中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4232-4241.doi: 10.1088/1674-1056/17/11/046
Cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate
邓明晰1, 项延训2
- (1)Department of Physics, Logistics Engineering University, Chongqing 400016, China; (2)School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China
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
摘要： 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.
中图分类号: (Acoustical properties)
- 68.35.Iv