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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doaj-736cd68df8c542ada5aed4dac82692a22020-11-25T03:31:01ZengMDPI AGSensors1424-82202020-06-01203191319110.3390/s20113191A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave VelocityZilong Zhou0Yichao Rui1Xin Cai2Ruishan Cheng3Xueming Du4Jianyou Lu5School of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaCollege of Water Conservancy and Environmental Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaThe 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.https://www.mdpi.com/1424-8220/20/11/3191acoustic emissionsource locationwave velocityequation residuals |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zilong Zhou Yichao Rui Xin Cai Ruishan Cheng Xueming Du Jianyou Lu |
spellingShingle |
Zilong Zhou Yichao Rui Xin Cai Ruishan Cheng Xueming Du Jianyou Lu A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity Sensors acoustic emission source location wave velocity equation residuals |
author_facet |
Zilong Zhou Yichao Rui Xin Cai Ruishan Cheng Xueming Du Jianyou Lu |
author_sort |
Zilong Zhou |
title |
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_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_sort |
weighted linear least squares location method of an acoustic emission source without measuring wave velocity |
publisher |
MDPI AG |
series |
Sensors |
issn |
1424-8220 |
publishDate |
2020-06-01 |
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. |
topic |
acoustic emission source location wave velocity equation residuals |
url |
https://www.mdpi.com/1424-8220/20/11/3191 |
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