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

Abstract:

:The aim of this paper is to investigate propagation characteristics and the generation mechanism of the nonlinear lowest-order symmetric Lamb mode (S0) which propagates downslope in free elastic plates with slowly linearly varying-thickness. From theoretical analyses, in a low frequency-thickness product (fd) range, the S0 mode is slightly dispersive, it is easy to generate, and it approximately satisfies the principle of the phase velocity matching. Therefore, if a S0 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.

journal_name

Ultrasonics

journal_title

Ultrasonics

authors

Hu Z,An Z,Kong Y,Lian G,Wang X

doi

10.1016/j.ultras.2018.11.013

subject

Has Abstract

pub_date

2019-04-01 00:00:00

pages

102-108

eissn

0041-624X

issn

1874-9968

pii

S0041-624X(18)30368-8

journal_volume

94

pub_type

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