Analysis of second-harmonic generation of Lamb modes using a modal analysis approach
Analysis of second-harmonic generation of Lamb modes using a modal analysis approach
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DOI：
10.1063/1.1601312
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发表时间：
2003-09-15
影响因子：
3.2
通讯作者：
Deng, MX
中科院分区：
文献类型：
--
作者：
Deng, MX
提出了一种分析弹性板中兰姆模式二次谐波产生的有效技术。控制波传播的波动方程的非线性确保了伴随主兰姆模式传播而产生二次谐波。这种非线性可以被视为线弹性响应的二阶扰动。使用二阶微扰近似和模态分析方法，研究了兰姆模二次谐波产生的复杂问题。弹性板中兰姆模的二次谐波场被认为是一系列双频兰姆模场的叠加。该解决方案提供了对具有累积增长效应的二次谐波的生成以及相应的二次谐波解决方案的物理洞察。尽管兰姆模具有色散性，但在某些条件下二次谐波的累积增长效应确实存在。考虑了兰姆模式色散对二次谐波产生的影响。 (C) 2003 年美国物理研究所。
An effective technique for analyzing the generation of second harmonics of Lamb modes in elastic plates is presented. The nonlinearity of the wave equation governing the wave propagation ensures that there is second-harmonic generation accompanying primary Lamb mode propagation. This nonlinearity may be treated as a second-order perturbation of the linear elastic response. Using a second-order perturbation approximation and a modal analysis approach, the complicated problems of the generation of second harmonics of Lamb modes have been investigated. The fields of the second harmonics of Lamb modes in elastic plates are considered as superpositions of the fields of a series of double-frequency Lamb modes. The solutions provide physical insight into the generation of second harmonics with a cumulative growth effect, and the corresponding second-harmonic solutions. Although Lamb modes are dispersive, the cumulative growth effect of the second harmonics does exist under some conditions. The influence of Lamb mode dispersion on second-harmonic generation is considered. (C) 2003 American Institute of Physics.