Probabilistic interval analysis for structures with uncertainty

被引：168

作者：

Gao, Wei ^{[1
]}

Song, Chongmin ^{[1
]}

Tin-Loi, Francis ^{[1
]}

机构：

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

来源：

STRUCTURAL SAFETY | 2010年 / 32卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

Random interval arithmetic; Random interval moment method; Random interval perturbation method; Statistic data; Perturbation theory; Taylor expansion; FINITE-ELEMENT-METHOD; DYNAMIC-RESPONSE ANALYSIS; MONTE-CARLO-SIMULATION; STOCHASTIC TRUSS STRUCTURES; RANDOM-EXCITATION; SYSTEMS; PARAMETERS; NETWORKS; MARKET; PREDICTION;

D O I：

10.1016/j.strusafe.2010.01.002

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

A hybrid probabilistic and interval method for engineering problems described by a mixture of random and interval variables is presented. Random interval arithmetic for carrying out basic operations between random and interval variables is developed by extending interval arithmetic rules. The uncertainty of a random interval variable is represented by probabilistic as well as interval information. A random interval moment method is proposed to calculate the mean and variance of random interval variables. The solution strategy and associated numerical tool are developed by using perturbation theory and Taylor expansion for linear equations with random and interval variables. Engineering applications in structures with analytical or semi-analytical solutions are used to demonstrate the accuracy and effectiveness of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：191 / 199

页数：9

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