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基于递推随机有限元法的结构可靠度研究

Structural Reliability Analysis Based on Recursive Stochastic Finite Element Method

中文摘要英文摘要

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的计算方法。数值结果表明,通过与基于Taylor展开的低阶摄动随机有限元方法做比较,可以发现新的数值方法能够对随机结构的可靠度指标进行更精确的逼近。其结果与MC模拟结果也非常地吻合,从而论证了基于RSFEM的随机结构可靠度指标计算方法的合理性和有效性。

ombining recursive stochastic finite element method and JC method, a new method is presented to calculate structural reliability indices. Numerical example shows that the reliability indices from recursive stochastic finite element method are much better than that of perturbation stochastic finite element method based on the 2th order of Taylor series. It is also shown that numerical results obtained through the new method are close to that of Monte-Carlo simulation method in relatively large fluctuation range.

赵毅、刘军、黄斌

工程基础科学

可靠度指标,递推随机有限元法,随机结构,验算点法

Reliability indices recursive stochastic finite element method random structures JC method

赵毅,刘军,黄斌.基于递推随机有限元法的结构可靠度研究[EB/OL].(2008-04-10)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/200804-346.点此复制

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