Improving interval analysis in finite element calculations by means of affine arithmetic

被引：151

作者：

Degrauwe, D. ^{[1
]}

Lombaert, G. ^{[1
]}

De Roeck, G. ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Civil Engn, B-3001 Louvain, Belgium

来源：

COMPUTERS & STRUCTURES | 2010年 / 88卷 / 3-4期

关键词：

Uncertainty modeling; Interval analysis; Dependency problem; Affine arithmetic; ANTI-OPTIMIZATION; STRUCTURAL DESIGN; UNCERTAINTY; MECHANICS;

D O I：

10.1016/j.compstruc.2009.11.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

080201 [机械制造及其自动化];

摘要：

Interval-based uncertainty models have proven to be well-suited for structural safety engineering with few data at hand. The practical use of interval analysis is hindered by the dependency problem, which leads to an overestimation of the uncertainty on the results. Affine arithmetic is a generalization of interval arithmetic that accounts for the relation between variables. By circumventing the dependency problem, it yields more accurate results. This paper presents a novel method to solve affine systems of linear equations, which allows for the application of affine arithmetic in finite element analysis. The proposed procedure is illustrated with three applications. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：247 / 254

页数：8

共 26 条

[1]

[Anonymous], 1988, Possibility Theory

[2]

Fuzzy reliability analysis of concrete structures [J].

Biondini, F ;

Bontempi, F ;

Malerba, PG .

COMPUTERS & STRUCTURES, 2004, 82 (13-14) :1033-1052

[3]

COMBA JLD, 1993, AN 6 S BRAS COMP GRA, P9

[4]

de Finetti Bruno, 1974, Theory of Probability, A Critical Introductory Treatment, V1

[5]

Analysis of mechanical systems using interval computations applied to finite element methods [J].

Dessombz, O ;

Thouverez, F ;

Laîné, JP ;

Jézéquel, L .

JOURNAL OF SOUND AND VIBRATION, 2001, 239 (05) :949-968

[6]

STRUCTURAL DESIGN UNDER BOUNDED UNCERTAINTY - OPTIMIZATION WITH ANTI-OPTIMIZATION [J].

ELISHAKOFF, I ;

HAFTKA, RT ;

FANG, J .

COMPUTERS & STRUCTURES, 1994, 53 (06) :1401-1405

[7]

New formulation of FEM for deterministic and stochastic beams through generalization of Fuchs' approach [J].

Elishakoff, I ;

Ren, YJ ;

Shinozuka, M .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 144 (3-4) :235-243

[8]

BOUNDING THE SOLUTION OF INTERVAL LINEAR-EQUATIONS [J].

HANSEN, ER .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (05) :1493-1503

[9]

Perturbation finite element method of structural analysis under fuzzy environments [J].

Huang, HZ ;

Li, HB .

ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2005, 18 (01) :83-91

[10]

Anti-optimization technique for structural design under load uncertainties [J].

Lombardi, M ;

Haftka, RT .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 157 (1-2) :19-31

← 1 2 3 →