An envelope-function-based algorithm for time-dependent reliability analysis of structures with hybrid uncertainties

被引：10

作者：

Zhao, Qiangqiang ^{[1
]}

Wu, Tengfei ^{[1
]}

Hong, Jun ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Mech Engn, Key Lab Educ Minist Modern Design & Rotor Bearing, Xianning West Rd, Xi'an 710049, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2022年 / 110卷

基金：

中国国家自然科学基金;

关键词：

Time-dependent reliability; Hybrid uncertainty; Envelope function; Expansion point determination; Surrogate modeling; INTERVAL;

D O I：

10.1016/j.apm.2022.06.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper proposes a novel envelope-function-based algorithm for time-dependent reliability analysis considering random and interval uncertainties. First, the envelope function of the bound of the limit-state function is approximated with assistance of the first-order reliability method, thereby transforming time-dependent reliability problem into a time independent one. Here, the Kriging modeling method is utilized to construct the expansion point determination function for reducing the most probable point search, which significantly accelerates the expansion point determination in constructing the envelope function. After the envelope function is found, the time-dependent reliability in terms of random and interval uncertainties is efficiently calculated by a multivariate Gaussian integral. Finally, five case studies are used to demonstrate the effectiveness of the proposed algorithm. The results indicate it can provide accurate and efficient time-dependent reliability analysis for structures where the random and interval uncertainties coexist.(c) 2022 Elsevier Inc. All rights reserved.

引用

页码：493 / 512

页数：20

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