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Mode shape‐based damage identification for a reinforced concrete beam using wavelet coefficient differences and multiresolution analysis
Author(s) -
Zhao Ying,
Noori Mohammad,
Altabey Wael A.,
BeheshtiAval Seyed Bahram
Publication year - 2018
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.2041
Subject(s) - wavelet , wavelet transform , convolution (computer science) , modal analysis , modal , mode (computer interface) , finite element method , structural engineering , beam (structure) , sensitivity (control systems) , continuous wavelet transform , reinforced concrete , mathematics , algorithm , computer science , discrete wavelet transform , materials science , engineering , electronic engineering , artificial intelligence , artificial neural network , polymer chemistry , operating system
In this paper, the structural mode shapes extracted from the finite element model of a simply supported reinforced concrete beam are employed for damage identification using different types of wavelets. To start with, the parity of signals, wavelets, and their convolution, that is, wavelet transform properties, are verified. In light of the mathematical modeling complexity of modal frequency, which relates to the localization and quantification of damage in the reinforced concrete beam, the maximum curves based on multiresolution wavelet transform coefficient differences and the corresponding theoretical assumptions are described and analyzed. It is concluded that the maximum curve reaches a peak value at a specific scale for a specific case, based upon which, a new mode shape based algorithm and damage index are proposed for damage identification. The accuracy of localization as well as the sensitivity of quantification is further discussed.