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

[11] On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data [J].

Ghanem, Roger G. ;

Doostan, Alireza .

JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 217 (01) :63-81

[12] An FETI-preconditioned conjuerate gradient method for large-scale stochastic finite element problems [J].

Ghosh, Debraj ;

Avery, Philip ;

Farhat, Charbel .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2009, 80 (6-7) :914-931

[13] Reduction of the stochastic finite element models using a robust dynamic condensation method [J].

Guedri, M. ;

Bouhaddi, N. ;

Majed, R. .

JOURNAL OF SOUND AND VIBRATION, 2006, 297 (1-2) :123-145

[14] RUDUCTION OF STIFFNESS AND MASS MATRICES [J].

GUYAN, RJ .

AIAA JOURNAL, 1965, 3 (02) :380-&

[15] Collocation-based stochastic finite element analysis for random field problems [J].

Huang, Shuping ;

Mahadevan, Sankaran ;

Rebba, Ramesh .

PROBABILISTIC ENGINEERING MECHANICS, 2007, 22 (02) :194-205

[16] Hierarchical parallelisation for the solution of stochastic finite element equations [J].

Keese, A ;

Matthies, HG .

COMPUTERS & STRUCTURES, 2005, 83 (14) :1033-1047

[17]

*MSC SOFTW CORP, 2008, PATR VERS 2008

[18]

*MSC SOFTW CORP, 2008, NASTR VERS 2008

[19] Stochastic reduced basis methods [J].

Nair, PB ;

Keane, AJ .

AIAA JOURNAL, 2002, 40 (08) :1653-1664

[20] Application of the spectral stochastic finite element method for performance prediction of composite structures [J].

Ngah, M. F. ;

Young, A. .

COMPOSITE STRUCTURES, 2007, 78 (03) :447-456

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