Damage Localization from Transmission Zeros of Delta Systems

Abstract

Conditioning difficulties often thwart the characterization of damage by model updating. Methods that can provide information on damage location without explicit selection of free parameters are important for improving the likelihood of success. A technique that satisfies this objective known as the dynamic damage locating vector method locates damage as regions where a stress field that is computed in a model of the reference state, using loads extracted from changes in the transfer matrix, is identically zero. Central to the present paper is the fact that existence of the noted loads requires that the change in the transfer matrix be rank deficient everywhere in