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Research Papers

Direct Nondestructive Algorithm for Shape Defects Evaluation

[+] Author and Article Information
Sebastián Ossandón1

Instituto de Matemática, Pontificia Universidad Católica de Valparaíso, Blanco Viel 596, Valparaíso 2340000, Chilesebastian.ossandon@ucv.cl

José Klenner

Instituto de Matemática, Pontificia Universidad Católica de Valparaíso, Blanco Viel 596, Valparaíso 2340000, Chilejose.klenner@ucv.cl

Camilo Reyes

 Centro de Modelación y Simulación del Ejército de Chile, Valenzuela Llanos 623, La Reina, Santiago 8320000, Chilecamilo.reyes@ejercito.cl

1

Corresponding author.

J. Vib. Acoust 133(3), 031006 (Mar 25, 2011) (6 pages) doi:10.1115/1.4003199 History: Received June 18, 2009; Revised August 04, 2010; Published March 25, 2011; Online March 25, 2011

An efficient numerical method based on a rigorous integral formulation is used to calculate precisely the acoustic eigenvalues of complex shaped objects and their associated eigenvectors. These eigenvalues are obtained and later used in acoustic nondestructive evaluation. This study uses the eigenvalues to implement a simple acoustic shape differentiation algorithm that is the key in our direct nondestructive analysis. Stability and convergence of the Galerkin boundary element method used herein are discussed. Finally, some numerical examples are shown.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figure 1

Domain of wave propagation

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Figure 2

The lowest eigenvalues computed, of the test example, using complex Galerkin matrices

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Figure 3

Lowest eigenvalues of the spherical cavity with a defect of 0.4 m of radius

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Figure 4

Some eigenvalues of the objects considered

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Figure 5

First feature vector

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Figure 6

Second feature vector

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Figure 7

Third feature vector

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