Low-frequency band gap of locally resonant phononic crystals with a dual-base plate

Zuo, Shuguang; Huang, Haidong; Wu, Xudong; Zhang, Minghai; Tianxin, Ni

doi:10.1121/1.5025041

Cited by 22 publications

(14 citation statements)

References 17 publications

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“…A second mass-spring-mass resonance of the double panel is introduced, whereby the mass m r is distributed between the plates according to the spring stiffnesses. The observed dip corresponds with the analytical prediction: f msm2 = 870 Hz [13]. Note that, since back-coupling is neglected, the proposed method goes sub 0 dB at these dips.…”

Section: Numerical Casesupporting

confidence: 71%

“…2(a)). A double panel, with a UC of 20 mm in the x-and y-direction, is envisaged with each panel 1 mm steel (Young's modulus E = 210 GPa, density ρ = 7800 kg/m 3 and Poisson's ratio ν = 0.3) resulting in the mass of each plate m = 3.12 g. The two plates are connected with a spring-mass-spring connection [13]. The point mass represents a 25% mass addition to the UC, i.e.…”

Section: Numerical Casementioning

confidence: 99%

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Ranking the Contributions of the Wave Modes to the Sound Transmission Loss of Infinite Inhomogeneous Periodic Structures

Cool

Boukadia

Belle

et al. 2022

Mechanisms and Machine Science

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In recent years, periodic structures such as metamaterials and phononic crystals have come to the fore in the search for innovative lightweight and compact noise and vibration solutions. The vibroacoustic performance of these structures is often analyzed by means of dispersion curves and/or sound transmission loss calculations, using unit cell modeling. However, the link between these two performance indicators is not always straightforward. Recently, a first step to bridge this gap was taken by Yang et al. [12] who proposed a method which allows decomposing the sound transmission of infinite in-plane homogeneous media into a sum of wave mode contributions. Despite providing useful insights in the sound transmission of homogeneous structures, this method is limited to meshes with corner degrees-of-freedom only and hence not readily applicable to arbitrarily complex, inhomogeneous periodic structures. To expand the potential of this method towards identifying the most important transmission mechanisms in periodic media, this work extends the method towards periodic inhomogeneous structures represented by unit cells with arbitrarily complex meshes. The proposed methodology is applied to a periodic double panel partition thereby demonstrating its ability to provide new insights into the sound transmission mechanisms of periodic media/structures.

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Section: Numerical Casesupporting

confidence: 71%

Section: Numerical Casementioning

confidence: 99%

Ranking the Contributions of the Wave Modes to the Sound Transmission Loss of Infinite Inhomogeneous Periodic Structures

Cool

Boukadia

Belle

et al. 2022

Mechanisms and Machine Science

View full text Add to dashboard Cite

show abstract

“…We subscribe to the definition that metamaterials are structures composed of small meta-atoms with the ability to manipulate waves at frequencies where their wavelengths are much larger than the dimensions of the structural units; furthermore, the metamaterials are not necessarily periodic structures [1][2][3][4][5][6]. In contrast, PnCs can be used to tune the wave propagation at frequencies where the wavelength is of comparable length to their periodicities [7][8][9][10][11][12]. PnCs are widely accepted as periodic structures.…”

Section: Introductionmentioning

confidence: 99%

Investigation of 2D Rainbow Metamaterials for Broadband Vibration Attenuation

et al. 2020

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Phononic crystals (PnCs) and metamaterials are widely investigated for vibration suppression owing to the bandgaps, within which, wave propagation is prohibited or the attenuation level is above requirements. The application of PnCs and metamaterials is, however, limited by the widths of bandgaps. The recently developed rainbow structures consisting of spatially varied profiles have been shown to generate wider bandgaps than periodic structures. Inspired by this design strategy, rainbow metamaterials composed of nonperiodic mass blocks in two-dimensional (2D) space were proposed in the present study. The blocks were connected by curved beams and tessellated with internal voids to adjust their masses. In order to demonstrate the effects of the rainbow design, two 2D metamaterials, with periodic and nonperiodic units, respectively, were investigated and manufactured using additive manufacturing technologies. Receptance functions, i.e., displacement frequency response functions, of the manufactured metamaterials were calculated with finite element models and measured with a testing system containing a mechanical shaker, an impedance head, and a laser Doppler vibrometer. The obtained numerical and experimental results showed that the metamaterial with rainbow blocks has extended bandgaps compared with the periodic metamaterial.

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“…However, for local resonance phonon crystals, except for the high sound transmission loss near the beginning of the band gap, the sound transmission loss (STL) in other frequency domains is very low. In order to widen the noise reduction band, scientists have made many efforts [24][25][26][27][28][29]. Dong et al [25] investigated hybrid phononic crystals; the characteristic frequency of the xy mode, transmission loss, and displacement vector were calculated using the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Effect of Cavity Structure on Acoustic Characteristics of Phononic Crystals Based on Double-Layer Plates

et al. 2020

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Localized resonance phononic crystals (LRPCs) are increasingly attracting scientists’ attention in the field of low-frequency noise reduction because of the excellent subwavelength band gap characteristics in the low-frequency band. However, the LRPCs have always had the disadvantage that the noise reduction band is too narrow. In this paper, in order to solve this problem, LRPCs based on double-layer plates with cavity structures are designed. First, the energy bands of phononic crystals plate with different thicknesses were calculated by the finite element method (FEM). At the same time, the mechanism of band gap generation was analyzed in combination with the modalities. Additionally, the influence of structure on the sound transmission loss (STL) of the phononic crystals plate and the phononic crystals cavity plates were analyzed, which indicates that the phononic crystals cavity plates have notable characteristics and advantages. Moreover, this study reveals a unique ”cavity cave” pattern in the STL diagram for the phononic crystals cavity plates, and it was analyzed. Finally, the influence of structural factors on the band structure and STL of phononic crystals cavity plates are summarized, and the theoretical basis and method guidance for the study of phononic crystals cavity plates are provided. New ideas are also provided for the future design and research of phononic crystals plate along with potential applications in low-frequency noise reduction.

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Low-frequency band gap of locally resonant phononic crystals with a dual-base plate

Cited by 22 publications

References 17 publications

Ranking the Contributions of the Wave Modes to the Sound Transmission Loss of Infinite Inhomogeneous Periodic Structures

Ranking the Contributions of the Wave Modes to the Sound Transmission Loss of Infinite Inhomogeneous Periodic Structures

Investigation of 2D Rainbow Metamaterials for Broadband Vibration Attenuation

Effect of Cavity Structure on Acoustic Characteristics of Phononic Crystals Based on Double-Layer Plates

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