An efficient closed-form solution for acoustic emission source location in three-dimensional structures

This paper presents a three-dimensional analytical solution for acoustic emission source location using time difference of arrival (TDOA) measurements from N receivers, N⩾5. The nonlinear location equations for TDOA are simplified to linear equations, and the direct analytical solution is obtained by solving the linear equations. There are not calculations of square roots in solution equations. The method solved the problems of the existence and multiplicity of solutions induced by the calculations of square roots in existed close-form methods. Simulations are included to study the algorithms' performance and compare with the existing technique.

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Acoustic Emission Source Location Monitoring of Laboratory-Scale Hydraulic Fracturing of Coal Under True Triaxial Stress

Natural Resources Research ◽

10.1007/s11053-021-09821-9 ◽

2021 ◽

Author(s):

Nan Li ◽

Weichen Sun ◽

Bingxiang Huang ◽

Dong Chen ◽

Shaohua Zhang ◽

...

Keyword(s):

Acoustic Emission ◽

Hydraulic Fracturing ◽

Source Location ◽

Laboratory Scale ◽

Triaxial Stress ◽

Emission Source ◽

True Triaxial ◽

Acoustic Emission Source ◽

True Triaxial Stress

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Acoustic emission source location in composite structure by Voronoi construction using geodesic curve evolution

The Journal of the Acoustical Society of America ◽

10.1121/1.3224736 ◽

2009 ◽

Vol 126 (5) ◽

pp. 2324-2330 ◽

Cited By ~ 6

Author(s):

R. Gangadharan ◽

G. Prasanna ◽

M. R. Bhat ◽

C. R. L. Murthy ◽

S. Gopalakrishnan

Keyword(s):

Acoustic Emission ◽

Composite Structure ◽

Source Location ◽

Emission Source ◽

Curve Evolution ◽

Geodesic Curve ◽

Acoustic Emission Source

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Induction Proof for a General Exponential Integral Formula

Perceptual and Motor Skills ◽

10.2466/pms.1995.80.2.424 ◽

1995 ◽

Vol 80 (2) ◽

pp. 424-426

Author(s):

Frank O'Brien ◽

Sherry E. Hammel ◽

Chung T. Nguyen

Keyword(s):

Closed Form ◽

Integral Formula ◽

Dimensional Space ◽

Three Dimensional ◽

Closed Form Solution ◽

Form Solution ◽

Probability Method ◽

Exponential Integral ◽

Need To Evaluate ◽

Three Dimensional Space

The authors' Poisson probability method for detecting stochastic randomness in three-dimensional space involved the need to evaluate an integral for which no appropriate closed-form solution could be located in standard handbooks. This resulted in a formula specifically calculated to solve this integral in closed form. In this paper the calculation is verified by the method of mathematical induction.

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Reconstruction of three-dimensional maps based on closed-form solutions of the variational problem of multisensor data registration

Доклады Академии наук ◽

10.31857/s0869-56524846672-677 ◽

2019 ◽

Vol 484 (6) ◽

pp. 672-677

Author(s):

A. V. Vokhmintcev ◽

A. V. Melnikov ◽

K. V. Mironov ◽

V. V. Burlutskiy

Keyword(s):

Closed Form ◽

Large Scale ◽

Three Dimensional ◽

Dynamic Environment ◽

Closed Form Solution ◽

Point Clouds ◽

Accurate Method ◽

Form Solution ◽

Closed Form Solutions ◽

Reconstruction Methods

A closed-form solution is proposed for the problem of minimizing a functional consisting of two terms measuring mean-square distances for visually associated characteristic points on an image and meansquare distances for point clouds in terms of a point-to-plane metric. An accurate method for reconstructing three-dimensional dynamic environment is presented, and the properties of closed-form solutions are described. The proposed approach improves the accuracy and convergence of reconstruction methods for complex and large-scale scenes.

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