Optimal filtering method to structural damage estimation under ground excitation (II): Constrained optimization approach

This paper considers the problem of shear building damage estimation using constrained optimization approach subjected to earthquake ground excitation. The structural damage is assumed to take the form of reduced elemental stiffness. The damage estimation algorithm is derived from a specific discrete-time Kalman filtering algorithm, named as the robust two-stage Kalman filter (RTSKF) that is derived from the recently developed extended recursive three-step filter (ERTSF), to determine locations and extents of the damage stiffness. A numerical example of a six-storey shear plane frame structure subjected to base excitation is used to illustrate the usefulness of the proposed results.