Structural model updating and health monitoring with incomplete modal data using Gibbs sampler
Resource
Computer-Aided Civil and Infrastructure Engineering,21,242-257.
Journal
Computer-Aided Civil and Infrastructure Engineering
Journal Issue
21
Pages
242-257
Date Issued
2006
Date
2006
Author(s)
Abstract
A new Bayesian model updating approach is presented for linear structural models. It is based on the Gibbs sampler, a stochastic simulation method that decomposes the uncertain model parameters into three groups, so that the direct sampling from any one group is possible when conditional on the other groups and the incomplete modal data. This means that even if the number of uncertain parameters is large, the effective dimension for the Gibbs sampler is always three and so high-dimensional parameter spaces that are fatal to most sampling techniques are handled by the method, making practical for health monitoring of real structures. The approach also inherits the advantages of Bayesian techniques: it not only updates the optimal estimate of the structural parameters but also updates the associated uncertainties. The approach is illustrated by applying it to two examples of structural health monitoring problems, in which the goal is to detect and quantify any damage using incomplete modal data obtained from small-amplitude vibrations measured before and after a severe loading event, such as an earthquake or explosion. © 2006 Computer-Aided Civil and Infrastructure Engineering.
SDGs
Type
journal article