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New approach in Stochastic Finite Element Method

In the paper, the new methodology for Stochastic Finite Element Method (SFEM) as the means to analyze structure in the probabilistic framework is presented. The concept of random influence vector is introduced and used to develop the universal formulas in the framework of SFEM that can work effectively for a wide variety of random loads. Furthermore, the derived formulas enable to separate the structural uncertain properties from random parameters of load resulting in the hybrid formulation of SFEM and to analyze the structure in probabilistic framework subject to any stochastic space load. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)