Abstract
In this paper, we introduce a mathematical relation which allows prediction of frequency changes of beams if a damage producing an abrupt stiffness decrease occurs in the structure. This relation is contrived from the energies stored in the beam in the intact, respectively in the damaged state. First, the analysis was performed for the damage reducing the stiffness of the slice subjected to the biggest bending moment. From this analysis, we found the damage severity evolution, reflected in a frequency drop, with the damage depth. Afterward, we replaced this damage on several locations along the beam and quantified the effect upon the natural frequencies for each of them. Based on this analysis, we found out also the effect of damage position upon the natural frequencies. The final relation resulted by aggregating the effect of the severity with that of the position. To prove the reliability of this relation, we tested it against results obtained by means of the finite element method.
Publisher
Academia de Stiinte Tehnice in Romania
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