Sensitivity of Eigen Value to Damage and Its Identification

Raghuprasad, BK and Lakshmanan, N and Gopalakrishnan, N and Muthumani, K (2008) Sensitivity of Eigen Value to Damage and Its Identification. In: SDHM (Structural Durability & Health Monitoring), 4 (3). pp. 117-144.

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Abstract

The reduction in natural frequencies,however small, of a civil engineering structure, is the first and the easiest method of estimating its impending damage. As a first level screening for health-monitoring, information on the frequency reduction of a few fundamentalmodes can be used to estimate the positions and the magnitude of damage in a smeared fashion. The paper presents the Eigen value sensitivity equations, derived from first-order perturbation technique, for typical infra-structural systems like a simply supported bridge girder, modelled as a beam, an endbearing pile, modelled as an axial rod and a simply supported plate as a continuum dynamic system. A discrete structure, like a building frame is solved for damage using Eigen-sensitivity derived by a computationalmodel. Lastly, neural network based damage identification is also demonstrated for a simply supported bridge beam, where the known-pairs of damage-frequency vector is used to train a neural network. The performance of these methods under the influence of measurement error is outlined. It is hoped that the developed method could be integrated in a typical infra-structural management program, such that magnitudes of damage and their positions can be obtained using acquired natural frequencies, synthesized from the excited/ambient vibration signatures.

Item Type:	Journal Article
Publication:	SDHM (Structural Durability & Health Monitoring)
Publisher:	Tech science press
Additional Information:	Copyright for this article belongs to Tech science press.
Keywords:	Eigen value sensitivity, Damage prediction;Structural health monitoring;Infrastructural system; Perturbation Analysis;Inverse Problem
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	17 Mar 2010 11:58
Last Modified:	25 Oct 2018 07:20
URI:	http://eprints.iisc.ac.in/id/eprint/26204

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