Band gaps of lower-order Lamb wave in thin plate with one-dimensional phononic crystal layer: Effect of substrate

2008 ◽  
Vol 92 (2) ◽  
pp. 023510 ◽  
Author(s):  
Jian Gao ◽  
Xin-Ye Zou ◽  
Jian-Chun Cheng ◽  
Baowen Li
Keyword(s):  
Thin Plate ◽  
Lower Order ◽  
Lamb Wave ◽  
Phononic Crystal ◽  
Band Gaps ◽  
Crystal Layer ◽  
One Dimensional ◽  
Layer Effect

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 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 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

Flexural Vibration Band Gaps in a Ternary Phononic Crystal Thin Plate

2011 ◽  
Vol 675-677 ◽  
pp. 1085-1088
Author(s):  
Zong Jian Yao ◽  
Gui Lan Yu ◽  
Jian Bao Li
Keyword(s):  
Band Gap ◽  
Thin Plate ◽  
Mass Density ◽  
Phononic Crystal ◽  
Flexural Vibration ◽  
Expansion Method ◽  
Band Gaps ◽  
Physical Parameters ◽  
Vibration Band ◽  
Filling Fraction

The band structures of flexural waves in a ternary locally resonant phononic crystal thin plate are studied using the improved plane wave expansion method. And the thin concrete plate composed of a square array of steel cylinders hemmed around by rubber is considered here. Absolute band gaps of flexural vibration with low frequency are shown. The calculation results show that the band gap width is strongly dependent on the filling fraction, the radius ratio, the mass density and the Young’s modulus contrasts between the core and the coating. So by changing these physical parameters, the required band gap could be obtained.

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.

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