Numerical study of Lamb waves band structure in one-dimensional phononic crystal slabs with the anti-symmetric boundary structure

2014 ◽  
Vol 115 (6) ◽  
pp. 063510 ◽  
Author(s):  
Pingping Huang ◽  
Yuanwei Yao ◽  
Fugen Wu ◽  
Xin Zhang
Keyword(s):  
Band Structure ◽  
Lamb Waves ◽  
Numerical Study ◽  
Phononic Crystal ◽  
Boundary Structure ◽  
One Dimensional

Propagation of Lamb waves in one-dimensional radial phononic crystal plates with periodic corrugations

2014 ◽  
Vol 115 (5) ◽  
pp. 054907 ◽  
Author(s):  
Yinggang Li ◽  
Tianning Chen ◽  
Xiaopeng Wang ◽  
Kunpeng Yu ◽  
Weihua Chen
Keyword(s):  
Lamb Waves ◽  
Phononic Crystal ◽  
One Dimensional

Lamb wave band gaps in one-dimensional radial phononic crystal slabs

2015 ◽  
Vol 29 (03) ◽  
pp. 1550002 ◽  
Author(s):  
Yinggang Li ◽  
Tianning Chen ◽  
Xiaopeng Wang
Keyword(s):  
Finite Element ◽  
Axial Symmetry ◽  
Lamb Wave ◽  
Lamb Waves ◽  
Phononic Crystal ◽  
Band Gaps ◽  
Slab Thickness ◽  
Wave Band ◽  
Filling Fraction ◽  
One Dimensional

In this paper, we theoretically investigate the band structures of Lamb wave in one-dimensional radial phononic crystal (PC) slabs composed of a series of alternating strips of epoxy and aluminum. The dispersion relations, the power transmission spectra and the displacement fields of the eigenmodes are calculated by using the finite element method based on two-dimensional axial symmetry models in cylindrical coordinates. The axial symmetry model is validated by three-dimensional finite element model in Cartesian coordinates. Numerical results show that the proposed radial PC slabs can yield several complete band gaps with a variable bandwidth exist for elastic waves. Furthermore, the effects of the filling fraction and the slab thickness on the band gaps are further explored numerically. It is worth observing that, with the increase of the filling fraction, both the lower and upper edges of the band gaps are simultaneously shifted to higher frequency, which results from the enhancement interaction between the rigid resonance of the scatterer and the matrix. The slab thickness is the key parameter for the existence and the width of complete band gaps in the radial PC slabs. These properties of Lamb waves in the radial PC plates can potentially be applied to optimize band gaps, generate filters and design acoustic devices in the rotary machines and structures.

scholarly journals Magnetically tunable topological interface states for Lamb waves in one-dimensional magnetoelastic phononic crystal slabs

AIP Advances ◽  
2019 ◽  
Vol 9 (11) ◽  
pp. 115201 ◽  
Author(s):  
Luyang Feng ◽  
Kan Huang ◽  
Jiujiu Chen ◽  
JiCheng Luo ◽  
Hongbo Huang ◽  
...  
Keyword(s):  
Lamb Waves ◽  
Phononic Crystal ◽  
Interface States ◽  
One Dimensional

Lamb wave band structure in phononic crystal composed of multiple square stubs symmetric or anti-symmetric deposited on a homogeneous plate

2015 ◽  
Vol 29 (16) ◽  
pp. 1550106 ◽  
Author(s):  
X. P. Wang ◽  
P. Jiang ◽  
T. N. Chen ◽  
K. Bao
Keyword(s):  
Band Structure ◽  
Power Transmission ◽  
Lamb Waves ◽  
Phononic Crystal ◽  
Symmetric Model ◽  
Wave Band ◽  
Displacement Fields ◽  
Practical Applications ◽  
Homogeneous Plate ◽  
Symmetric Structure

This paper theoretically investigates the propagation of Lamb waves in a two-dimensional (2D) phononic crystal (PC) structure composed of multiple square stubs symmetric or anti-symmetric deposited on a thin homogeneous plate. The dispersion relations, the power transmission spectra and the displacement fields of the eigenmodes are studied by using the finite-element method (FEM). We investigate the effect of the distance between adjacent square stubs on the band gaps (BGs). The results show that the distance between adjacent square stubs can remarkably change the location and the width of the BGs. Meanwhile, we conducted a numerically study on the different results between the anti-symmetric and symmetric distribution of the scatterers. The band structure of the anti-symmetric structure PC is significantly different from the symmetric structure. In general, the distribution of the square stubs has an influence on the band structures. We further identify the physical mechanism of the distinction in the formation of the BG between the anti-symmetric and the symmetric model through the displacement fields of the eigenmodes. In addition, we find that the variation of the PC BGs in anti-symmetric and symmetric structure are sensitive to the distance between adjacent square stubs, which could be indispensable to practical applications such as BG tuning.

ONE-DIMENSIONAL PHONONIC CRYSTAL SLABS BORDERED WITH ASYMMETRIC UNIFORM LAYERS

2012 ◽  
Vol 26 (23) ◽  
pp. 1250133 ◽  
Author(s):  
HONG-BO ZHANG ◽  
JIU-JIU CHEN ◽  
XU HAN
Keyword(s):  
Band Gap ◽  
Lamb Waves ◽  
Phononic Crystal ◽  
Comsol Multiphysics ◽  
Total Thickness ◽  
Plane Wave Expansion ◽  
Fe Method ◽  
One Dimensional ◽  
Gap Width ◽  
Band Gap Width

We investigate theoretically the propagation of Lamb waves in a one-dimensional phononic crystal (PC) slabs bordered with asymmetric uniform layers based on the supercell plane wave expansion (SC-PWE) method. The validity is proved by using the finite-element (FE) method with Comsol Multiphysics 3.5a. The effect of changing the thickness of substrate and superstrate on the variation of the band gap width and frequency are studied when the total thickness of the loading layers is fixed. We also investigate the property of band gap maps by changing the total thickness or the material of the loading layers. The results show that the band structure can be tuned by changing the material or the thickness of the substrate or the superstrate. These structures may be used as filters and acoustic sensors.

One-dimensional numerical study of compressible flow ejector

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 1469-1472
Author(s):  
S. Han ◽  
J. Peddieson
Keyword(s):  
Compressible Flow ◽  
Numerical Study ◽  
One Dimensional
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