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Open AccessArticle

A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring Applications

by 1 and 2,*
1
The Department of Electrical Engineering, Shanghai Dianji University, Shanghai 201306, China
2
Research Center of Smart Networks and Systems, The Department of Electronic Engineering, Fudan University, Shanghai 200433, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(15), 3126; https://doi.org/10.3390/app9153126
Received: 1 March 2019 / Revised: 5 July 2019 / Accepted: 26 July 2019 / Published: 1 August 2019
(This article belongs to the Special Issue Structural Damage Detection and Health Monitoring)
To improve the reconstruction image spatial resolutions of ultrasonic guided wave ray tomography, a sparse model, based on the differences between the inspected and original slowness of the ultrasonic guided waves propagating in the plate-like or pipe-like materials, is first proposed in this paper. Unlike the conventional ultrasonic guided wave tomography whose reconstruction image resolutions are limited by an underdetermined linear model, analyses show that our new model, although it is also underdetermined, can give the optimal solution of the reconstruction image when the constraints on the sparsity of the slowness difference distribution are valid. The reason for the validation of the sparse constraints on the corrosions of the materials is explained. Based on our new model, a least absolute shrinkage and selection operator (LASSO) approach to do the thickness change mapping of a structure health monitoring (SHM) application is then formulated. Analyses also show that the visible artifacts can be avoided using our method, and the spatial resolutions of reconstruction image by our approach can further be improved by increasing the number of grids in the calculation. The approach is validated by experimental work on an aluminum plate. It is also shown that compared to the conventional ray tomography, the presented method can achieve a relatively high spatial resolution, with good suppression of artifacts. View Full-Text
Keywords: ultrasonic guided wave; LASSO; thickness mapping; material corrosions ultrasonic guided wave; LASSO; thickness mapping; material corrosions
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Gao, Y.; Zhang, J.Q. A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring Applications. Appl. Sci. 2019, 9, 3126.

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