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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 :线性回归理论建立的随机场离散方案比其他方法有更大的灵活性和更高的效率
The random field model is used to describe the characteristics of spatial variability of random structural parameters. Discrete methods of stochastic fields in random finite element analysis of reliability are discussed. Four basic requirements for selecting discrete schemes for random fields are proposed. An optimal random field discrete method based on linear regression is established. The discrete method used in this paper is independent of the finite element discretization and is suitable for non-normalized random fields. The analysis shows that the random field discretization scheme established by linear regression theory has greater flexibility and higher efficiency than other methods