Generation of the Cumulative Second Harmonic of the Lamb Mode in a Solid Plate Contacting a Liquid Layer
In this article second-order perturbation technique of analysis of nonlinear reflection of acoustic waves at an interface is employed to describe the physical process of generation of the second harmonic with cumulative growth effect (the cumulative second harmonic) of the Lamb mode
in a solid plate contacting a liquid layer. As in the case of generation of the second harmonic of the Lamb mode in a solid plate with two free boundaries, in general, the second harmonic arising from the nonlinear interaction of the fundamental wave does not grow with propagation distance.
However, this article shows that the second harmonic due to the bulk nonlinearities of the two materials both of the solid plate and the liquid layer can cumulate with the propagation distance once certain conditions are satisfied. The analytical solution of the cumulative second harmonic
has been formally determined satisfying boundary and initial conditions of excitation. Numerical analyses show the distortion of cumulative second-harmonic field patterns as well as the dependence of cumulative second-harmonic field patterns on the position of excitation source. The technique
of analysis in this article yields the novel physical insight into the process of generation of the cumulative second harmonic of the Lamb mode in a solid plate contacting a liquid layer.
Document Type: Research Article
Publication date: 01 March 2000
- Access Key
- Free content
- Partial Free content
- New content
- Open access content
- Partial Open access content
- Subscribed content
- Partial Subscribed content
- Free trial content