Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method

被引：170

作者：

Gao, Wei ^{[1
]}

Wu, Di ^{[1
]}

Song, Chongmin ^{[1
]}

Tin-Loi, Francis ^{[1
]}

Li, Xiaojing ^{[1
]}

机构：

[1] Univ New S Wales, Sch Civil & Environm Engn, Sydney, NSW 2052, Australia

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2011年 / 47卷 / 07期

基金：

澳大利亚研究理事会;

关键词：

Probabilistic interval analysis; Random interval response; Probabilistic interval reliability; Perturbation method; Monte-Carlo simulation method; Random interval moment method; FINITE-ELEMENT-METHOD; STOCHASTIC TRUSS STRUCTURES; DYNAMIC-RESPONSE ANALYSIS; ORDER RELIABILITY METHOD; VIBRATION ANALYSIS; PARAMETERS; BEAM;

D O I：

10.1016/j.finel.2011.01.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

This paper presents a mixed perturbation Monte-Carlo method for static and reliability analysis of structural systems with a mixture of random and interval parameters/loadings. Using a combination of the Taylor expansion, matrix perturbation theory and random interval moment method, the expressions for the mean value and standard deviation of random interval structural responses are developed. The Monte-Carlo simulation method is employed to determine the lower and upper bounds of the mean values and standard deviations of structural displacements and stresses. The structural reliability is not a deterministic value but an interval as the structural stress responses are random interval variables. The lower and upper bounds of probability of failure and reliability of structural elements and systems are investigated based on the first-order second-moment reliability method and interval approach. Three numerical examples are used to illustrate the effectiveness of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：643 / 652

页数：10

共 46 条

[1]

A note on the principle of preservation of probability and probability density evolution equation [J].

Chen, Jian-Bing ;

Li, Jie .

PROBABILISTIC ENGINEERING MECHANICS, 2009, 24 (01) :51-59

[2]

The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters [J].

Chen, Jlan-Bing ;

Li, Jie .

STRUCTURAL SAFETY, 2007, 29 (02) :77-93

[3]

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

[4]

Interval eigenvalue analysis for structures with interval parameters [J].

Chen, SH ;

Lian, HD ;

Yang, XW .

FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2003, 39 (5-6) :419-431

[5]

Interval finite element method for beam structures [J].

Chen, SH ;

Yang, XW .

FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2000, 34 (01) :75-88

[6]

RANDOM VIBRATION ANALYSIS FOR LARGE-SCALE STRUCTURES WITH RANDOM PARAMETERS [J].

CHEN, SH ;

LIU, ZS ;

ZHANG, ZF .

COMPUTERS & STRUCTURES, 1992, 43 (04) :681-685

[7]

Improving interval analysis in finite element calculations by means of affine arithmetic [J].

Degrauwe, D. ;

Lombaert, G. ;

De Roeck, G. .

COMPUTERS & STRUCTURES, 2010, 88 (3-4) :247-254

[8]

NONPROBABILISTIC, CONVEX-THEORETIC MODELING OF SCATTER IN MATERIAL PROPERTIES [J].

ELISHAKOFF, I ;

ELISSEEFF, P ;

GLEGG, SAL .

AIAA JOURNAL, 1994, 32 (04) :843-849

[9]

IMPROVED FINITE-ELEMENT METHOD FOR STOCHASTIC PROBLEMS [J].

ELISHAKOFF, I ;

REN, YJ ;

SHINOZUKA, M .

CHAOS SOLITONS & FRACTALS, 1995, 5 (05) :833-846

[10]

An exact solution for the static and dynamic analysis of FE discretized uncertain structures [J].

Falsone, G. ;

Ferro, G. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (21-24) :2390-2400

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