Using chaotic forcing to detect damage in a structure
Chaos
By: L. Moniz, J. Nichols, S. Trickey, M. Seaver, D. Pecora, and L. Pecora
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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.
Suggested Citation
Moniz, L., Nichols, J., Trickey, S., Seaver, M., Pecora, D., and Pecora, L., 2005, Using chaotic forcing to detect damage in a structure: Chaos, v. 15, 023106, 10 p., https://doi.org/10.1063/1.1903203.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Using chaotic forcing to detect damage in a structure |
| Series title | Chaos |
| DOI | 10.1063/1.1903203 |
| Volume | 15 |
| Publication Date | May 11, 2005 |
| Year Published | 2005 |
| Language | English |
| Publisher | American Institute of Physics |
| Publisher location | Woodbury, N.Y. |
| Contributing office(s) | Patuxent Wildlife Research Center |
| Description | 023106, 10 p. |