THE IMPACT OF PARAMETERS FOR ELASTIC WAVES IN A PHONONIC CRYSTAL LAYER COATED ON HALF-INFINITE UNIFORM SUBSTRATE

2009 ◽  
Vol 23 (18) ◽  
pp. 2243-2250 ◽  
Author(s):  
WU LI ◽  
TIAN YOU FAN
Keyword(s):  
Elastic Waves ◽  
Phononic Crystal ◽  
Stop Band ◽  
Band Gaps ◽  
Square Lattice ◽  
Great Effort ◽  
Crystal Layer ◽  
Qualitative Explanation ◽  
Silicon Matrix ◽  
The Impact

In this paper, we make a great effort to find out the impact of parameters for elastic wave propagation in a plate with a phononic crystal layer coated on half-infinite uniform substrate by the method of plane wave expansion, and the characteristic or the position of the band structure. In calculation, a phononic crystal consisting of circular steel cylinders that form a square lattice in a silicon matrix is considered as the layer and the substrate is formed by silicon. Our results show that there exist distinct band gaps when the substrate is correspondingly soft and infinite. The stop band of the system is demonstrated. Parameters that influence the formation of band gaps are stated. We also give a qualitative explanation of the results.

Phononic Band Gaps in Al2O3/Epoxy Composite

2018 ◽  
Vol 912 ◽  
pp. 112-117 ◽  
Author(s):  
Edson Jansen Pedrosa Miranda Jr. ◽  
J.M.C. dos Santos
Keyword(s):  
Cross Section ◽  
Transverse Vibration ◽  
Elastic Waves ◽  
Epoxy Composite ◽  
Phononic Crystal ◽  
Band Gaps ◽  
Square Lattice ◽  
Plane Wave Expansion ◽  
Phononic Band Gaps ◽  
Angle Of Rotation

In this study, we have investigated the band structure of elastic waves propagating in a phononic crystal, consisting of an epoxy matrix reinforced by Al2O3 inclusions in a square and hexagonal lattices. We also studied the influence of the inclusion geometry cross section – circular, hollow circular, square and rotated square with a 45° angle of rotation with respect to the x, y axes. The plane wave expansion (PWE) method is used to solve the wave equation considering the wave propagation in the xy plane (longitudinal-transverse vibration, XY mode, and transverse vibration, Z mode). The complete band gaps between the XY and Z modes are observed to circular, square and rotated square cross section inclusion and the best performance is for rotated square cross section inclusion in a square lattice. We suggest that the Al2O3/epoxy composite is feasible for vibrations management.

Band Gaps of SH Wave in Piezoelectric Phononic Crystal

2011 ◽  
Vol 239-242 ◽  
pp. 1486-1489
Author(s):  
Man Lan ◽  
Pei Jun Wei
Keyword(s):  
Dispersion Equation ◽  
Elastic Waves ◽  
Phononic Crystal ◽  
Stop Band ◽  
Slope Angle ◽  
Band Gaps ◽  
Pass Band ◽  
Wave Band ◽  
Sh Wave ◽  
Plane Sh Wave

The dispersive characteristic of anti-plane elastic waves propagating through laminated piezoelectric phononic crystal is studied in this paper. First, the transfer matrix method (TMM) and the Bloch theorem are used to derive the dispersion equation. Next, the dispersion equation is solved numerically and the dispersive curves are shown in Brillouin zone. The pass band and the stop band of anti-plane SH wave propagating perpendicular to and oblique to the laminated periodic structure are compared. The effects of the slope angle on the wave band structure are discussed.

Existence of complete band gaps in 2D steel-water phononic crystal with square lattice

2010 ◽  
Vol 5 (4) ◽  
pp. 450-454 ◽  
Author(s):  
Cunfu He ◽  
Huanyu Zhao ◽  
Ruiju Wei ◽  
Bin Wu
Keyword(s):  
Phononic Crystal ◽  
Band Gaps ◽  
Square Lattice

The Propagation of In-Plane Waves in Multilayered Elastic/Piezoelectric Composite Structures with Imperfect Interface

2013 ◽  
Vol 750-752 ◽  
pp. 95-98 ◽  
Author(s):  
Man Lan ◽  
Pei Jun Wei
Keyword(s):  
Dispersion Equation ◽  
Elastic Waves ◽  
Composite Structures ◽  
Mass Parameter ◽  
Phononic Crystal ◽  
Plane Waves ◽  
Stop Band ◽  
Imperfect Interface ◽  
Piezoelectric Composite ◽  
Pass Band

The dispersive characteristic of in-plane elastic waves propagating through laminated piezoelectric phononic crystal with imperfect interface is studied in this paper. First, the transfer matrix method (TMM) and the Bloch theorem are used to derive the dispersion equation. Next, the dispersion equation is solved numerically and the dispersive curves are shown in Brillouin zone. The pass band and the stop band of in-plane wave propagating normal to the laminated periodic structure with spring imperfect interface are investigated. The effects of the spring or mass parameter are discussed.

Elastic Wave Propagation in a Bio-Inspired Phononic Crystal

2020 ◽  
Vol 1012 ◽  
pp. 9-13
Author(s):  
H.V. Cantanhêde ◽  
E.J.P. Miranda Jr. ◽  
J.M.C. dos Santos
Keyword(s):  
Wave Propagation ◽  
Band Structure ◽  
Vibrational Energy ◽  
Periodic Structures ◽  
Chemical Elements ◽  
Phononic Crystal ◽  
Stop Band ◽  
Elastic Vibration ◽  
Band Gaps ◽  
Sound Waves

The wave propagation in a two-dimensional bio-inspired phononic crystal (PC) is analysed. When composite materials and structures consist of two or more different materials periodically, there will be stop band characteristic, in which there are no mechanical propagating waves. These periodic structures are known as PCs. PCs have shown an excellent potential in many disciplines of science and technology in the last decade. They have generated lots of interests due to their ability to manipulate mechanical waves like sound waves and thermal properties which are not available in nature. The physical properties of PCs are not essentially determined by chemical elements and bonds in the materials, but rather on the internal specific structures. Structures of this type have the ability to inhibit the propagation of vibrational energy over certain ranges of frequencies forming band gaps. The main purpose of this study is to investigate the band structure and especially the location and width of band gaps. For this analysis, it is used the finite element method (FEM) and plane wave expansion (PWE). The results are shown in the form of band structure and wave modes. Band structures calculated by FEM and PWE present good agreement. We suggest that the bio-inspired PC considered should be feasible for elastic vibration control.

Propagation of Lamb Waves in Phononic-Crystal Plates

2007 ◽  
Vol 23 (3) ◽  
pp. 223-228 ◽  
Author(s):  
J.-C. Hsu ◽  
T.-T. Wu
Keyword(s):  
Band Gap ◽  
Triangular Lattice ◽  
Lamb Waves ◽  
Phononic Crystal ◽  
Plate Thickness ◽  
Expansion Method ◽  
Band Gaps ◽  
Square Lattice ◽  
Pass Band ◽  
Band Structures

AbstractIn this paper, the band structures of Lamb waves in the two-dimensional phononic-crystal plates are calculated and analyzed based on the plane wave expansion method. The phononic-crystal plates are composed of an array of circular crystalline iron cylinders embedded in the epoxy matrix. Square lattice and triangular lattice are analyzed and discussed, respectively. For the square lattice, two complete band gaps exist, and a narrow pass band between the complete band gaps separates them apart. For the triangular lattice, a wide complete band gap existing with the ratio of gap width to midgap frequency Δω/ωm equal to 72% is found. Furthermore, the influence of the plate thickness is crucial for band structures of Lamb waves. Tuning plate thickness can shift the pass bands effectively, and band shifting causes the variation of the width of complete band gap and its opening and closure.

scholarly journals Band gaps of elastic waves in 1-D phononic crystal with dipolar gradient elasticity

2015 ◽  
Vol 227 (4) ◽  
pp. 1005-1023 ◽  
Author(s):  
Yueqiu Li ◽  
Peijun Wei ◽  
Yahong Zhou
Keyword(s):  
Elastic Waves ◽  
Phononic Crystal ◽  
Gradient Elasticity ◽  
Band Gaps

Study on the transmission properties of periodical and quasi-periodical phononic crystal in elastic wave

2015 ◽  
Vol 29 (34) ◽  
pp. 1550229
Author(s):  
Rui Weng ◽  
Yun Zhang ◽  
Ze-Kun Yang ◽  
Yu-Jie Liu ◽  
Bao-Liang Ma ◽  
...  
Keyword(s):  
Elastic Wave ◽  
Elastic Waves ◽  
Numerical Stability ◽  
Phononic Crystal ◽  
Fdtd Method ◽  
Band Gaps ◽  
Structure Model ◽  
Transmission Coefficients ◽  
Transmission Properties ◽  
Difference Time

The propagation of the elastic wave in phononic crystal is different from the normal uniformity medium. The finite-difference time-domain (FDTD) method is irrelevant to structure model and used widely. Moreover, when the numerical stability of FDTD iterations is satisfied, the elastic waves’ transmission property through periodical and quasi-periodical phononic crystal can be achieved. In this paper, the transmission coefficients of elastic wave through two systems are numerically calculated and the results of band gaps are analyzed. The results are helpful to study phononic crystal.

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