关键词: 随机结构, 特征值, 有限元法, 摄动法

Abstract:

In the present paper the stochastic finite element method based on the local averages of random fields is applied to random eigenvalue problems .The formulas for the means and cova-riances of random eigenvalue and eigenvectors are derived by using second order perturbation method. The numerial results show that the convergence with increasing element number in the present method is much fast;r than that in Nakagiris' method,and only a few elements are required to obtain satisfactory results.

Key words: random structure, eigenvalue, finite clement method, perturbation method