Gaussian Process Based Grey-Box Modelling for SHM of Structures Under Fluctuating Environmental Conditions

The aim of this paper is to develop a grey-box modelling method that incorporates both physical insight and learning from data. In this paper, a simple and intuitive approach is adopted, which is to represent physical laws through the prior mean function in a Gaussian process. This approach naturally adheres with the Bayesian viewpoint. The benefits of the approach, particularly in extrapolation, are shown in an example case study, where a model to predict deck displacements of a cable-stayed bridge is developed.