文献类型：期刊文献

中文题名：Cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate

英文题名：Cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate

作者：Xiang Yan-Xun[1];Deng Ming-Xi[2]

机构：[1]E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China;[2]Logist Engn Univ, Dept Phys, Chongqing 400016, Peoples R China

年份：2008

卷号：17

期号：11

起止页码：4232

中文期刊名：Chinese Physics B

外文期刊名：CHINESE PHYSICS B

收录：CSTPCD;;EI(收录号：20091311986213);Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000261206700046)】；CSCD:【CSCD2011_2012】；

基金：Project supported by the Shanghai Leading Academic Discipline Project, China (Grant No B503)

语种：英文

中文关键词：Lamb waves;second harmonics;cumulative effect;layered plates

外文关键词：Lamb waves; second harmonics; cumulative effect; layered plates

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.
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.