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The detection of cracks in beams using chaotic excitations

The detection of cracks in beams using chaotic excitations
The detection of cracks in beams using chaotic excitations
In the field of structural health monitoring (SHM), vibration-based SHM is one of the general approaches to detect and quantify damage to a structural system. Recently, progress has been made by using chaotic excitation signals and attractor-based analysis to detect damage in a structure. In this paper, a new approach for crack detection is explored by means of numerical simulations, using a chaotic signal as an input excitation and attractor-based measures. A cracked beam is modelled as a single degree of freedom piece-wise linear system whose stiffness is different during compression and expansion of the crack. To utilise this feature of the cracked beam, the single-phase portrait of the structural output is divided into two parts corresponding to the compression and expansion of the crack. Then the dissimiliarity between these two halves of the attractor are examined as a function of crack size. The measures introduced in this work are the half-space correlation dimension, which is the correlation dimension measured on one-half of the attractor, and the Hausdorff distance between the two attractors halves. For these two attractor-based measures, their variations are investigated with respect to crack size to find whether they are appropriate crack indicators or not.
0022-460X
627-638
Ryue, J.
d65c00b1-f94d-406f-b85c-bb9ada3ff404
White, P.R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba
Ryue, J.
d65c00b1-f94d-406f-b85c-bb9ada3ff404
White, P.R.
2dd2477b-5aa9-42e2-9d19-0806d994eaba

Ryue, J. and White, P.R. (2007) The detection of cracks in beams using chaotic excitations. Journal of Sound and Vibration, 307 (3-5), 627-638. (doi:10.1016/j.jsv.2007.06.043).

Record type: Article

Abstract

In the field of structural health monitoring (SHM), vibration-based SHM is one of the general approaches to detect and quantify damage to a structural system. Recently, progress has been made by using chaotic excitation signals and attractor-based analysis to detect damage in a structure. In this paper, a new approach for crack detection is explored by means of numerical simulations, using a chaotic signal as an input excitation and attractor-based measures. A cracked beam is modelled as a single degree of freedom piece-wise linear system whose stiffness is different during compression and expansion of the crack. To utilise this feature of the cracked beam, the single-phase portrait of the structural output is divided into two parts corresponding to the compression and expansion of the crack. Then the dissimiliarity between these two halves of the attractor are examined as a function of crack size. The measures introduced in this work are the half-space correlation dimension, which is the correlation dimension measured on one-half of the attractor, and the Hausdorff distance between the two attractors halves. For these two attractor-based measures, their variations are investigated with respect to crack size to find whether they are appropriate crack indicators or not.

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Published date: 6 November 2007

Identifiers

Local EPrints ID: 49461
URI: http://eprints.soton.ac.uk/id/eprint/49461
ISSN: 0022-460X
PURE UUID: 75a8ca27-7259-4757-a37b-eca5695bf7b6
ORCID for P.R. White: ORCID iD orcid.org/0000-0002-4787-8713

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Date deposited: 15 Nov 2007
Last modified: 16 Mar 2024 02:39

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Contributors

Author: J. Ryue
Author: P.R. White ORCID iD

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