Lamb wave band gaps in one-dimensional radial phononic crystal plates with periodic double-sided corrugations

2015 ◽  
Vol 476 ◽  
pp. 82-87 ◽  
Author(s):  
Yinggang Li ◽  
Tianning Chen ◽  
Xiaopeng Wang ◽  
Suobin Li
Keyword(s):  
Lamb Wave ◽  
Phononic Crystal ◽  
Band Gaps ◽  
Wave Band ◽  
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.

Lamb wave band gaps in locally resonant phononic crystal strip waveguides

2012 ◽  
Vol 376 (4) ◽  
pp. 579-583 ◽  
Author(s):  
Yuanwei Yao ◽  
Fugen Wu ◽  
Xin Zhang ◽  
Zhilin Hou
Keyword(s):  
Lamb Wave ◽  
Phononic Crystal ◽  
Band Gaps ◽  
Wave Band

Lamb wave band gaps in a homogeneous plate with inclined cylindrical dots

2014 ◽  
Vol 28 (16) ◽  
pp. 1450113 ◽  
Author(s):  
Weihua Chen ◽  
Peng Wang
Keyword(s):  
Lamb Wave ◽  
Phononic Crystal ◽  
Power Spectra ◽  
Band Gaps ◽  
Geometrical Parameters ◽  
Wave Band ◽  
Displacement Fields ◽  
Homogeneous Plate ◽  
Total Displacement ◽  
Square Array

We report on the theoretical analysis of locally resonant sonic band gaps (BGs) in a phononic crystal (PC) structure constituted by a square array of inclined cylindrical dots deposited on a thin homogeneous plate. Based on an efficient finite element method (FEM), we show that the PC plate with inclined dots can lower Lamb wave BGs due to a weak localized resonance of the edge of the upper surface of the inclined dots. The BGs can be effectively shifted by changing the value of the incline. The total displacement fields are computed to explain how the inclined dot induces the lowering of the locally resonant BGs. Transmission power spectra (TPS) are calculated to demonstrate the existence of the BGs and it matches well with the band structure. BGs evolution as a function of geometrical parameters of the PC plate with inclined dot is also studied.

Flexural Wave Band Gaps in Phononic Crystal Thick Plates with Defects

2019 ◽  
Author(s):  
Edson Jansen Pedrosa de Miranda Junior ◽  
Jose Maria Campos dos Santos
Keyword(s):  
Phononic Crystal ◽  
Band Gaps ◽  
Flexural Wave ◽  
Wave Band ◽  
Thick Plates
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