Paper Info
Title
A wavelet-based approach for vibration analysis of framed structures.
Abstract
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-@b, Wilson-@q 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.
Year
DOI
Venue
2013
10.1016/j.amc.2013.06.026
Applied Mathematics and Computation
Keywords
Field
DocType
lesser computation time,complex chebyshev wavelet function,structural vibration analysis,explicit time integration scheme,computation time,wavelet function,wavelet-based approach,wavelet definition,wavelet operator,simple haar wavelet function,vibration analysis
Differential equation,Mathematical optimization,Mathematical analysis,Numerical integration,Algorithm,Operator (computer programming),Haar wavelet,Cascade algorithm,Mathematics,Wavelet transform,Computation,Wavelet
Journal
Volume
ISSN
Citations 
220
0096-3003
0
PageRank 
References 
Authors
0.34
6
2
Name
Order
Citations
PageRank
Siavash Haroun Mahdavi1424.33
H. Abdul Razak261.55