Wave band gaps in two-dimensional piezoelectric/piezomagnetic phononic crystals

In this paper, band gaps for two-dimensional phononic crystals consisting of hollow square water columns immersed in a mercury host are investigated by plane-wave-expansion (PWE) method, in which cross sections of the scattering objects are hollow-square and hollow water columns are arranged in simple lattices (square, and triangular lattices). In order to regulate band gaps, we alter inner side lengths of hollow-square column, and change the filling ratio at the same time. From the results, It can be found that the band gap width and the number of the bad gaps can be changed by lattice shapes and corresponding filling fraction. This could be very useful in the design of phononic crystals band gaps and frequency filtering.

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Elastic wave band gaps tuned by configuring radii of rods in two-dimensional phononic crystals with a hybrid square-like lattice

Modern Physics Letters B ◽

10.1142/s0217984915502425 ◽

2015 ◽

Vol 29 (35n36) ◽

pp. 1550242

Author(s):

Rongqiang Liu ◽

Haojiang Zhao ◽

Yingying Zhang ◽

Honghwei Guo ◽

Zongquan Deng

Keyword(s):

Plane Wave ◽

Elastic Wave ◽

Phononic Crystals ◽

Numerical Results ◽

Band Gaps ◽

Square Lattice ◽

Wave Band ◽

Two Dimensional ◽

Plane Wave Expansion ◽

Band Structures

The plane wave expansion (PWE) method is used to calculate the band gaps of two-dimensional (2D) phononic crystals (PCs) with a hybrid square-like (HSL) lattice. Band structures of both XY-mode and Z-mode are calculated. Numerical results show that the band gaps between any two bands could be maximized by altering the radius ratio of the inclusions at different positions. By comparing with square lattice and bathroom lattice, the HSL lattice is more efficient in creating larger gaps.

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Research on the Band Gap Characteristics of Two-Dimensional Phononic Crystals Microcavity with Local Resonant Structure

Shock and Vibration ◽

10.1155/2015/239832 ◽

2015 ◽

Vol 2015 ◽

pp. 1-8 ◽

Cited By ~ 2

Author(s):

Mao Liu ◽

Pei Li ◽

Yongteng Zhong ◽

Jiawei Xiang

Keyword(s):

Band Gap ◽

Phononic Crystal ◽

Engineering Application ◽

Low Frequency ◽

Phononic Crystals ◽

Band Gaps ◽

Wave Band ◽

Two Dimensional ◽

Frequency Range ◽

Gap Characteristics

A new two-dimensional locally resonant phononic crystal with microcavity structure is proposed. The acoustic wave band gap characteristics of this new structure are studied using finite element method. At the same time, the corresponding displacement eigenmodes of the band edges of the lowest band gap and the transmission spectrum are calculated. The results proved that phononic crystals with microcavity structure exhibited complete band gaps in low-frequency range. The eigenfrequency of the lower edge of the first gap is lower than no microcavity structure. However, for no microcavity structure type of quadrilateral phononic crystal plate, the second band gap disappeared and the frequency range of the first band gap is relatively narrow. The main reason for appearing low-frequency band gaps is that the proposed phononic crystal introduced the local resonant microcavity structure. This study provides a good support for engineering application such as low-frequency vibration attenuation and noise control.

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Shear-wave band gaps tuned in two-dimensional phononic crystals with magnetorheological material

Solid State Communications ◽

10.1016/j.ssc.2012.10.040 ◽

2013 ◽

Vol 154 ◽

pp. 43-45 ◽

Cited By ~ 23

Author(s):

Zhenlong Xu ◽

Fugen Wu ◽

Zhongning Guo

Keyword(s):

Shear Wave ◽

Phononic Crystals ◽

Band Gaps ◽

Wave Band ◽

Two Dimensional

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Acoustic wave band gaps in triangular and honeycomb two‐dimensional phononic crystals

The Journal of the Acoustical Society of America ◽

10.1121/1.2933634 ◽

2008 ◽

Vol 123 (5) ◽

pp. 3280-3280

Author(s):

Fu‐Li Hsiao ◽

Abdelkrim Khelif ◽

Boujemaa Aoubiza ◽

Abdelkrim Choujaa ◽

Hanane Moubchir ◽

...

Keyword(s):

Acoustic Wave ◽

Phononic Crystals ◽

Band Gaps ◽

Wave Band ◽

Two Dimensional

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Elastic wave band gaps in 2D fractal phononic crystals

10.26678/abcm.cobem2021.cob2021-2336 ◽

2021 ◽

Author(s):

Victor Gustavo Ramos Costa Dos Santos ◽

Edson Jansen Pedrosa de Miranda Junior ◽

Jose Maria Campos dos Santos

Keyword(s):

Elastic Wave ◽

Phononic Crystals ◽

Band Gaps ◽

Wave Band

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Tunable Band Gaps of Acoustic Waves in Two-Dimensional Phononic Crystals With Reticular Band Structures

Volume 15: Sound, Vibration and Design ◽

10.1115/imece2009-13102 ◽

2009 ◽

Cited By ~ 1

Author(s):

Zi-Gui Huang ◽

Yunn-Lin Hwang ◽

Pei-Yu Wang ◽

Yen-Chieh Mao

Keyword(s):

Acoustic Waves ◽

Composite Structures ◽

Phononic Crystals ◽

Band Gaps ◽

Sound Insulation ◽

Two Dimensional ◽

The Finite Element Method ◽

Elastic Band ◽

Band Structures ◽

Elastic Band Gaps

The excellent applications and researches of so-called photonic crystals raise the exciting researches of phononic crystals. By the analogy between photon and phonon, repetitive composite structures that are made up of different elastic materials can also prevent elastic waves of some certain frequencies from passing by, i.e., the frequency band gap features also exist in acoustic waves. In this paper, we present the results of the tunable band gaps of acoustic waves in two-dimensional phononic crystals with reticular band structures using the finite element method. Band gaps variations of the bulk modes due to different thickness and angles of reticular band structures are calculated and discussed. The results show that the total elastic band gaps for mixed polarization modes can be enlarged or reduced by adjusting the orientation of the reticular band structures. The phenomena of band gaps of elastic or acoustic waves can potentially be utilized for vibration-free, high-precision mechanical systems, and sound insulation.

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