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Perturbation technique for wave propagation analysis in a notched beam using wavelet spectral element modeling

Mitra, Mira and Gopalakrishnan, S and Ruzzene, Massimo and Apetre, Nicole and Hanagud, S (2008) Perturbation technique for wave propagation analysis in a notched beam using wavelet spectral element modeling. In: Journal of Mechanics of Materials and Structures, 3 (4). pp. 659-673.

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Abstract

In this paper, spectral finite element is formulated for an Euler–Bernoulli beam with through-width notch type defect. In spectral finite element modeling, exact shape functions are derived and finite element procedure is followed in the transformed frequency domain. Here spectral finite element formulation is done using Daubechies scaling function bases for temporal approximation. In comparison to the conventional Fourier transform based spectral finite element method, the use of localized bases functions in the Daubechies scaling function based spectral finite element method allows accurate wave propagation analysis of finite length structures. The wave propagation response of the damaged beam is considered as a perturbation of the undamaged beam response within the restriction of small damage. First, numerical experiments are performed with narrow banded modulated pulse loading to obtain the location of damage from wave arrival time. Next, a broad banded impulse load is considered and effects of parameters like damage width, depth, and location on the responses are studied in time and frequency domains.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Mathematical Sciences Publishers.
Keywords: Wave propagation;Euler–Bernoulli beam;spectral element;Daubechies scaling functions;perturbation technique.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 13 Aug 2008
Last Modified: 27 Aug 2008 13:32
URI: http://eprints.iisc.ernet.in/id/eprint/14822

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