弹簧(装置)
非线性系统
波长
谐波
数学分析
广义相对论的精确解
长波限
极限(数学)
摄动(天文学)
振幅
边值问题
接口(物质)
物理
数学
光学
机械
凝聚态物理
热力学
最大气泡压力法
气泡
电压
量子力学
作者
Zhisheng An,Xiaomin Wang,Mingxi Deng,Jie Mei,Mingxuan Li
出处
期刊:Wave Motion
[Elsevier BV]
日期:2013-03-01
卷期号:50 (2): 295-309
被引量:24
标识
DOI:10.1016/j.wavemoti.2012.09.004
摘要
The solution for second-harmonic fields accompanying an acoustic wave propagating through an interface layer between two solids has been obtained within a second-order perturbation. An approximate boundary model termed as a “nonlinear spring model” has been rigorously developed using an asymptotic expansion of the exact solution in the limit of small ratio of interface layer thickness to wavelength. The applicability of the above model is analyzed by comparison with the exact solution. It is shown that the accuracy of the nonlinear spring model is closely related to some parameters such as the ratio of interface layer thickness to wavelength, and mass densities of layer material to substrates. Parameters that affect the amplitudes of the second harmonics generated at the interface are analyzed by using the nonlinear spring model.
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