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
2015 ◽  
Vol 29 (03) ◽  
pp. 1550002 ◽  
Author(s):  
Yinggang Li ◽  
Tianning Chen ◽  
Xiaopeng Wang

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.


AIP Advances ◽  
2019 ◽  
Vol 9 (11) ◽  
pp. 115201 ◽  
Author(s):  
Luyang Feng ◽  
Kan Huang ◽  
Jiujiu Chen ◽  
JiCheng Luo ◽  
Hongbo Huang ◽  
...  

2012 ◽  
Vol 26 (23) ◽  
pp. 1250133 ◽  
Author(s):  
HONG-BO ZHANG ◽  
JIU-JIU CHEN ◽  
XU HAN

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.


Pramana ◽  
2014 ◽  
Vol 83 (6) ◽  
pp. 1003-1013
Author(s):  
ZHIQIANG FU ◽  
SHUYU LIN ◽  
SHI CHEN ◽  
XIAOJUN XIAN ◽  
CHENGHUI WANG

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