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Proceedings Paper

Lyapunov exponent maps applied to damage detection of aging nonlinear highway infrastructures
Author(s): Shuang Jin; Richard A. Livingston; Dhafer Marzougui
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Paper Abstract

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.

Paper Details

Date Published: 3 August 2001
PDF: 11 pages
Proc. SPIE 4337, Health Monitoring and Management of Civil Infrastructure Systems, (3 August 2001); doi: 10.1117/12.435617
Show Author Affiliations
Shuang Jin, Federal Highway Administration (United States)
Richard A. Livingston, Federal Highway Administration (United States)
Dhafer Marzougui, George Washington Univ. (United States)

Published in SPIE Proceedings Vol. 4337:
Health Monitoring and Management of Civil Infrastructure Systems
Steven B. Chase; A. Emin Aktan, Editor(s)

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