Tunability of band structures in a two-dimensional magnetostrictive phononic crystal plate with stress and magnetic loadings

AbstractIn view of the influence of variability of low-frequency noise frequency on noise prevention in real life, we present a novel two-dimensional tunable phononic crystal plate which is consisted of lead columns deposited in a silicone rubber plate with periodic holes and calculate its bandgap characteristics by finite element method. The low-frequency bandgap mechanism of the designed model is discussed simultaneously. Accordingly, the influence of geometric parameters of the phononic crystal plate on the bandgap characteristics is analyzed and the bandgap adjustability under prestretch strain is further studied. Results show that the new designed phononic crystal plate has lower bandgap starting frequency and wider bandwidth than the traditional single-sided structure, which is due to the coupling between the resonance mode of the scatterer and the long traveling wave in the matrix with the introduction of periodic holes. Applying prestretch strain to the matrix can realize active realtime control of low-frequency bandgap under slight deformation and broaden the low-frequency bandgap, which can be explained as the multiple bands tend to be flattened due to the localization degree of unit cell vibration increases with the rise of prestrain. The presented structure improves the realtime adjustability of sound isolation and vibration reduction frequency for phononic crystal in complex acoustic vibration environments.

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Interface-guided mode of Lamb waves in a two-dimensional phononic crystal plate

Chinese Physics B ◽

10.1088/1674-1056/24/5/054301 ◽

2015 ◽

Vol 24 (5) ◽

pp. 054301 ◽

Cited By ~ 1

Author(s):

Ping-Ping Huang ◽

Yuan-Wei Yao ◽

Fu-Gen Wu ◽

Xin Zhang ◽

Jing Li ◽

...

Keyword(s):

Lamb Waves ◽

Phononic Crystal ◽

Crystal Plate ◽

Two Dimensional ◽

Guided Mode

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Absolute Band Gaps in Two-Dimensional Phononic Crystal Plates

Noise Control and Acoustics ◽

10.1115/imece2006-13353 ◽

2006 ◽

Author(s):

Je´roˆme Vasseur ◽

Pierre A. Deymier ◽

Bahram Djafari-Rouhani ◽

Yan Pennec

Keyword(s):

Band Structure ◽

Phononic Crystal ◽

Plate Thickness ◽

Two Dimensional ◽

Plane Wave Expansion ◽

Elastic Band ◽

Band Structures ◽

Super Cell ◽

Order Of Magnitude ◽

Crystal Dispersion

The elastic band structures of two-dimensional phononic crystal plates are computed with the help of a super-cell plane wave expansion (PWE) method. These band structures strongly differ from the infinite 2D phononic crystal dispersion curves. In particular, these band structures exhibit surface modes and guided modes. The influence of the constituent materials, of the plate thickness and of the geometry of the array on the band structure is investigated. We focus more specifically on determining the thicknesses of the plate for which absolute forbidden bands exist. Namely, we show that absolute forbidden bands occur in the band structure if the thickness of the plate is of the same order of magnitude as the periodicity of the array of inclusions.

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4G-1 A Fast Algorithm for Calculating Band Structures in Two-Dimensional Phononic-Crystal Plates

2006 IEEE Ultrasonics Symposium ◽

10.1109/ultsym.2006.181 ◽

2006 ◽

Author(s):

J.-C. Hsu ◽

T.-T. Wu

Keyword(s):

Fast Algorithm ◽

Phononic Crystal ◽

Two Dimensional ◽

Band Structures

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Lamb waves in two-dimensional phononic crystal plate with anisotropic inclusions

Ultrasonics ◽

10.1016/j.ultras.2010.12.016 ◽

2011 ◽

Vol 51 (5) ◽

pp. 602-605 ◽

Cited By ~ 15

Author(s):

Yuanwei Yao ◽

Fugen Wu ◽

Zhilin Hou ◽

Zhang Xin

Keyword(s):

Lamb Waves ◽

Phononic Crystal ◽

Crystal Plate ◽

Two Dimensional

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Experimental Characterization of Two-Dimensional Tunable Metamaterials

Volume 2: Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Bio-Inspired Materials and Systems; Energy Harvesting ◽

10.1115/smasis2012-8087 ◽

2012 ◽

Author(s):

Tommaso Delpero ◽

Paolo Ermanni ◽

Filippo Casadei ◽

Massimo Ruzzene ◽

Andrea Bergamini

Keyword(s):

Internal Resonance ◽

Phononic Crystal ◽

Laser Doppler Vibrometer ◽

Coupled System ◽

Physical Structure ◽

Crystal Plate ◽

Two Dimensional ◽

Electrical Networks ◽

Scanning Laser Doppler Vibrometer ◽

Tuning Frequency

A periodic array of shunted piezoelectric patches is used to produce a two-dimensional metamaterial with tunable properties. The proposed configuration exploits the waveguiding capabilities of a phononic crystal plate in conjunction with a periodic arrangement of eight surface-bonded PZT disks. Each piezo transducer is connected to an independent resistive-inductive network, so that the system features an internal resonance that occurs at the tuning frequency of the shunting circuits. The dispersion relations of the resulting metamaterial are experimentally estimated through detailed mappings of the wavefield measured using a scanning laser doppler vibrometer. Experimental results indicate that the coupled system features a band structure behavior induced by the internal resonance of the electrical networks, and suggest the possibility to alter the waveguiding properties of the considered metamaterial without modifying the physical structure of the phononic crystal plate.

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Band structures of bilayer radial phononic crystal plate with crystal gliding

Journal of Applied Physics ◽

10.1063/1.4895138 ◽

2014 ◽

Vol 116 (10) ◽

pp. 104505 ◽

Cited By ~ 13

Author(s):

Ting Ma ◽

Tianning Chen ◽

Xiaopeng Wang ◽

Yinggang Li ◽

Peng Wang

Keyword(s):

Phononic Crystal ◽

Crystal Plate ◽

Band Structures

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Band structures in a two-dimensional phononic crystal with rotational multiple scatterers

International Journal of Modern Physics B ◽

10.1142/s0217979217500382 ◽

2017 ◽

Vol 31 (06) ◽

pp. 1750038 ◽

Cited By ~ 4

Author(s):

Ailing Song ◽

Xiaopeng Wang ◽

Tianning Chen ◽

Lele Wan

Keyword(s):

Sound Pressure ◽

Phononic Crystal ◽

Low Frequency ◽

Electrical Circuit ◽

Frequency Noise ◽

Transmission Spectra ◽

Two Dimensional ◽

Band Structures ◽

Unit Cells ◽

Circuit Analogy

In this paper, the acoustic wave propagation in a two-dimensional phononic crystal composed of rotational multiple scatterers is investigated. The dispersion relationships, the transmission spectra and the acoustic modes are calculated by using finite element method. In contrast to the system composed of square tubes, there exist a low-frequency resonant bandgap and two wide Bragg bandgaps in the proposed structure, and the transmission spectra coincide with band structures. Specially, the first bandgap is based on locally resonant mechanism, and the simulation results agree well with the results of electrical circuit analogy. Additionally, increasing the rotation angle can remarkably influence the band structures due to the transfer of sound pressure between the internal and external cavities in low-order modes, and the redistribution of sound pressure in high-order modes. Wider bandgaps are obtained in arrays composed of finite unit cells with different rotation angles. The analysis results provide a good reference for tuning and obtaining wide bandgaps, and hence exploring the potential applications of the proposed phononic crystal in low-frequency noise insulation.

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Low-frequency bandgaps of two-dimensional phononic crystal plate composed of asymmetric double-sided cylinder stubs

International Journal of Modern Physics B ◽

10.1142/s0217979216500296 ◽

2016 ◽

Vol 30 (07) ◽

pp. 1650029 ◽

Cited By ~ 9

Author(s):

Ailing Song ◽

Xiaopeng Wang ◽

Tianning Chen ◽

Ping Jiang ◽

Kai Bao

Keyword(s):

Phononic Crystal ◽

Low Frequency ◽

Resonant Mode ◽

Dispersion Relations ◽

Transmission Spectra ◽

Two Dimensional ◽

The Finite Element Method ◽

Frequency Range ◽

Displacement Fields ◽

Band Structures

In this paper, we theoretically investigate the propagation characteristics of Lamb wave in a two-dimensional (2D) asymmetric phononic crystal (PC) plate composed of cylinder stubs of different radius deposited on both sides of a thin homogeneous plate. The dispersion relations, transmission spectra and displacement fields of the eigenmodes are calculated by using the finite element method (FEM). Two complete bandgaps (BGs) can be found in low-frequency range and the transmission spectra coincide with the band structures. We investigate the evolution of dispersion relations with the decrease of the upper stub radius. The physical mechanism of the upper stub radius effect is also studied with the displacement fields of the unit cell. Numerical results show that the symmetry of the stub radius can remarkably influence the band structures and the asymmetric double-sided plate exhibits a new bandgap (BG) in lower frequency range due to the coupling between the lower stub’s resonant mode and the plate’s Lamb mode becomes weak and the adjacent bands separate. Moreover, we further investigate the effect of the stub height on the dispersion relations and find that the BGs shift to lower frequency regions with the increase of the stub height. In addition, the BGs’ sensitivity to the upper stub radius and the stub height is discussed. The low-frequency BGs in the proposed PC plate can potentially be used to control and insulate vibration in low frequency range.

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