Refined first-order reliability method using cross-entropy optimization method

作     者：Arab, Hamed Ghohani Rashki, Mohsen Rostamian, Mehdi Ghavidel, Alireza Shahraki, Hossein Keshtegar, Behrooz 

作者机构：Univ Sistan & Baluchestan Dept Civil Engn Zahedan Iran Univ Sistan & Baluchestan Dept Architecture Engn Zahedan Iran Univ Memphis Memphis TN 38152 USA Univ Bojnord Dept Civil Engn Bojnord Iran Univ Zabol Dept Civil Engn Zabol Iran 

出 版 物：《ENGINEERING WITH COMPUTERS》 (计算机在工程中的应用)

年 卷 期：2019年第35卷第4期

页      面：1507-1519页

核心收录：

学科分类：08[工学] 0802[工学-机械工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Failure probability Probabilistic model Refined FORM Cross-entropy optimization 

摘      要：Generally, the first-order reliability method (FORM) is an efficient and accurate reliability method for problems with linear limit state functions (LSFs). It is showed that the FORM formula may produce inaccurate results when the LSF is defined by mathematical forms introduced as gray function. Thus, the original FORM formula may provide the results with huge errors. In this paper, a probabilistic optimization model as refined FORM (R-FORM) is presented to search most probable failure point (MPP) with the accurate results for gray LSFs. The cross-entropy optimization (CEO) method is utilized to search MPP in proposed R-FORM model. Several reliability problems are applied to illustrate the accuracy of the R-FORM compared to the conventional FORM formula. Results illustrate that the R-FORM provides more accurate results than the FORM for gray performance functions.