Volume 116, Number 3, November 2016
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||12 December 2016|
Generation of cumulative second-harmonic ultrasonic guided waves with group velocity mismatching: Numerical analysis and experimental validation
1 Key Laboratory of Pressure System and Safety of MOE, School of Mechanical and Power Engineering, East China University of Science and Technology - Shanghai 200237, China
2 Department of Physics, Logistics Engineering University - Chongqing 400016, China
Received: 4 October 2016
Accepted: 21 November 2016
The generation of second-harmonic Lamb waves in a homogeneous, isotropic, stress-free elastic plate is analytically and experimentally investigated. The numerical analyses show that whether the matching condition of the group velocity is satisfied or not, the integrated amplitude of a second-harmonic Lamb wave accumulates with the propagation distance when both the finite duration of the primary Lamb wave tone burst and the phase velocity matching are given. The theoretical analyses are validated by experimental measurements of an aluminium plate. Our conclusions are different from those of the previous works that reported that the group velocity matching is required for the generation of the cumulative second-harmonic Lamb waves with the finite duration of tone bursts.
PACS: 43.25.+y – Nonlinear acoustics / 43.35.+d – Ultrasonics, quantum acoustics, and physical effects of sound
© EPLA, 2016
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