Damage identification through regularization method. II: Applications

The methodology and theoretical development of damage identification through the regularization method are described. Numerical studies of a two-degree-of-freedom and a 10-degree-of-freedom shear-beam-type structure and experimental correlation with a three-story model structure are reported in this paper. The complete time history of the underlying damage process is satisfactorily estimated from noisy measurements (with noise level as high as 20-40%). Measurements can be displacements, velocities, accelerations or any combination thereof subject to observability conditions. Noise in input measurements is handled by treating input as an augmented state. Based on the identified time histories, damage model and its associated parameters are estimated using correlation and least-square tests. In the three-story experimental study, damage simulated through an actively controlled tendon system is successfully identified from displacement measurements.