非线性随机过程的有限元分析

Finite Element Analysis of Nonlinear Random Process

本文根据实际复杂工程结构独立随机变量多，计算工作量大的特点，提出了用广义随机变量替代一般的独立随机变量以减少基本随机变量的数目，用响应曲面法替代敏度法或摄动法以提高计算效率。算例证明，以上措施取得了良好的效果，有助于非线性随机有限元法在实际工程结构可靠性分析中的应用。

In view of fact a large amount of random variables exist in a practical complicat-ed engineering structure,considerable computational effort is required for the analysis ofnonlinear random process. In the present paper the generalized random variable is suggested,instead of the usual independent random variables,to reduce the number of basic randomvariables. Meanwhile,the response surface method is used in the present paper to improvethe computational efficiency,rather than the sensitivity method or perturbation method.Computational results show that,with the help of forementioned measures ,good results areachieved.Hence,these measures would be conducive to the application of nonlinear stochas-tic finite element method in the reliability analysis of a practical engineering structure.