A stochastic finite element method in linear mechanics.

被引：13

作者：

Sudret, B

Berveiller, M

Lemaire, M

机构：

[1] EDF R&D, Dept Mat & Mecan Composants, F-77818 Moret Sur Loing, France

[2] IFMA LaRAMA, F-63175 Aubiere, France

来源：

COMPTES RENDUS MECANIQUE | 2004年 / 332卷 / 07期

关键词：

computational solid mechanics; stochastic finite elements; polynomial chaos; sensitivity analysis; structural reliability;

D O I：

10.1016/j.crme.2004.02.024

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A stochastic finite element method in linear mechanics. The stochastic finite element method presented in this Note consists in representing in a probabilistic form the response of a linear mechanical system whose material properties and loading are random. Each input random variable is expanded into a Hermite polynomial series in standard normal random variables. The response (e.g., the nodal displacement vector) is expanded onto the so-called polynomial chaos. The coefficients of the expansion are obtained by a Galerkin-type method in the space of probability. (C) 2004, Academie des sciences. Publie par Elsevier SAS. Tons droits reserves.

引用

页码：531 / 537

页数：7

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