An inverse eigenvalue procedure for damage detection in rods

This work is related to the damage detection problem in a homogeneous rod and consists of finding the location and severity of damage in the rod. It is shown that a finite element model based on the geometric parameters of the rod can be reconstructed from one eigenpair, that is, one eigenvalue and its respective eigenvector. This reconstruction permits development of an inverse eigenvalue procedure for damage detection. The procedure is sensitive to perturbations for a large order model. The use of overdetermined data decreases sensitivity, although this may lead to a more expensive procedure. Therefore, we use a new technique for filtering the information from a single eigenpair to obtain a realizable and less expensive procedure.