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

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Title Perturbation technique for wave propagation analysis in a notched beam using wavelet spectral element modeling
 
Creator MITRA, M
GOPALAKRISHNAN, S
RUZZENE, M
APETRE, N
HANAGUD, S
 
Subject finite-element
wave propagation
euler-bernoulli beam
spectral element
daubechies scaling functions
perturbation technique
 
Description 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.
 
Publisher MATHEMATICAL SCIENCE PUBL
 
Date 2011-08-18T16:36:27Z
2011-12-26T12:55:49Z
2011-12-27T05:42:47Z
2011-08-18T16:36:27Z
2011-12-26T12:55:49Z
2011-12-27T05:42:47Z
2008
 
Type Article
 
Identifier JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 3(4), 659-673
1559-3959
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10069
http://hdl.handle.net/10054/10069
 
Language en