Hierarchical sparse Bayesian learning: theory and application for inferring structural damage from incomplete modal data

03/21/2015
by   Yong Huang, et al.
0

Structural damage due to excessive loading or environmental degradation typically occurs in localized areas in the absence of collapse. This prior information about the spatial sparseness of structural damage is exploited here by a hierarchical sparse Bayesian learning framework with the goal of reducing the source of ill-conditioning in the stiffness loss inversion problem for damage detection. Sparse Bayesian learning methodologies automatically prune away irrelevant or inactive features from a set of potential candidates, and so they are effective probabilistic tools for producing sparse explanatory subsets. We have previously proposed such an approach to establish the probability of localized stiffness reductions that serve as a proxy for damage by using noisy incomplete modal data from before and after possible damage. The core idea centers on a specific hierarchical Bayesian model that promotes spatial sparseness in the inferred stiffness reductions in a way that is consistent with the Bayesian Ockham razor. In this paper, we improve the theory of our previously proposed sparse Bayesian learning approach by eliminating an approximation and, more importantly, incorporating a constraint on stiffness increases. Our approach has many appealing features that are summarized at the end of the paper. We validate the approach by applying it to the Phase II simulated and experimental benchmark studies sponsored by the IASC-ASCE Task Group on Structural Health Monitoring. The results show that it can reliably detect, locate and assess damage by inferring substructure stiffness losses from the identified modal parameters. The occurrence of missed and false damage alerts is effectively suppressed.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/09/2017

Damage detection in a unidimensional truss using the firefly optimization algorithm and finite elements

In this paper, we investigate the damage detection of structures seen as...
research
06/06/2020

Sparse representation for damage identification of structural systems

Identifying damage of structural systems is typically characterized as a...
research
08/16/2022

Predictions of damages from Atlantic tropical cyclones: a hierarchical Bayesian study on extremes

Bayesian hierarchical models are proposed for modeling tropical cyclone ...
research
07/14/2020

Uncertainty Aware Deep Neural Network for Multistatic Localization with Application to Ultrasonic Structural Health Monitoring

Guided ultrasonic wave localization uses spatially distributed multistat...
research
03/03/2023

One-class Damage Detector Using Fully-Convolutional Data Description for Prognostics

It is important for infrastructure managers to maintain a high standard ...

Please sign up or login with your details

Forgot password? Click here to reset