Efficient algorithms for use in probabilistic finite element analysis

摘要: This paper investigates the use of Fast Probability Integration (FPI) algorithms in a Finite Element environment. A method allowing representation correlated fields terms vector uncorrelated transformed variables, based on spectral decomposition variance-covariance matrix is developed. The response deterministic model corresponding to selected perturbations these variables then obtained via Newton-type iterative scheme. results perturbed problems are used construct local model's behavior neighborhood state, which FPI algorithm will estimate reliability system. Although proposed strategy has thus far only been applied linear elastostatics, extension broader class appears be feasible.