Kg. Topole et N. Stubbs, NONDESTRUCTIVE DAMAGE EVALUATION OF A STRUCTURE FROM LIMITED MODAL PARAMETERS, Earthquake engineering & structural dynamics, 24(11), 1995, pp. 1427-1436
A method to predict structural damage in its location and severity fro
m modal characteristics of the damaged structure is proposed. No a pri
ori knowledge of the modal characteristics of a corresponding baseline
structure is required in the proposed formulation. Instead, informati
on on the geometry of the structure which is reflected in its mass and
stiffness distribution is needed. From matrix structural analysis, a
system of equations is generated which relates the relative change of
stiffness of structural members to a load vector generated from modal
parameters of the damaged structure. Different solution techniques are
suggested to determine the damage from the generated equations. The f
easibility of the proposed formulation is demonstrated via a numerical
example of a 10-storey building. Further, an error investigation on t
he error in the damage predictions due to uncertainties in the input d
ata is carried out.