随机场的局部平均与随机有限元

本文提出一种基于随机场的局部平均理论的随机有限元法,并在此基础上,给出计算一阶二次矩可靠性分析方法中可靠性指数与设计点的步骤。算例结果表明:本文提出的随机有限元法较之现有的随机有限元法具有收敛快、机时省及对原始数据要求低的优点。

LOCAL AUERAGE OF RANDOM FIELDS AND STOCHASTIC FINITE ELEMENT METHOD

A new stochastic finite element method based on the theory of local average of random fields is proposed. Based on the method, a procedure of computing the reliability index and design point in so called first-order second-moment method for estimation of structural reliability is given. It is shown from the numerical results that the present stochastic finite element method is of the feature of rapid convergence, less C. P. U. time and fewer requirements of input data in comparison with existing stochastic finite element methods.