【摘要】 本文将结构所含多个相关随机参数模型化为向量随机场,通过随机场在各有限单元上的平均将场离散化,建立了局部平均的一、二阶统计量与原向量随机场的一、二阶统计量之间的关系,导出了用有限无法计算含多个相关随机参数的结构在随机静载荷作用下的位移与应力的一、二阶统计量的公式.数例结果表明,本文提出的随机有限元法较之现有的随机有限元法适用范围大.收敛快,精度高,并保持了对原随机场相关结构的不敏感性.更多还原

【Abstract】 The correlated multiple random parameters inherent in a structure are modelled as a vector random field which is discretized through local average of the field on finite elements. The relations between the first and second order statistics of the local avera gas and those of the original field are established. The formulae for computing the means and variances of displacement and stress of the structure under random loading using the finite element method are derived. Numerical results show that the present stochastic finite element method has the advantages of wider epplication, faster convergence and better accuracy, and maintains the feature of insensitivity to the original correlation model.更多还原