Efficient: stochastic structural analysis using Guyan reduction

被引：19

作者：

Panayirci, H. M. ^{[1
]}

Pradlwarter, H. J. ^{[1
]}

Schueller, G. I. ^{[1
]}

机构：

[1] Univ Innsbruck, Inst Engn Mech, A-6020 Innsbruck, Austria

来源：

ADVANCES IN ENGINEERING SOFTWARE | 2011年 / 42卷 / 04期

关键词：

Stochastic finite elements; Polynomial chaos expansion; Computational efficiency; Guyan reduction; Uncertainty quantification; Stochastic structural analysis; PARTIAL-DIFFERENTIAL-EQUATIONS; FINITE-ELEMENT-ANALYSIS; ITERATIVE SOLUTION; COLLOCATION METHOD; UNCERTAINTY; PREDICTION; SOFTWARE; SYSTEMS; MODELS; FLOW;

D O I：

10.1016/j.advengsoft.2011.02.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper introduces the application of the Guyan reduction within the stochastic finite element (SFE) analysis, which employs a Galerkin-based Polynomial chaos (P-C) expansion formulation. It is shown that by reducing the size of the deterministic FE model, a substantial improvement in the overall computational efficiency can be achieved. An implementation exploiting the features of the proposed formulation is presented. In this regard, especially the interaction with the 3rd party FE solvers has been addressed. The suggested method has been tested on a simple grid structure and also on a large building model, where the accuracy and efficiency of the introduced approach have been quantified. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：187 / 196

页数：10

共 36 条

[1]

[Anonymous], 2000, STOCHASTIC FINITE EL

[2] Spectral stochastic finite element analysis for laminated composite plates [J].

Chen, Nian-Zhong ;

Soares, C. Guedes .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (51-52) :4830-4839

[3] Efficient numerical strategies for spectral stochastic finite element models [J].

Chung, DB ;

Gutiérrez, MA ;

Graham-Brady, LL ;

Lingen, FJ .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 64 (10) :1334-1349

[4] Protein labeling reactions in electrochemical microchannel flow:: Numerical simulation and uncertainty propagation [J].

Debusschere, BJ ;

Najm, HN ;

Matta, A ;

Knio, OM ;

Ghanem, RG ;

Le Maître, OP .

PHYSICS OF FLUIDS, 2003, 15 (08) :2238-2250

[5] Polynomial chaos representation of a stochastic preconditioner [J].

Desceliers, C ;

Ghanem, R ;

Soize, C .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 64 (05) :618-634

[6] Stochastic model reduction for chaos representations [J].

Doostan, Afireza ;

Ghanem, Roger G. ;

Red-Horse, John .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (37-40) :3951-3966

[7] Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering [J].

Elman, HC ;

Ernst, OG ;

O'Leary, DP ;

Stewart, M .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (9-11) :1037-1055

[8] Identification and prediction of stochastic dynamical systems in a polynomial chaos basis [J].

Ghanem, R ;

Masri, S ;

Pellissetti, M ;

Wolfe, R .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (12-16) :1641-1654

[9]

Ghanem R., 1991, STOCHASTIC FINITE EL, VVolume 1, P1, DOI [10.1007/978-1-4612-3094-6, DOI 10.1007/978-1-4612-3094-6]

[10] Numerical solution of spectral stochastic finite element systems [J].

Ghanem, RG ;

Kruger, RM .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 129 (03) :289-303

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