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Exploring isospectral cantilever beams using electromagnetism inspired optimization technique

Dutta, Rajdeep and Ganguli, Ranjan and Mani, V (2013) Exploring isospectral cantilever beams using electromagnetism inspired optimization technique. In: SWARM AND EVOLUTIONARY COMPUTATION, 9 . pp. 37-46.

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Official URL: http://dx.doi.org/10.1016/j.swevo.2012.09.005

Abstract

Isospectral beams have identical free vibration frequency spectrum for a specific boundary condition. The problem of finding non-uniform beams which are isospectral to a given uniform beam, with fixed-free boundary condition, leads to a multimodal optimization problem. The first Q natural frequencies of the given uniform Euler-Bernoulli beam are determined using analytical solution. The first Q natural frequencies of a non-uniform beam are obtained with the help of finite element modeling. In order to obtain the non-uniform beams isospectral to a given uniform beam, an error function is designed, which calculates the difference between the spectra of the given uniform beam and the non-uniform beam. In our study, this error function is minimized using electromagnetism inspired optimization technique, a population based iterative algorithm inspired by the attraction-repulsion physics of electromagnetism. Numerical results show the existence of the isospectral non-uniform beams for a given uniform beam, which occur as local minima. Non-uniform beams isospectral to a damaged beam, are also explored using the proposed methodology to illustrate the fact that accurate structural damage identification is difficult by just frequency measurements. (C) 2012 Elsevier B.V. All rights reserved.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Keywords: Isospectral; Cantilever beam; Inverse problem; Error function; Optimization; Damage detection
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 26 Aug 2015 04:57
Last Modified: 26 Aug 2015 04:57
URI: http://eprints.iisc.ernet.in/id/eprint/52204

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