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
aSchool of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China; bDepartment 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.
Received: 02 April 2008
Revised: 14 May 2008
Accepted manuscript online:
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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