Structural damage identification of frame model based on filtering algorithm

Abstract

Most architectural buildings accumulate damage gradually during their service life. Moreover, natural disasters such as an earthquake and a storm particularly give rise to the damage of a structural system. To assure the structural safety of architectural building, it is necessary to monitor the state of the structural system at regular intervals. The experimental modal analysis is an effective method for periodic monitoring because the changes in modal properties, such as natural frequencies, mode shapes, and damping rations, characterize the evolution of damaged state of the structural systems. This chapter is concerned with the identification analysis of structural damage detection on five-story frame structure model based on free vibration equation and filtering theory. The problem of structural damage detection is formulated as an inverse problem. The formulated inverse problem must be solved under the consideration of stochastic properties of the mathematical model. Two kinds of filtering algorithms that are able to consider the stochastic properties, namely the extended Kalman and new type-filtering algorithm based on the projection filter, are employed in the structural damage analysis. The characteristics of both the filtering algorithms are presented based on some results of the inverse analysis.