| Abstract: | In this work we develop a numerical test for Holder continuity and apply it and another test for continuity to the difficult problem of detecting damage in structures. We subject a thin metal plate with incremental damage to the plate changes, its filtering properties, and therefore the phase space trajectories of the response chaotic excitation of various bandwidths. Damage to the plate changes its filtering properties and therefore the phase space of the response. Because the data are multivariate (the plate is instrumented with multiple sensors) we use a singular value decomposition of the set of the output time series to reduce the embedding dimension of the response time series. We use two geometric tests to compare an attractor reconstructed from data from an undamaged structure to that reconstructed from data from a damaged structure. These two tests translate to testing for both generalized and differentiable synchronization between responses. We show loss of synchronization of responses with damage to the structure. ?? 2005 American Institute of Physics. |
| Genre: | Article |
| ProdID: | 70031615 |
| Citation Author: | Moniz, L.; Nichols, J.; Trickey, S.; Seaver, M.; Pecora, D.; Pecora, L. |
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| Citation End Page: | 10 |
| Citation Issue: | 2 |
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| Citation Language: | English |
| Citation Larger Work Title: | Chaos |
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| Citation Number Of Pages: | 10 |
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| Citation Search Results Text: | Using chaotic forcing to detect damage in a structure; 2005; Article; Journal; Chaos; Moniz, L.; Nichols, J.; Trickey, S.; Seaver, M.; Pecora, D.; Pecora, L. |
| Citation Start Page: | 1 |
| Citation Volume: | 15 |
| Citation Year: | 2005 |
| Type: | citation/reference |
| Text: | Using chaotic forcing to detect damage in a structure; 2005; Article; Journal; Chaos; Moniz, L.; Nichols, J.; Trickey, S.; Seaver, M.; Pecora, D.; Pecora, L. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DIGITAL OBJECT IDENTIFIER): | http://dx.doi.org/10.1063/1.1903203 |
| Date Other: | Sat, 1 Jan 2005 00:00 -0600 |
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