Observation of the dispersion of wedge waves propagating along cylinder wedge with different truncations by laser ultrasound technique

Наблюдение дисперсии клиновых волн, распространяющихся по цилиндрическому клину с различной усечённостью, методом лазерной ультразвуковой диагностики
Jing Jia, Xueping Jing, Yu Zhang, Bang Q. Han
2017-10-24

cylinder wedgedispersion curvesfinite element methodlaser ultrasoundwedge waves
The research focuses on study the influence of truncations on the dispersion of wedge waves propagating along cylinder wedge with different truncations by using the laser ultrasound technique. The wedge waveguide models with different truncations were built by using finite element method (FEM). The dispersion curves were obtained by using 2D Fourier transformation method. Multiple mode wedge waves were observed, which was well agreed with the results estimated from Lagasse’s empirical formula. We established cylinder wedge with radius of 3mm, 20° and 60°angle, with 0μm, 5μm, 10μm, 20μm, 30μm, 40μm, and 50μm truncations, respectively. It was found that non-ideal wedge tip caused abnormal dispersion of the mode of cylinder wedge, the modes of 20° cylinder wedge presents the characteristics of guide waves which propagating along hollow cylinder as the truncation increasing. Meanwhile, the modes of 60° cylinder wedge with truncations appears the characteristics of guide waves propagating along hollow cylinder, and its mode are observed clearly. The study can be used to evaluate and detect wedge structure.
1
2D Fourier transformation of measured signals produced dispersion curves showing multiple wedge-wave modes that agree with Lagasse’s empirical formula.
2
Finite element method models and laser ultrasound experiments were used to study how tip truncations affect dispersion of wedge waves on cylinder wedges.
3
For a 20° cylinder wedge (radius 3 mm), increasing truncation (0–50 μm) causes modes to develop guided-wave characteristics propagating along a hollow cylinder.
4
For a 60° cylinder wedge with truncations, modes also exhibit clear guided-wave characteristics propagating along a hollow cylinder and are clearly observed.
5
Non-ideal (truncated) wedge tips cause abnormal dispersion of cylinder-wedge modes.
6
The observed dependence of wedge-wave dispersion on truncation can be applied to evaluate and detect wedge structure.

Cylinder wedge waveguide models with varying tip truncations (cylindrical wedges of radius 3 mm and apex angles 20° and 60° with truncations 0–50 µm)

Influence of tip truncations on the dispersion and mode characteristics of wedge waves propagating along cylindrical wedges, observed experimentally by laser ultrasound and modeled by FEM/2D Fourier analysis

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2017-10-24
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Jing Jia
Xueping Jing
Yu Zhang
Bang Q. Han
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