Damage location indicators from substructure mode shapes

Abstract

When damage occurs in a substructure its modes of vibration will be changed but the modes of other substructures will be unaffected. Also the higher modes will not participate in the deflections of undamaged substructures. These observations are used to establish the necessary and sufficient conditions that identify an undamaged substructure. Two damage location indicators are then formulated and applied to a numerical example. Both indicators are successful in locating the damage.