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A wavelet-based approach for vibration analysis of framed structures

In this paper, an explicit time integration scheme is proposed for structural vibration analysis by using wavelet functions. Initially, the differential equation of vibration governing SDOF (single-degree of freedom) systems has been solved by wavelet operators, and later the proposed approach has b...

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Main Authors: Mahdavi, S.H., Abdul Razak, H.
Format: Article
Language:English
Published: 2013
Subjects:
TA Engineering (General). Civil engineering (General)
Online Access:http://eprints.um.edu.my/9065/1/A_wavelet-based_approach_for_vibration_analysis_of_framed_structures.pdf
http://eprints.um.edu.my/9065/
http://www.scopus.com/inward/record.url?eid=2-s2.0-84880158595&partnerID=40&md5=feb60231c101868479de381a248ec9cc http://www.sciencedirect.com/science/article/pii/S0096300313006395 http://ac.els-cdn.com/S0096300313006395/1-s2.0-S0096300313006395-main.pdf?t
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spelling my.um.eprints.90652014-10-29T06:29:29Z http://eprints.um.edu.my/9065/ A wavelet-based approach for vibration analysis of framed structures Mahdavi, S.H. Abdul Razak, H. TA Engineering (General). Civil engineering (General) In this paper, an explicit time integration scheme is proposed for structural vibration analysis by using wavelet functions. Initially, the differential equation of vibration governing SDOF (single-degree of freedom) systems has been solved by wavelet operators, and later the proposed approach has been generalized for MDOF (multi-degrees of freedom) systems. For this purpose, two different types of wavelet functions have been exemplified including, complex Chebyshev wavelet functions and simple Haar wavelet functions. In the proposed approach, a straightforward formulation has been derived from the numerical approximation of response through the wavelet definition. Emphasizing on frequency-domain approximation, a simple step-by-step algorithm has been implemented and improved to calculate the response of MDOF systems. Moreover, stability and accuracy of results have been evaluated. The effectiveness of the proposed approach is demonstrated using three examples compared with some of the existing numerical integration schemes such as family of Newmark-β, Wilson-θ and central difference method. In all the procedures, computation time involved has also been considered. Finally, it is concluded that the vibration analysis of structures is improved by lesser computation time and high accuracy of proposed approach, particularly, in large-scaled systems. © 2013 Elsevier Inc. All rights reserved. 2013 Article PeerReviewed application/pdf en http://eprints.um.edu.my/9065/1/A_wavelet-based_approach_for_vibration_analysis_of_framed_structures.pdf Mahdavi, S.H. and Abdul Razak, H. (2013) A wavelet-based approach for vibration analysis of framed structures. Applied Mathematics and Computation, 220. pp. 414-428. ISSN 00963003 http://www.scopus.com/inward/record.url?eid=2-s2.0-84880158595&partnerID=40&md5=feb60231c101868479de381a248ec9cc http://www.sciencedirect.com/science/article/pii/S0096300313006395 http://ac.els-cdn.com/S0096300313006395/1-s2.0-S0096300313006395-main.pdf?t 10.1016/j.amc.2013.06.026
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
language English
topic TA Engineering (General). Civil engineering (General)
spellingShingle TA Engineering (General). Civil engineering (General)
Mahdavi, S.H.
Abdul Razak, H.
A wavelet-based approach for vibration analysis of framed structures
description In this paper, an explicit time integration scheme is proposed for structural vibration analysis by using wavelet functions. Initially, the differential equation of vibration governing SDOF (single-degree of freedom) systems has been solved by wavelet operators, and later the proposed approach has been generalized for MDOF (multi-degrees of freedom) systems. For this purpose, two different types of wavelet functions have been exemplified including, complex Chebyshev wavelet functions and simple Haar wavelet functions. In the proposed approach, a straightforward formulation has been derived from the numerical approximation of response through the wavelet definition. Emphasizing on frequency-domain approximation, a simple step-by-step algorithm has been implemented and improved to calculate the response of MDOF systems. Moreover, stability and accuracy of results have been evaluated. The effectiveness of the proposed approach is demonstrated using three examples compared with some of the existing numerical integration schemes such as family of Newmark-β, Wilson-θ and central difference method. In all the procedures, computation time involved has also been considered. Finally, it is concluded that the vibration analysis of structures is improved by lesser computation time and high accuracy of proposed approach, particularly, in large-scaled systems. © 2013 Elsevier Inc. All rights reserved.
format Article
author Mahdavi, S.H.
Abdul Razak, H.
author_facet Mahdavi, S.H.
Abdul Razak, H.
author_sort Mahdavi, S.H.
title A wavelet-based approach for vibration analysis of framed structures
title_short A wavelet-based approach for vibration analysis of framed structures
title_full A wavelet-based approach for vibration analysis of framed structures
title_fullStr A wavelet-based approach for vibration analysis of framed structures
title_full_unstemmed A wavelet-based approach for vibration analysis of framed structures
title_sort wavelet-based approach for vibration analysis of framed structures
publishDate 2013
url http://eprints.um.edu.my/9065/1/A_wavelet-based_approach_for_vibration_analysis_of_framed_structures.pdf
http://eprints.um.edu.my/9065/
http://www.scopus.com/inward/record.url?eid=2-s2.0-84880158595&partnerID=40&md5=feb60231c101868479de381a248ec9cc http://www.sciencedirect.com/science/article/pii/S0096300313006395 http://ac.els-cdn.com/S0096300313006395/1-s2.0-S0096300313006395-main.pdf?t
_version_ 1643688459750080512
score 13.211869

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