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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 290686, 6 pages
http://dx.doi.org/10.1155/2014/290686
Research Article

An Analytical Solution for Acoustic Emission Source Location for Known P Wave Velocity System

1School of Resources and Safety Engineering, Central South University, Changsha 410083, China
2School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710129, China

Received 31 December 2013; Revised 24 February 2014; Accepted 25 February 2014; Published 27 March 2014

Academic Editor: Massimo Scalia

Copyright © 2014 Longjun Dong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents a three-dimensional analytical solution for acoustic emission source location using time difference of arrival (TDOA) measurements from N receivers, . 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.