On the use of AR models for SHM: A global sensitivity and uncertainty analysis framework

These methodologies allow one to understand the role of the uncertainty and uncorrelated noise by a rigorous approach based on statistical motivations. Moreover, it is possible to quantify the link between the mechanical properties of a system and the AR parameters, as well as the Mahalanobis Squared Distance. By fixing a factor prioritization among the variables of a AR model, it is possible to understand which are the parameters playing a main role in damage detection and which type of structural changes is possible to efficiently detect.