The relationship between changes of deflection and natural frequencies of damaged beams

摘要

The paper describes the relationship between changes of deflection of beams due damages and the natural frequency changes. Previous papers relate the influence of damage location and severity upon the natural frequency changes of weak-axis bending vibration modes, for which the authors have found a correlation. It base on the reduction of stiffness in a slice of the beam and consequently on the reduction of the potential stored energy in that slice. While the stiffness reduction affect also the deflection under the own mass of the beam, we concluded that it can be found a relationship between deflection and frequency changes. Researches performed this direction revealed that it is a clear dependency between deflection and frequency changes, what makes deflection an important feature of beam behavior, usable in damage assessment.