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

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....

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Main Authors: Yu Gao, Jian Qiu Zhang
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/9/15/3126
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author Yu Gao
Jian Qiu Zhang
author_facet Yu Gao
Jian Qiu Zhang
author_sort Yu Gao
collection DOAJ
description 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.
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spelling doaj.art-41f603eff9a9425d9902b95d395fce672022-12-22T03:16:39ZengMDPI AGApplied Sciences2076-34172019-08-01915312610.3390/app9153126app9153126A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring ApplicationsYu Gao0Jian Qiu Zhang1The Department of Electrical Engineering, Shanghai Dianji University, Shanghai 201306, ChinaResearch Center of Smart Networks and Systems, The Department of Electronic Engineering, Fudan University, Shanghai 200433, ChinaTo 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.https://www.mdpi.com/2076-3417/9/15/3126ultrasonic guided waveLASSOthickness mappingmaterial corrosions
spellingShingle Yu Gao
Jian Qiu Zhang
A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring Applications
Applied Sciences
ultrasonic guided wave
LASSO
thickness mapping
material corrosions
title A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring Applications
title_full A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring Applications
title_fullStr A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring Applications
title_full_unstemmed A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring Applications
title_short A Sparse Model of Guided Wave Tomography for Corrosion Mapping in Structure Health Monitoring Applications
title_sort sparse model of guided wave tomography for corrosion mapping in structure health monitoring applications
topic ultrasonic guided wave
LASSO
thickness mapping
material corrosions
url https://www.mdpi.com/2076-3417/9/15/3126
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