1. Second Harmonic Generation of Lamb Wave in Numerical Perspective
- Author
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Fu-Zhen Xuan, Yanxun Xiang, Wujun Zhu, Mingxi Deng, and Chang-Jun Liu
- Subjects
010302 applied physics ,Physics ,Wave propagation ,Acoustics ,Mathematical analysis ,Phase (waves) ,General Physics and Astronomy ,Second-harmonic generation ,02 engineering and technology ,021001 nanoscience & nanotechnology ,01 natural sciences ,Lamb waves ,Amplitude ,0103 physical sciences ,Harmonic ,Group velocity ,Physics::Atomic Physics ,Phase velocity ,0210 nano-technology - Abstract
The influences of phase and group velocity matching on cumulative second harmonic generation of Lamb waves are investigated in numerical perspective. Finite element simulations of nonlinear Lamb wave propagation are performed for Lamb wave mode pairs with exact and approximate phase velocity matching, with and without group velocity matching, respectively. The evolution of time-domain second harmonic Lamb waves is analyzed with the propagation distance. The amplitudes of primary and second harmonic waves are calculated to characterize the acoustic nonlinearity. The results verify that phase velocity matching is necessary for generation of the cumulative second harmonic Lamb wave in numerical perspective, while group velocity matching is demonstrated to not be a necessary condition.
- Published
- 2016
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