Structural stochastic responses determination via a sample-based stochastic finite element method

This paper presents a new stochastic finite element method for computing structural responses. The provides expansion of response and decouples the into combination series deterministic responses with random variable coefficients. A dedicated iterative algorithm is proposed to determine corresponding coefficients one by one. computes in their individual space insensitive dimensions, thus it can be applied high dimensional problems readily without extra difficulties. More importantly, computed efficiently use existing Finite Element Method (FEM) solvers, easy embed FEM analysis softwares. Three practical examples, including low-dimensional high-dimensional problems, are given demonstrate accuracy effectiveness method.