Reanalysis techniques in stochastic analysis of linear structures under stationary multi-correlated input

The aim of the Reanalysis is determining the structural response of modified systems using the pertinent results from the original or “reference” structure, thereby reducing the computational effort. Repeated analyses of structures under certain or uncertain loads are often necessary in various fields of applications. Optimization techniques, model updating, design process and Monte Carlo simulations of structures with uncertain parameters are some examples in which several analyses of slightly modified systems occurs. In order to reduce the computational effort in determining both the static and the dynamic response, various Reanalysis techniques have been proposed in the literature. In this paper the main static Reanalysis techniques are reformulated to perform the Reanalysis of linear structural systems subjected to multi-correlated stationary Gaussian stochastic input for both topological and non-topological structural modifications.