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A method of localized structural health monitoring is presented that utilizes an invariance property of transmission zeros of substructural frequency response functions. These functions are obtained by partitioning the global dynamic flexibility into a substructural form. It is shown that the transmission zeros of the frequency response functions of a damaged substructure are invariant whereas those of healthy substructures are affected. The present method exploits this invariance property for the detection of damage in a structure. Numerical examples are presented to demonstrate the utility of the proposed method.
Reich et al. (Thu,) studied this question.