Reliability analysis of structures with interval uncertainties under stationary stochastic excitations

被引：59

作者：

Muscolino, Giuseppe ^{[1
,2
]}

Santoro, Roberta ^{[3
]}

Sofi, Alba ^{[4
,5
]}

机构：

[1] Univ Messina, Dept Engn, Villaggio S Agata, I-98166 Messina, Italy

[2] Univ Messina, Inter Univ Ctr Theoret & Expt Dynam, Villaggio S Agata, I-98166 Messina, Italy

[3] Univ Messina, Dept Engn, Villaggio S Agata, I-98166 Messina, Italy

[4] Univ Mediterranea Reggio Calabria, Dept Civil Energy Environm & Mat Engn, Via Graziella, I-89124 Reggio Di Calabria, Italy

[5] Univ Mediterranea Reggio Calabria, Inter Univ Ctr Theoret & Expt Dynam, Via Graziella, I-89124 Reggio Di Calabria, Italy

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2016年 / 300卷

关键词：

Interval uncertainties; Stochastic excitation; Reliability analysis; Interval Rational Series Expansion; Improved interval analysis; Upper bound and lower bound; BUT-BOUNDED PARAMETERS; DISCRETIZED STRUCTURES; DYNAMIC-ANALYSIS; SENSITIVITIES; TIME;

D O I：

10.1016/j.cma.2015.10.023

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Reliability analysis of linear discretized structural systems with interval uncertainties subjected to stationary Gaussian random excitation is addressed. Under the assumption of independent up-crossings of a specified threshold, an efficient procedure for the evaluation of the bounds of the interval reliability function of the generic response process is presented. The first step of the proposed approach is to derive approximate expressions of the interval mean-value and spectral moments of the response along with the associated bounds. To this aim, the improved interval analysis via extra unitary interval is applied in conjunction with a novel series expansion of the inverse of an interval matrix with modifications, called Interval Rational Series Expansion (IRSE). Then, the lower bound and upper bounds of the interval reliability function are readily evaluated by properly combining the bounds of the interval mean-value and spectral moments of the response. Two numerical examples are provided to demonstrate the accuracy of the proposed procedure and its usefulness in view of decision-making in engineering practice. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：47 / 69

页数：23