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In the paper, sensitivity analysis of linear system with uncertain parameters subject to stochastic stationary and non stationary stochastic point process is presented. The proposed approach for the design sensitivity of probabilistic system is formulated in the framework of Stochastic FEM on the basis of the concept of a sensitivity random influence vector in the context of correlation theory i.e. restricted to the probabilistic moments of second order. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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.