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Inverse Sensitivity Analysis of Singular Solutions of FRF matrix in Structural System Identification

Venkatesha, S and Rajender, R and Manohar, CS (2008) Inverse Sensitivity Analysis of Singular Solutions of FRF matrix in Structural System Identification. In: Computer Modeling in Engineering and Sciences (CMES), 37 (2). pp. 113-151.

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Abstract

The problem of structural damage detection based on measured frequency response functions of the structure in its damaged and undamaged states is considered. A novel procedure that is based on inverse sensitivity of the singular solutions of the system FRF matrix is proposed. The treatment of possibly ill-conditioned set of equations via regularization scheme and questions on spatial incompleteness of measurements are considered. The application of the method in dealing with systems with repeated natural frequencies and (or) packets of closely spaced modes is demonstrated. The relationship between the proposed method and the methods based on inverse sensitivity of eigensolutions and frequency response functions is noted. The numerical examples on a 5-degree of freedom system, a one span free-free beam and a spatially periodic multi-span beam demonstrate the efficacy of the proposed method and its superior performance vis-a-vis methods based on inverse eigensensitivity.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Tech Science Press.
Keywords: Structural system identification;singular value decomposition;regularization;closely spaced modes;near periodic structures
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 26 Aug 2009 18:27
Last Modified: 19 Sep 2010 05:29
URI: http://eprints.iisc.ernet.in/id/eprint/19690

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