Assessment of damage affecting all structural properties using experimental modal parameters

Recently, the authors proposed computationally attractive algorithms to det ermine the location and extent of structural damage for undamped and damped structures assuming damage results in a localized change in a subset (not full set) of the property matrices (mass, stiffness and damping matrices). The algorithms make iue of a finite element model and a subset of measured eigenvalues and eigenvectors. The developed theories approach the damage lo cation and extent problem in a decoupled fashion. First, a theory is develo ped to determine the location of structural damage. With location determine d, a damage extent theory is then developed. The damage extent algorithm is a minimum rank perturbation which is consistent with the effects of many c lasses of structural damage on a finite element model. In this work, the co ncept of the Minimum Rank Perturbation Theory (MRPT) is adopted to simultan eously determine the damage extent of all property matrices of undamped and proportionally damped structures. Note that the property matrices are the mass, stiffness and damping matrices. Illustrative examples are presented t o show the performance of the proposed theory. [S0739-3717(00)01904-8].