Detection of damage in cyclic structures using an eigenpair sensitivity matrix

Authors:
S. S. Naseralavi;E. Salajegheh;J. Salajegheh;M. J. Fadaee
Affiliations:
Department of Civil Engineering, University of Kerman, Iran;Department of Civil Engineering, University of Kerman, Iran;Department of Civil Engineering, University of Kerman, Iran;Department of Civil Engineering, University of Kerman, Iran
Venue:
Computers and Structures
Year:
2012

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Abstract

In cyclic structures, the eigenvectors associated with repeated eigenvalues do not change smoothly in case of damages, thus, the existing sensitivity-based damage detection techniques are rendered ineffective. To overcome this problem, a transformation from such eigenvectors to a set of well-behaved pseudo-eigenvectors is introduced. The proposed pseudo-eigenvectors can be linearly approximated, and hence, they admit sensitivity-based analysis. Subsequently, sensitivity matrices of eigenvalues and pseudo-eigenvectors are established, and four damage detection algorithms are developed accordingly. Simulation results under different number of sensors and various noise levels confirm the efficiency of the proposed approach.