Stochastic finite element analysis of plates with the Certain Generalized Stresses Method

被引：17

作者：

Mahjudin, Mahyunirsyah ^{[1
,2
]}

Lardeur, Pascal ^{[1
]}

Druesne, Frederic ^{[1
]}

Katili, Irwan ^{[2
]}

机构：

[1] Univ Technol Compiegne, Univ Paris 04, CNRS, UMR7337,Lab Roberval, F-60203 Compiegne, France

[2] Univ Indonesia, Dept Civil Engn, Depok 16424, Indonesia

来源：

STRUCTURAL SAFETY | 2016年 / 61卷

关键词：

Variability; Finite elements; Plate; Probabilistic; Non-intrusive; CGSM; Monte Carlo simulation; RESPONSE VARIABILITY; UNCERTAINTY ANALYSIS; NUMERICAL-ANALYSIS; MECHANICS; FIELDS; SHELLS;

D O I：

10.1016/j.strusafe.2016.02.006

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

The Certain Generalized Stresses Method (CGSM) takes into account variability in static finite element analysis. The CGSM is dedicated to thin-walled structures: bars, beams, plates and shells. The objective of this paper is to present and evaluate a methodology based on the CGSM, for the static finite element analysis of plates with variability. The CGSM is a non-intrusive method that requires only one finite element analysis with some load cases to calculate the variability of mechanical quantities of interest. The statistical results: mean value, standard deviation and distribution are obtained by Monte Carlo simulations, using a semi-analytical formula. Two examples are treated: a square plate with a circular hole under tension and a simply supported square bending plate under uniformly distributed load. The method provides results of good quality and is very economical from a computational time point of view. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：12 / 21

页数：10

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