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Estimation of reflection and transmission coefficients using the spectral element method: application to crack modelling in beams.

Estimation of reflection and transmission coefficients using the spectral element method: application to crack modelling in beams.
Estimation of reflection and transmission coefficients using the spectral element method: application to crack modelling in beams.
The scattering of axial and flexural waves by a crack in an otherwise uniform beam is considered. Finite element analysis (FEA) is used to determine the dynamic stiffness matrix of a section of beam containing a single-edge transverse crack. Reflection and transmission matrices for the crack are estimated by combining the FEA with a spectral element model of the beam. The analysis clearly shows the existence of wave-mode conversion between the flexural and axial waves, an effect unaccounted for by conventional lumped-spring models of cracks. The magnitude of the reflection coefficient for certain sizes of crack also suggests that detection of the reflected flexural wave could be used for crack detection.
noise engineering, vibration engineering, ISMA
9073802822
187-200
Shone, Simon
9d8bdf79-e95a-407d-abc1-b4f1aa063963
Mace, Brian
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Waters, Tim
348d22f5-dba1-4384-87ac-04fe5d603c2f
Shone, Simon
9d8bdf79-e95a-407d-abc1-b4f1aa063963
Mace, Brian
cfb883c3-2211-4f3a-b7f3-d5beb9baaefe
Waters, Tim
348d22f5-dba1-4384-87ac-04fe5d603c2f

Shone, Simon, Mace, Brian and Waters, Tim (2004) Estimation of reflection and transmission coefficients using the spectral element method: application to crack modelling in beams. ISMA 2004, International Conference on Noise and Vibration Engineering, Leuven, Belgium. 19 - 21 Sep 2004. pp. 187-200 .

Record type: Conference or Workshop Item (Other)

Abstract

The scattering of axial and flexural waves by a crack in an otherwise uniform beam is considered. Finite element analysis (FEA) is used to determine the dynamic stiffness matrix of a section of beam containing a single-edge transverse crack. Reflection and transmission matrices for the crack are estimated by combining the FEA with a spectral element model of the beam. The analysis clearly shows the existence of wave-mode conversion between the flexural and axial waves, an effect unaccounted for by conventional lumped-spring models of cracks. The magnitude of the reflection coefficient for certain sizes of crack also suggests that detection of the reflected flexural wave could be used for crack detection.

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More information

Published date: 2004
Additional Information: Poster session POS3A (ID 206)
Venue - Dates: ISMA 2004, International Conference on Noise and Vibration Engineering, Leuven, Belgium, 2004-09-19 - 2004-09-21
Keywords: noise engineering, vibration engineering, ISMA

Identifiers

Local EPrints ID: 28127
URI: http://eprints.soton.ac.uk/id/eprint/28127
ISBN: 9073802822
PURE UUID: 81cd4ed3-8870-4837-b137-157cb0d34586
ORCID for Brian Mace: ORCID iD orcid.org/0000-0003-3312-4918

Catalogue record

Date deposited: 02 May 2006
Last modified: 12 Dec 2021 03:15

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Contributors

Author: Simon Shone
Author: Brian Mace ORCID iD
Author: Tim Waters

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