基于递推随机有限元法的结构可靠度指标计算

Structural Reliability Index Based on Recursive Stochastic Finite Element Method

将递推随机有限元法与验算点法结合,提出了一种基于递推随机有限元法(RSFEM)的随机结构可靠度指标计算方法。数值结果表明,与基于Taylor展开的二阶摄动随机有限元方法比较,新的数值方法能够对随机结构的可靠度指标进行更好的逼近,其结果与MC模拟结果也非常吻合,论证了基于RSFEM的随机结构可靠度指标计算方法的合理性和有效性。

Combining recursive stochastic finite element method with JC method, the paper presents a new method for calculating structural reliability indices. Numerical example shows that the reliability indices from recursive stochastic finite element method are much better than that from perturbation stochastic finite element method based on the 2nd order Taylor series. It is also shown that numerical results obtained through the new method agree with that of Monte-Carlo simulation method in relatively large fluctuation range.