In this paper we investigate some modalities of using matrix decomposition techniques and Bayesian models for damage detection in structures, in particular for the seismically induced damages. A stiffness matrix decomposition is employed for the damage detection in J.A. Escobar et al. in 2004 [1]. The modal shapes and vibration frequencies for the damaged state of the structure are used for building its lateral stiffness matrix from which the analytical model is adjusted by means of an iterative process allowing to detect the damaged structural elements. An alternative procedure was earlier proposed by Sohn and Law in 2000 [2] and it employs the Ritz vectors which offer certain advantages. The latter method is effectively based on the Bayes Theorem.
展开▼
