Research on the Application of Bayesian Theory in the Localization of Existing Masonry Damage
For the problem that the parameters of a masonry structure before damage are hard to obtain,a method combining the Bayesian inference theory with finite element modeling was proposed.This method can establish a finite element model for the masonry structure before damage in case that not all relevant parameters are known,and make reasonable inferences about the location of the actual structural damage.Firstly,a finite element model for the masonry structure before damage was established based on historical data.Then,an objective function was constructed based on the data collected by sensors and the dynamic response eigenvalue of the finite element model.Finally,the location of structural damage was inferred according to the posterior distribution of strain modal differences.Experimental results demonstrated that this method can better display the location of structural damage in the first-order and fourth-order modes among the first four modes,and it can effectively buffer the impacts of errors in the measurement and model on damage localization.
masonry structurestrain modeBayesian:finite elementposterior distribution