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Chin. Phys. B, 2008, Vol. 17(11): 4232-4241    DOI: 10.1088/1674-1056/17/11/046
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Cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate

Xiang Yan-Xun (项延训)a, Deng Ming-Xi (邓明晰)b 
a School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China; b Department of Physics, Logistics Engineering University, Chongqing 400016, China
Abstract  The physical process of cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate is presented by using the second-order perturbation and the technique of nonlinear reflection of acoustic waves at an interface. In general, the cumulative second-harmonic generation of a dispersive guided wave propagation does not occur. However, the present paper shows that the second-harmonic of Lamb wave propagation arising from the nonlinear interaction of the partial bulk acoustic waves and the restriction of the three boundaries of the solid plates does have a cumulative growth effect if some conditions are satisfied. Through boundary condition and initial condition of excitation, the analytical expression of cumulative second-harmonic of Lamb waves propagation is determined. Numerical results show the cumulative effect of Lamb waves on second-harmonic field patterns.
Keywords:  Lamb waves      second harmonics      cumulative effect      layered plates  
Received:  02 April 2008      Revised:  14 May 2008      Accepted manuscript online: 
PACS:  68.35.Iv (Acoustical properties)  
  43.25.Dc (Nonlinear acoustics of solids)  
Fund: Project supported by the Shanghai Leading Academic Discipline Project, China (Grant No B503).

Cite this article: 

Xiang Yan-Xun (项延训), Deng Ming-Xi (邓明晰) Cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate 2008 Chin. Phys. B 17 4232

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