Cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate |
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Authors: | Xiang Yan-Xun and Deng Ming-Xi |
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Institution: | Department of Physics, Logistics Engineering University, Chongqing 400016, China; School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China |
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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. |
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Keywords: | Lamb waves second harmonics cumulative effect layered plates |
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