Extending and lowering band gaps by multilayered locally resonant phononic crystals

Zhou, Xiaoling; Xu, Yiwei; Liu, Yu; Lv, Liangliang; Peng, Fujun; Wang, Longqi

doi:10.1016/j.apacoust.2017.12.012

Cited by 44 publications

(9 citation statements)

References 27 publications

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“…For example, Peng et al added secondary oscillators to primary oscillators to form a double-bandgap resonant structure [ 31 ]. Zhou et al proposed a kind of multi-coaxial cylindrical inclusions and found that by periodically embedding multilayer coaxial inclusions, the band gap of a local resonant phononic crystal can be extended to multiple frequency ranges, realizing the series mode of embedded oscillators [ 32 ]. However, this form of oscillator is limited by the unit cell size, which affects the number and width of band gaps [ 33 ].…”

Section: Introductionmentioning

confidence: 99%

Towards Broadband High-Frequency Vibration Attenuation Using Notched Cross-Shaped Metamaterial

2023

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This paper reports a plate-type metamaterial designed by arranging unit cells with variable notched cross-sections in a periodical array for broadband high-frequency vibration attenuation in the range of 20 kHz~100 kHz. The dispersion relation and displacement field of the unit cell were calculated by simulation analysis, and the causes of the bandgap were analyzed. By studying the influence of critical structural parameters on the energy band structure, the corresponding structural parameters of a relatively wide bandgap were obtained. Finally, the plate-type metamaterial was designed by arranging unit cells with variable notched cross-sections in the periodical array, and the simulation results show that the vibration attenuation amplitude of the metamaterial can reach 99% in the frequency range of 20 kHz~100 kHz. After fabricating the designed plate-type metamaterial by 3D printing techniques, the characterization of plate-type metamaterial was investigated and the experiment results indicated that an 80% amplitude attenuation can be obtained for the suppression of vibration with the frequency of 20 kHz~100 kHz. The experimental results demonstrate that the periodic arrangement of multi-size cell structures can effectively widen the bandgap and have a vibration attenuation effect in the bandgap range, and the proposed plate-type metamaterial is promising for the vibration attenuation of highly precise equipment.

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Section: Introductionmentioning

confidence: 99%

Towards Broadband High-Frequency Vibration Attenuation Using Notched Cross-Shaped Metamaterial

2023

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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%

“…Below 3000 Hz, the band gaps cover more than 95% of the spectrum. Zhou et al [26] found that the band gaps of locally resonant phononic crystals can be extended to several frequency ranges through periodic embedding of multilayered coaxial inclusions. The frequency response of multilayered periodic structures with various numbers of cells was simulated.…”

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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“…To fabricate elastic metamaterials that can adapt to an engineering environment where low-frequency and even ultra-lowfrequency vibrations are dominant, the working frequency of the metamaterial must be considered. Therefore, designing effective elastic metamaterials with unconventional local resonators aiming at working in the low-frequency region and then adapting to practical environments has become a challenging problem, and various efforts have been made to lower the band gap frequencies of elastic metamaterial [22][23][24][25][26][27]. A torsional high-static-low-dynamic stiffness (HSLDS) local resonator to substantially reduce the stiffness by the negative-stiffness mechanism was proposed by Wang et al [24].…”

Section: Introductionmentioning

confidence: 99%

Elastic metamaterial shaft with a stack-like resonator for low-frequency vibration isolation

Fan

Chen

et al. 2019

J. Phys. D: Appl. Phys.

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This paper presents an elastic metamaterial shaft with a new class of stack-like resonators consisting of bonded periodically annular rubber and lead rings that support the formation of ultra-low-frequency vibration band gaps because of reduced stiffness resulting from the discretized rubber rings. By using finite element method, the band structures and the transmission power spectra of the proposed metamaterial shaft are investigated. Subsequently, the mechanism of the band gaps is illustrated by analyzing the displacement fields of extracted mode shapes at the edge of band gaps. Lastly, finite element method is used to explore the effects of geometrical parameters on the band gaps. The related results confirm the very-low-frequency vibration mitigation performance of the proposed meta-shaft below 120 Hz and indicate there is a complete bandgap in which flexural, longitudinal and torsional vibration can be simultaneously attenuated. Moreover, multiple flexural band gaps are observed in the concerned region of frequencies in our design, and the mechanism behind this characteristic is analyzed by eigenmodes. The new structure presented here can thus be used to reduce vibrations of shaft-like structures at low frequencies in the practical environment.

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Extending and lowering band gaps by multilayered locally resonant phononic crystals

Cited by 44 publications

References 27 publications

Towards Broadband High-Frequency Vibration Attenuation Using Notched Cross-Shaped Metamaterial

Towards Broadband High-Frequency Vibration Attenuation Using Notched Cross-Shaped Metamaterial

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

Elastic metamaterial shaft with a stack-like resonator for low-frequency vibration isolation

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