Computational precision and error control are very important to the numerical computation of the stochastic finite element method.Based on theory of random fields and perturbation finite element method,computational formulas of expected values andnth-order central probabilistic moments of the random variable were derived.A computational precision control algorithm in perturbation-based stochastic finite element method was proposed,which makes it possible to specify the accuracy of the solution before expected values and variances of structural responses were calculated separately.The 0~Nth order equilibrium equations of the perturbation-based stochastic finite element method were formulated. One dimension linear elastic prismatic bar subjected simple unidirectional tension was studied with this method.The results of this analysis showed that comparing with second-order perturbation approach, theNth-order method can improve efficiently the accuracy of stochastic perturbation technique.
