30 July 2001 Vibration-based damage assessment using local attractor variance
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Recently proposed methodologies in the field of vibration- based structural health monitoring have focused on the incorporation of statistical-based analysis. The structure in question is dynamically excited, some feature is identified for extraction from a measured data set, and that feature is classified as coming from a damaged or undamaged structure by means of some statistical approach. Perhaps the most important aspect of this new paradigm is the selection of a `feature' which accurately details the appearance, and possibly the location and scope, of the damage. In this paper we propose a feature derived from the field of nonlinear time-series analysis. Specifically, system response is classified according to the geometry of its dynamical attractor.
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Jonathan M. Nichols, Michael D. Todd, Lawrence N. Virgin, Louis M. Pecora, "Vibration-based damage assessment using local attractor variance", Proc. SPIE 4330, Smart Structures and Materials 2001: Smart Systems for Bridges, Structures, and Highways, (30 July 2001); doi: 10.1117/12.434112; https://doi.org/10.1117/12.434112

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