Perturbational solutions for fuzzy-stochastic finite element equilibrium equations (FSFEEE)

In this paper, the random interval equilibrium equations (RIEE) is obtained by -level cutting the fuzzy-stochastic finite element equilibrium equations (FSFEEE). Based on the relations between the variables of equilibrium equations, solving RIEE is transformed into solving two kinds of general random equilibrium equaltions (GREE). Then the recursive equations of evaluating the random interval displacement is derived from the small-parameter perturbation theory. The computational formulae of statistical characteristic of the fuzzy random displacements, the fuzzy random strains and the fuzzy random stresses are also deduced in detail.Project supported by the National Natural Science Foundation of China