Quasi-One-Dimensional Periodic Structure with Locally Resonant Band Gap

The propagation of longitudinal elastic waves in quasi one-dimensional structure consisting of harmonic oscillators periodically jointed on a slender beam is studied. Sub-frequency locally resonant band gap with highly asymmetric attenuation is observed in both theoretical and experimental results, and both results match well. The stiffness and mass ratios are found analytically as two factors that influence the actual attenuation in the band gap of the locally resonant phononic crystals. The study on the weights of the two factors shows that the stiffness ratio is the key one. Thus, the reason for the mismatch between the regions of the sharp attenuation and the theoretical band gap in the locally resonant phononic crystals is discovered.

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Topological Interface States in the Low-Frequency Band Gap of One-Dimensional Phononic Crystals

Physical Review Applied ◽

10.1103/physrevapplied.14.054028 ◽

2020 ◽

Vol 14 (5) ◽

Author(s):

Zheng-wei Li ◽

Xin-sheng Fang ◽

Bin Liang ◽

Yong Li ◽

Jian-chun Cheng

Keyword(s):

Band Gap ◽

Frequency Band ◽

Low Frequency ◽

Interface States ◽

Phononic Crystals ◽

One Dimensional

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Parametric Study on Rectangular Sonic Crystal

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.152-154.281 ◽

2012 ◽

Vol 152-154 ◽

pp. 281-286 ◽

Cited By ~ 5

Author(s):

Arpan Gupta ◽

Kian Meng Lim ◽

Chye Heng Chew

Keyword(s):

Band Gap ◽

Periodic Structure ◽

Parametric Study ◽

Sound Propagation ◽

Periodic Structures ◽

Sound Attenuation ◽

Experimental Results ◽

Center Frequency ◽

Sonic Crystal ◽

Sonic Crystals

Sonic crystals are periodic structures made of sound hard scatterers which attenuate sound in a range of frequencies. For an infinite periodic structure, this range of frequencies is known as band gap, and is determined by the geometric arrangement of the scatterers. In this paper, a parametric study on rectangular sonic crystal is presented. It is found that geometric spacing between the scatterers in the direction of sound propagation affects the center frequency of the band gap. Reducing the geometric spacing between the scatterers in the direction perpendicular to the sound propagation helps in better sound attenuation. Such rectangular arrangement of scatterers gives better sound attenuation than the regular square arrangement of scatterers. The model for parametric study is also supported by some experimental results.

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Orbital Effect on Carbyne Based Sensor

10.21203/rs.3.rs-233306/v1 ◽

2021 ◽

Author(s):

Mohammad Taghi Ahmadi ◽

Zahra Heidari ◽

Meisam Rahmani ◽

Mahan Ahmadi

Keyword(s):

Band Structure ◽

Band Gap ◽

Density Of States ◽

Nearest Neighbors ◽

Unit Cell ◽

Dimensional Structure ◽

Electron Interaction ◽

Structure Variation ◽

One Dimensional ◽

Orbital Effect

Abstract Carbyne material with sp-hybridized atoms has been considered as a one dimensional structure with unique properties which has been widely used in nanotechnology. In the presented work the effect of electron overlap energy in the form of electron interaction with in the unit cell and nearest neighbors is explored. In addition, the band structure variation under proposed interaction in one dimensional carbyne is investigated. The effect of overlap energy variation inside and outside the unit cell on the band gap is intended. Under proposed structure the effective mass and density of states parameters are explored. It is demonstrated that by increasing the interaction between s and p orbitals in the unit cell, the band gap increases. However, the band gap is decreased by increasing the interaction between s and p orbitals out the unit cell which can be sued as a sensing mechanism.

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Band Gap Optimization for GHz Elastic Waves in Gold Phononic Crystals

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/585/1/012051 ◽

2019 ◽

Vol 585 ◽

pp. 012051

Author(s):

Chi Zhang ◽

Qiang Liu ◽

Zhengbiao Ouyang

Keyword(s):

Band Gap ◽

Elastic Waves ◽

Phononic Crystals

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One-dimensional structure made of periodic slabs of SiO 2 /InSb offering tunable wide band gap at terahertz frequency range

Chinese Physics B ◽

10.1088/1674-1056/ab4d46 ◽

2019 ◽

Vol 28 (12) ◽

pp. 124205 ◽

Cited By ~ 4

Author(s):

Sepehr Razi ◽

Fatemeh Ghasemi

Keyword(s):

Band Gap ◽

Wide Band ◽

Dimensional Structure ◽

Terahertz Frequency ◽

Frequency Range ◽

Terahertz Frequency Range ◽

Wide Band Gap ◽

One Dimensional

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Bandgap Structures of SH-Wave in a One-Dimensional Phononic Crystal with Viscoelastic Interfaces

International Journal of Applied Mechanics ◽

10.1142/s1758825117501022 ◽

2017 ◽

Vol 09 (07) ◽

pp. 1750102 ◽

Cited By ~ 5

Author(s):

Yuhang Li ◽

Xiaoliang Zhou ◽

Zuguang Bian ◽

Yufeng Xing ◽

Jizhou Song

Keyword(s):

Periodic Structure ◽

Phononic Crystal ◽

Adhesive Layer ◽

Phononic Crystals ◽

Sh Wave ◽

Initial State ◽

Final State ◽

One Dimensional ◽

Adhesive Layers ◽

And Control

Phononic crystal is an artificial periodic structure with the ability to regulate and control the wave propagation of particular frequencies and has been widely used in many applications. The adhesive layer bonding different constituents in the periodic structure of phononic crystals is usually a viscoelastic material, which has frequency-dependent material properties. In this paper, an analytical model based on the transfer matrix method is developed to study the bandgap structures of SH-wave (a shear wave with the propagation direction normal to the motion plane) in a one-dimensional phononic crystal consisting of two different elastic constituents bonded by the viscoelastic adhesive layer. The results show that the viscosity of the adhesive layer has a significant influence on the bandgap structure at the region of high frequency. The effects of various material parameters of the viscoelastic adhesive layer such as the relaxation time, the final-state modulus and the initial-state modulus are systematically studied. These results are very helpful in the practical design of phononic crystals involving the viscoelastic adhesive layers.

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