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Fourier analysis of mode shapes of damaged beams

Reddy, KV and Ganguli, R (2007) Fourier analysis of mode shapes of damaged beams. In: Computers, Materials & Continua (CMC), 5 (2). pp. 79-97.

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Official URL: http://www.techscience.com/paper.asp?jnl=cmc&issue...

Abstract

This paper investigates the effect of damage on beams with fixed boundary conditions using Fourier analysis of the mode shapes in spatial domain. A finite element model is used to obtain the mode shapes of a damaged fixed-fixed beam. Then the damaged beams are studied using a spatial Fourier analysis. This approach contrasts with the typical time domain application of Fourier analysis for vibration problems. It is found that damage causes considerable change in the Fourier coefficients of the mode shapes. The Fourier coefficients, especially the higher harmonics, are found to be sensitive to both damage size and location and amplify the changes in the mode shape due to the damage. Therefore, we formulate a damage index in the form of a vector of Fourier coefficients which is robust and unique for a given damage size and damage location. The effect of noise in the mode shape data is considered and it is found that Fourier coefficients provide a useful indication of damage even in the presence of noise. Various damage levels are considered and it is found that higher modes are needed to detect small amount of damage.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Tech Science Press.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 22 Jul 2009 09:10
Last Modified: 22 Jul 2009 09:10
URI: http://eprints.iisc.ernet.in/id/eprint/18554

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