Flexural vibration band gaps in a double-side phononic crystal plate

Zhao, Haojiang; Guo, Hongwei; Li, Bingyan; Deng, Zongquan; Liu, Rongqiang

doi:10.1063/1.4927627

Cited by 37 publications

(21 citation statements)

References 22 publications

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“…Gaussian surface [44]) and the lattice symmetry of the periodic arrangement (triangular [45][46][47], square [45][46][47][48][49], hexagonal [48], honeycomb [45,49], hybrid [50,51], or random [52,53]) have direct impact on the properties of the engineered local resonance band gap, such as its width and position in the frequency domain. Having pillars on both sides of a plate provide an additional avenue for enriching the design space [54][55][56][57][58]. Given that local resonance behavior does not depend on periodicity, a hybridization band gap may appear in aperiodic or disordered systems [23,52,53].…”

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confidence: 99%

Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

et al. 2021

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The introduction of engineered resonance phenomena on surfaces has opened a new frontier in surface science and technology. Pillared phononic crystals, metamaterials, and metasurfaces are an emerging class of artificial structured materials, featuring surfaces, that consist of pillars-or branching substructures-standing on a substrate or a plate. A pillared phononic crystal exhibits Bragg band gaps while a pillared metamaterial may feature both Bragg gaps and local-resonance hybridization gaps. These two band-gap phenomena, along with other unique wave dispersion characteristics, have been exploited for a variety of applications spanning a range of length scales and covering multipe disciplines in applied physics and engineering. The placement of pillars on a semi-infinite surface has similarly provided new avenues for the control and manipulation of wave propagation, including Rayleigh and Love waves along the surface of substrates, as well as Lamb waves in plates-for frequencies ranging from Hz to several GHz. Even a finite placement of pillars along specific directions on a surface has been shown to offer unique functionality, such as steering a wavefront in the subwavelength regime. At the nanoscale, pillared membranes have been investigated and it was shown that atomic-scale resonances-stemming from the nanopillars-alter the fundamental nature of conductive thermal transport by reducing the group velocities and generating mode localization across the entire spectrum well into the THz regime. In this article, we first overview the history and development of pillared materials, then provide a detailed synopsis of a selection of key research topics that involve the utilization of pillars in different contexts. The following sections present a review of different configurations, properties, and 2 characteristics, namely: (i) fundamental vibrational and propagation properties of pillared plates; (ii) metamaterial phenomena in pillared plates including the opening of low and wide hybridization band gaps as well as super-resolution focusing; (iii) pillared metasurfaces and their wave steering functions;(iv) topologically protected phononic edge states in pillared plates; and (v) nanophononic metamaterials in the form of pillared membranes exhibiting exceptionally low in-plane thermal conductivity. Finally, we conclude by providing a short summary on the salient properties of pillared materials and structures and outlining some perspectives on the state of the field and its promise for further future development.

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confidence: 99%

Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

et al. 2021

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“…In order to investigate the vibration characteristics of the proposed elastic metamaterial plate, the band structures are calculated by using the FEM which has been proved to be an efficient method in previous works [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. For the calculation of the dispersion relations, an infinite periodic structure is considered with periodic boundary conditions applied on the interfaces among the adjacent unite cells according to the Bloch-Floquet theorem and the Bloch wave k is introduced.…”

Section: Methodsmentioning

confidence: 99%

“…He found that the dispersion curves and the appearance of the incident plate mode-dependent spectral gaps of the PC plate can be modulated by changing the orientation of the aniso tropic materials in the square lattice. Subsequently, a series of low-frequency locally resonance band gaps PC plates with similar structures were reported [25][26][27][28][29]. Because of their distinctive properties with negative dynamic effective parameters, the local resonance PCs are also called acoustic/ elastic metamaterials.…”

Section: Introductionmentioning

confidence: 99%

The two-degree-of-freedom local resonance elastic metamaterial plate with broadband low-frequency bandgaps

et al. 2017

J. Phys. D: Appl. Phys.

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A theoretical model of a new type of two-degree-of-freedom local resonance mass-spring system with the resonator considering vertical and rotational vibration (the moment of inertia) is proposed to generate a negative effective mass over specific frequency ranges. Based on the theoretical analysis, a novel elastic metamaterial plate is designed. The flexural vibration band structures as well as the transmission spectrum of the metamaterial plate are investigated by using the finite element method. Subsequently, the formation mechanism of the band gaps is analyzed by studying the displacement field of the eigenmodes at the band gap edges. At last, the effects of the geometrical parameters on the flexural vibration band gaps (FVBGs) are studied and discussed in detail. The related results well confirm that the two-degree-of-freedom metamaterial shows negative mass density in two distinctive asymptotic regions, and the proposed elastic metamaterial plate has two FVBGs with the total width of 94.45 Hz below 200 Hz. The magnitude of torques introduced into the local resonance system can obviously affect the locations of the FVBGs. For the elastic metamaterial plate with thick local resonance lead plate and weak rubber is appropriate to obtain a lower gap, but the total width of the FVBGs becomes narrow. However, it does just the opposite for the condition with thin local resonance lead plate and strong rubber. For the double-side stubbed plate, it can enhance the coupling of the flexural traveling wave and the local resonance modes, which can greatly enlarge the bandwidths. The new working mechanism and the related calculation results of the designed structures would provide an effective way for elastic metamaterial plate to broaden the FVBGs at low frequencies, which has potential applications in low-frequency vibration and noise attenuation.

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“…The field has progressed to theoretical, numerical and experimental realisations of broadband low-frequency vibration isolation, e.g. for plates with cavities [8] or attached pillars [9,10] or a combination of cavities and pillars [11,12], and porous structures that simultaneously isolate both acoustic and elastic vibrations [13].…”

Section: Introductionmentioning

confidence: 99%

Effective properties of acoustic metamaterial chains with low-frequency bandgaps controlled by the geometry of lightweight mass-link attachments

Bennetts

Peter

Dylejko

et al. 2019

Journal of Sound and Vibration

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The effective mass of an acoustical metamaterial chain, which consists of a modified monatomic chain with a lightweight attached mass-link system, is derived and used to analyse its low-frequency vibration-isolation properties. The effective mass is expressed in terms of the resonant and antiresonant frequencies of a basic element of the chain, and it is shown that the geometry of the attached system can be used to lower the resonant and anti-resonant frequencies, in turn lowering the bandgap of the chain, and producing efficient low-frequency vibration isolation with lightweight attached masses. In certain parameter limits, the chain is shown to degenerate to two previously proposed chains with contrasting band structures, and this provides insights into controlling the underlying vibration-isolation mechanisms. Numerical simulations are presented that illustrate the efficiency of the proposed system in terms of minimising transmission of a low-frequency incident wave packet with only two units of the attached system.

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Flexural vibration band gaps in a double-side phononic crystal plate

Cited by 37 publications

References 22 publications

Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

The two-degree-of-freedom local resonance elastic metamaterial plate with broadband low-frequency bandgaps

Effective properties of acoustic metamaterial chains with low-frequency bandgaps controlled by the geometry of lightweight mass-link attachments

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