What is it about?
This paper describes the determination of the location of damage due to single cracks and due to honeycombs in RC beams using mode shape derivatives from modal testing. The mode shapes and the eigenvectors were used to determine the location of damage.
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Why is it important?
The indicator |λ4| was obtained by rearranging the equation for free transverse vibration of a uniform beam, and applying the fourth order centered finite-divided difference formula to the regressed mode shape data. The equation is an eigenvalue problem, and the value of |λ4| will be a constant. Differences in the values indicate stiffness change, and the affected region indicates the general area of damage.
Perspectives
Analysis of results using |λ4| was able to indicate the general region of damage, the exact location being around the center of the region. Curve fitting with Chebyshev series rationals onto the mode shape also highlighted points of high residuals around the region of damage.
Professor Zubaidah Ismail
University of Malaya
Read the Original
This page is a summary of: Determination of damage location in RC beams using mode shape derivatives, Engineering Structures, September 2006, Elsevier,
DOI: 10.1016/j.engstruct.2006.02.010.
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