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A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity

The location of an acoustic emission (AE) source is crucial for predicting and controlling potential hazards. In this paper, a novel weighted linear least squares location method for AE sources without measuring wave velocity is proposed. First, the governing equations of each sensor are established...

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Detalles Bibliográficos
Autores principales: Zhou, Zilong, Rui, Yichao, Cai, Xin, Cheng, Ruishan, Du, Xueming, Lu, Jianyou
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7309039/
https://www.ncbi.nlm.nih.gov/pubmed/32512778
http://dx.doi.org/10.3390/s20113191
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author Zhou, Zilong
Rui, Yichao
Cai, Xin
Cheng, Ruishan
Du, Xueming
Lu, Jianyou
author_facet Zhou, Zilong
Rui, Yichao
Cai, Xin
Cheng, Ruishan
Du, Xueming
Lu, Jianyou
author_sort Zhou, Zilong
collection PubMed
description The location of an acoustic emission (AE) source is crucial for predicting and controlling potential hazards. In this paper, a novel weighted linear least squares location method for AE sources without measuring wave velocity is proposed. First, the governing equations of each sensor are established according to the sensor coordinates and arrival times. Second, a mean reference equation is established by taking the mean of the squared governing equations. Third, the system of linear equations can be obtained based on the mean reference equation, and their residuals are estimated to obtain their weights. Finally, the AE source coordinate is obtained by weighting the linear equations and inserting the parameter constraint. The AE location method is verified by a pencil lead break experiment, and the results show that the locating accuracy of the proposed method is significantly higher than that of traditional methods. Furthermore, the simulation test proves that the proposed method also has a better performance (location accuracy and stability) than the traditional methods under any given scale of arrival errors.
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spelling pubmed-73090392020-06-25 A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity Zhou, Zilong Rui, Yichao Cai, Xin Cheng, Ruishan Du, Xueming Lu, Jianyou Sensors (Basel) Article The location of an acoustic emission (AE) source is crucial for predicting and controlling potential hazards. In this paper, a novel weighted linear least squares location method for AE sources without measuring wave velocity is proposed. First, the governing equations of each sensor are established according to the sensor coordinates and arrival times. Second, a mean reference equation is established by taking the mean of the squared governing equations. Third, the system of linear equations can be obtained based on the mean reference equation, and their residuals are estimated to obtain their weights. Finally, the AE source coordinate is obtained by weighting the linear equations and inserting the parameter constraint. The AE location method is verified by a pencil lead break experiment, and the results show that the locating accuracy of the proposed method is significantly higher than that of traditional methods. Furthermore, the simulation test proves that the proposed method also has a better performance (location accuracy and stability) than the traditional methods under any given scale of arrival errors. MDPI 2020-06-04 /pmc/articles/PMC7309039/ /pubmed/32512778 http://dx.doi.org/10.3390/s20113191 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Zhou, Zilong
Rui, Yichao
Cai, Xin
Cheng, Ruishan
Du, Xueming
Lu, Jianyou
A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity
title A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity
title_full A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity
title_fullStr A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity
title_full_unstemmed A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity
title_short A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity
title_sort weighted linear least squares location method of an acoustic emission source without measuring wave velocity
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7309039/
https://www.ncbi.nlm.nih.gov/pubmed/32512778
http://dx.doi.org/10.3390/s20113191
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