2020
DOI: 10.3390/s20113191
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A Weighted Linear Least Squares Location Method of an Acoustic Emission Source without Measuring Wave Velocity

Abstract: 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 b… Show more

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Cited by 22 publications
(4 citation statements)
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“…This method requires the determination of sensor coordinates and arrival times with unknown wave velocity. Zhou et al [135] presented a solution based on weighted linear least squares, which does not require to measure the wave velocity. The main equations are first linearized by establishing the mean reference equation.…”
Section: ) Source Localization With Known Velocitymentioning
confidence: 99%
“…This method requires the determination of sensor coordinates and arrival times with unknown wave velocity. Zhou et al [135] presented a solution based on weighted linear least squares, which does not require to measure the wave velocity. The main equations are first linearized by establishing the mean reference equation.…”
Section: ) Source Localization With Known Velocitymentioning
confidence: 99%
“…Generally, the optimization is carried out by the leastsquares method, correlation analysis, and optimization algorithms like the genetic algorithm and artificial intelligence algorithm. [12][13][14][15][16][17] The common feature parameters involve the cosine similarity of responses, the correlation of time history, transfer function, impulse response function, the Green function, and so on. [18][19][20][21] In addition, the development of machine learning in recent years has also provided some new methodologies for AE source localization.…”
Section: Introductionmentioning
confidence: 99%
“…This problem leads to restraint in the extensive application of the iterative methods. In comparison, the algebraic methods are more computationally attractive [ 27 , 28 ]. Kundu et al [ 29 ] gave the algebraic solution of the AE source coordinate with unknown wave velocity based on specially arranged sensor clusters.…”
Section: Introductionmentioning
confidence: 99%