On random field discretization in stochastic finite elements

被引:26
|
作者
Zeldin, BA [1 ]
Spanos, PD [1 ]
机构
[1] Rice Univ, George Brown Sch Engn, Dept Mech Engn, Houston, TX 77005 USA
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1998年 / 65卷 / 02期
关键词
D O I
10.1115/1.2789057
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Several traditional methods for discretizing random fields in stochastic mechanics applications are considered; they are the midpoint method, the interpolation method, and the local averaging method. A simple and computationally convenient criterion for estimating the accuracy of these discretization methods is developed. Also, the Volterra series representation of nonlinear input/output relationships is utilized to assess the effect of the random field discretization methods on the response variability of stochastic mechanics problems. The theoretical developments are elucidated by a numerical example involving a beam problem.
引用
收藏
页码:320 / 327
页数:8
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