4.7 Article

The nonlinear S0 Lamb mode in a plate with a linearly-varying thickness

Journal

ULTRASONICS
Volume 94, Issue -, Pages 102-108

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.ultras.2018.11.013

Keywords

Nonlinear Lamb wave; S-0 mode; Varying thickness plates

Funding

  1. National Natural Science Foundations of China [11427809, 11874386]
  2. IACAS Young Elite Researcher Project [QNRC201615]

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The aim of this paper is to investigate propagation characteristics and the generation mechanism of the nonlinear lowest-order symmetric Lamb mode (S-0) which propagates downslope in free elastic plates with slowly linearly varying-thickness. From theoretical analyses, in a low frequency-thickness product (fd) range, the S-0 mode is slightly dispersive, it is easy to generate, and it approximately satisfies the principle of the phase velocity matching. Therefore, if a S-0 mode is excited at a proper frequency in the low fd range, the amplitude of the second harmonic wave is linearly increasing in a certain propagating-distance, which is valuable for the practical NDE application of the second harmonic wave. Moreover, numerical simulations and experiments have been carried out to validate theoretical results. Our investigation of properties of the second harmonic wave can be applied to characterize and evaluate micro-structural damages in varying-thickness waveguides.

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The nonlinear S0 Lamb mode in a plate with a linearly-varying thickness (vol 94, pg 102, 2019)

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