有限元可靠度分析中随机场离散方法

Random field discretization method for finite element reliability analysis

用随机场模型描述随机结构参数的空间变异特征 ,讨论了可靠度随机有限元分析中随机场的离散方法。提出了选择随机场离散方案的 4个基本要求 ;利用线性回归理论建立基于优化的随机场离散方法。该文采用的离散方法独立于有限元的单元离散过程 ,并适用于非正态随机场。分析表明

Random field discretization was used to analyze stochastic structures with spatially random properties. Four criteria were considered in the choice of the random field discretization method. A systematic method based on linear regression theory was chosen which minimized the error of the discretized field relative to its real field for non-Gaussian fields. The random field discretization process can be done independently from the finite element discretization process. Examples show that this method is more efficient and flexible than other discretization methods for finite element reliability analyses.