The aim of these studies is to establish a relationship with the uncertainties that exist in the loads and in the structure properties with the probability of structure failure in a vibrating system. The uncertainties in the loading and response are quantified using principles of probability theory. This in turn facilitates prediction of the risk associated with the structure. The methods developed have been applied to predict the failure probability of structures subjected to seismic, wind and ocean wave loadings.
Schematic of structural reliability problem formulation