Generation of cumulative second harmonic of generalized Lamb-wave propagation in a solid waveguide

In this article, we have demonstrated that cumulative second-harmonic generation of generalized Lamb-wave (GLW) propagation in a solid waveguide may be described in terms of the second-order perturbation and the technique of analysis of nonlinear reflection of acoustic waves at an interface. It is shown that there are some special cases in which the second harmonic of GLW propagation does exist the cumulative growth effect. Based on boundary and initial conditions of excitation cumulative second-harmonic solution is presented. Numerical results reveal the distortion of cumulative second-harmonic field patterns, as well as the dependence of the corresponding field patterns on the position of excitation source.