Symmetric and Anti-Symmetric Lamb Waves in a Two-Dimensional Phononic Crystal Plate
LI Yong1, HOU Zhi-Lin1, FU Xiu-Jun1, Badreddine M Assouar2
1Department of Physics, South China University of Technology, Guangzhou 510640 2Institut Jean Lamour (UHP-CNRS) UMR 7198, Déartement Physique de la Matiére et des Matériaux (P2M), France
Symmetric and Anti-Symmetric Lamb Waves in a Two-Dimensional Phononic Crystal Plate
LI Yong1, HOU Zhi-Lin1, FU Xiu-Jun1, Badreddine M Assouar2
1Department of Physics, South China University of Technology, Guangzhou 510640 2Institut Jean Lamour (UHP-CNRS) UMR 7198, Déartement Physique de la Matiére et des Matériaux (P2M), France
It is well known that Lamb waves in a plate with a mirror plane can be separated into two uncoupled sets: symmetric and anti-symmetric modes. Based on this property, we present a revised plane wave expansion method (PWE) to calculate the band structure of a phononic crystal (PC) plate with a mirror plane. The developed PWE method can be used to calculate the band structure of symmetric and anti-symmetric modes separately, by which the depending relationship between the partial acoustic band gap (PABG), which belongs to the symmetric and anti-symmetric modes alternatively, and the position of the scatterers can be determined. As an example of its application, the band structure of the Lamb modes in a two-dimensional PC plate with two layers of void circular inclusions is investigated. The results show that the band structure for the symmetric and anti-symmetric modes can be changed by the position of the scatterers drastically, and larger PABGs will be opened when the scatterers are inserted into the area of the plate, where the elastic potential energy is concentrated.
It is well known that Lamb waves in a plate with a mirror plane can be separated into two uncoupled sets: symmetric and anti-symmetric modes. Based on this property, we present a revised plane wave expansion method (PWE) to calculate the band structure of a phononic crystal (PC) plate with a mirror plane. The developed PWE method can be used to calculate the band structure of symmetric and anti-symmetric modes separately, by which the depending relationship between the partial acoustic band gap (PABG), which belongs to the symmetric and anti-symmetric modes alternatively, and the position of the scatterers can be determined. As an example of its application, the band structure of the Lamb modes in a two-dimensional PC plate with two layers of void circular inclusions is investigated. The results show that the band structure for the symmetric and anti-symmetric modes can be changed by the position of the scatterers drastically, and larger PABGs will be opened when the scatterers are inserted into the area of the plate, where the elastic potential energy is concentrated.
(Acoustoelectric effects and surface acoustic waves (SAW) in piezoelectrics)
引用本文:
LI Yong;HOU Zhi-Lin;FU Xiu-Jun;Badreddine M Assouar. Symmetric and Anti-Symmetric Lamb Waves in a Two-Dimensional Phononic Crystal Plate[J]. 中国物理快报, 2010, 27(7): 74303-074303.
LI Yong, HOU Zhi-Lin, FU Xiu-Jun, Badreddine M Assouar. Symmetric and Anti-Symmetric Lamb Waves in a Two-Dimensional Phononic Crystal Plate. Chin. Phys. Lett., 2010, 27(7): 74303-074303.
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2010, Vol. 27 
