title: Using chaotic forcing to detect damage in a structure.
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.
authors.affiliation: Patuxent Wildlife Research Center, U.S. Geological Survey, Laurel, MD 20708, USA. lmoniz@usgs.gov
authors.forename: Linda
authors.initials: L
authors.lastname: Moniz
authors.forename: Jon
authors.initials: J
authors.lastname: Nichols
authors.forename: Steven
authors.initials: S
authors.lastname: Trickey
authors.forename: Mark
authors.initials: M
authors.lastname: Seaver
authors.forename: Daniel
authors.initials: D
authors.lastname: Pecora
authors.forename: Louis
authors.initials: L
authors.lastname: Pecora
mesh_terms: D015233:Models, Statistical; D008962:Models, Theoretical; D015999:Multivariate Analysis; D017711:Nonlinear Dynamics; D013269:Stochastic Processes; D013997:Time Factors