Probabilistic interval reliability of structural systems

被引：163

作者：

Qiu, Zhiping ^{[1
]}

Yang, Di ^{[1
]}

Elishakoff, Isaac ^{[2
]}

机构：

[1] Beijing Univ Aeronaut & Astronaut, Inst Solid Mech, Beijing 100083, Peoples R China

[2] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2008年 / 45卷 / 10期

关键词：

probability; interval analysis; structural systems; interval reliability;

D O I：

10.1016/j.ijsolstr.2008.01.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The probabilistic reliability approach is the most widely used method for reliability analysis. The recent research shows that the reliabilities of structural systems strongly depend on the parameters of the probability model. It is possible that the little error in the estimation of the parameters may lead to the remarkable error of the resulting probability. In this study, we introduce the interval approach into the conventional reliability theory. We present a novel approach which allows us to obtain the system failure probability interval from the statistical parameter intervals of the basic variables. This approach is a combination of the two techniques, namely the classical reliability theory and the interval analysis. In the end of this paper, we show the feasibility of the proposed approach through two examples of the truss systems. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2850 / 2860

页数：11

共 17 条

[1] COMBINATION OF PROBABILISTIC AND CONVEX MODELS OF UNCERTAINTY WHEN SCARCE KNOWLEDGE IS PRESENT ON ACOUSTIC EXCITATION PARAMETERS [J].

ELISHAKOFF, I ;

COLOMBI, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 104 (02) :187-209

[2]

ELISHAKOFF I, 1994, STRUCTURAL SAFETY & RELIABILITY, VOLS 1-3, P761

[3] NONLINEAR BUCKLING OF A COLUMN WITH INITIAL IMPERFECTION VIA STOCHASTIC AND NONSTOCHASTIC CONVEX MODELS [J].

ELISHAKOFF, I ;

CAI, GQ ;

STARNES, JH .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1994, 29 (01) :71-82

[4]

Elishakoff I., 1999, CISM COUR L, P263

[5]

ELISHAKOFF I, 1994, P 6 INT C STRUCT SAF, V1, P109

[6]

ELISHAKOFF I, 1994, PROBABILISTIC CONVEX

[7] Combination of anti-optimization and fuzzy-set-based analyses for structural optimization under uncertainty [J].

Fang, J ;

Smith, SM ;

Elishakoff, I .

MATHEMATICAL PROBLEMS IN ENGINEERING, 1998, 4 (03) :187-200

[8]

Gurov S V, 1999, SYSTEM RELIABILITY I

[9] Bounds of structural response for all possible loading combinations [J].

Mullen, RL ;

Muhanna, RL .

JOURNAL OF STRUCTURAL ENGINEERING, 1999, 125 (01) :98-106

[10] Comparison of fuzzy set and convex model theories in structural design [J].

Pantelides, CP ;

Ganzerli, S .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2001, 15 (03) :499-511

← 1 2 →