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Study on Probabilistic Identification Method of Structural Physical Parameter Based on Bayesian Estimation

Base on the structural modal parameters, the linear regression models of physical parameters are derived from the dynamic equations. The posterior joint Probability Density Function (PDF) of physical parameters is obtained by using Bayesian statistics theory. Then the Markov Chain Monte Carlo (MCMC) sample method is adopted to get the marginal PDF and optimal estimation of structural physical parameters. A numerical simulation of a 5-stroy structure under the excitation of white noise with different noise level is used to identify the physical parameters by the presented method. It is shown that the method can not only determine the optimal estimate but also get the probability distribution of the structural physical parameters from the known modal parameters of the primary modes. The method is with higher validity, robustness and efficiency, and can be applied to the structural health monitoring, damage evaluation, and so on.