shapes of the thin plates. MPs such as this can be beneficial from the viewpoints of manufacturing cost and structural reliability when applied to engineering structures. To evaluate the potential ability of the proposed MP to suppress vibrations, we obtained the band gap frequency of out-of-plane deformation waves using the wave finite element method. To efficiently evaluate the band gaps, the internal degrees of freedom in a unit cell are reduced based on the modal analysis technique. Furthermore, the out-of-plane and in-plane deformation waves are separated using kinematic energy to extract the band gap related to the out-of-plane deformation waves. Based on this numerical framework, we demonstrate that periodic hollow shapes can form a band gap in the frequency range of interest in engineering problems. Moreover, the potential of the MP was investigated using hollow shape design and material selection, and the results indicate that the proposed MP is beneficial for tuning the band gap frequency in a unit cell of which the size is acceptable for engineering structures. Finally, vibration suppression caused by band gap is experimentally demonstrated via impact testing of an MP fabricated using additive manufacturing.

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“…So far, the main approach to obtain wave attenuation has involved combining materials to form the necessary impedance mismatch (Miranda Jr. and Dos Santos, 2017) or adding local resonators (Xiao et al, 2013;Nobrega et al, 2016;Dal Poggetto et al, 2019), but recent advances have shown that variations in the cross-section of specific regions of the unit cell can also lead to effective vibration reduction in one- (Sorokin, 2016;Pelat et al, 2019) and twodimensional (Tang and Cheng, 2019;Bibi et al, 2019;Dal Poggetto and Arruda, 2021) systems. In this context, designing simultaneously strong and lightweight PCs/MMs with desirable dynamic properties has been the quest of many researchers for decades.…”

Section: Introductionmentioning

confidence: 99%

Band gap enhancement in periodic frames using hierarchical structures

Poggetto

Bosia

Miniaci

et al. 2021

International Journal of Solids and Structures

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The quest for novel designs for lightweight phononic crystals and elastic metamaterials with wide low-frequency band gaps has proven to be a significant challenge in recent years. In this context, lattice-type materials represent a promising solution, providing both lightweight properties and significant possibilities of tailoring mechanical and dynamic properties. Additionally, lattice structures also enable the generation of hierarchical architectures, in which basic constitutive elements with different characteristic length scales can be combined. In this work, we propose 1D-and 2D-periodic phononic crystals made of spatial frames inspired by a spider web-based architecture. Specifically, hierarchical plane structures based on a combination of frames with a variable cross-section are proposed and exploited to open and enhance band gaps with respect to their non-hierarchical counterparts. Our results show

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Manipulation of the first stop band in periodically corrugated elastic layers via different profiles

Cited by 12 publications

References 20 publications

Wave attenuation in viscoelastic hierarchical plates

Wave attenuation in viscoelastic hierarchical plates

Elastic wave attenuation in a metaplate with periodic hollow shapes for vibration suppression

Band gap enhancement in periodic frames using hierarchical structures

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