Lyapunov exponent maps applied to damage detection of aging nonlinear highway infrastructures

Aging highway structures can display complicated nonlinear dynamics behavior due to degradation of structural properties or crack damage, as well as to variations in environmental and dynamic loading conditions. This paper explores the feasibility of utilizing the spatial distribution of the Lyapunov exponents for damage detection in nonlinear bridge structures. In particular, this approach considers the chaotic nature of the response of general nonlinear highway bridges due to ambient traffic loadings in the analysis of the observed bridge response data for each monitoring locations. A novel algorithm, based on the average mutual information from observed data and a stochastic orthogonalization using polynomial chaoses, is used to efficiently extract the nonlinear bridge system invariants consisting of a set of Lyapunov exponents.

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