Construction of probability box model based on maximum entropy principle and corresponding hybrid reliability analysis approach

被引：59
|
作者：
Liu, Xin [1 ]
Wang, Xinyu [1 ]
Xie, Jun [1 ]
Li, Baotong [2 ]
机构：
[1] Changsha Univ Sci & Technol, Engn Res Ctr Catastroph Prophylaxis & Treatment R, Minist Educ, Changsha 410114, Hunan, Peoples R China
[2] Xi An Jiao Tong Univ, Key Lab Educ Minist Modern Design & Rotor Bearing, Xian 710049, Shaanxi, Peoples R China
来源：
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2020年 / 61卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Uncertainty; Construction of probability box model; Maximumentropy principle; Hybrid reliability analysis; P-BOX; STRUCTURAL RELIABILITY; SYSTEM RELIABILITY; CONVEX MODEL; UNCERTAINTY; DESIGN; PROPAGATION; BOUNDS; OPTIMIZATION; COMPUTATION;
D O I：
10.1007/s00158-019-02382-9
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a new method for constructing the probability box (p-box) model is developed based on maximum entropy principle. The distribution characteristics of probability box variable can be described by the nature of moments. The moment conditions are used to ensure the consistency of the cumulative distribution function (CDF), and the shape conditions are adopted to guarantee the validity of the cumulative distribution function. To ensure the uniqueness of the cumulative distribution function, simultaneously, the cumulative distribution function of the probability box variable is reconstructed based on maximum entropy principle. Then, considering that both aleatory and epistemic uncertainty exist in many engineering problems, a reliability analysis approach based on probability and probability box hybrid model is also developed for uncertain structures. Finally, four numerical examples and two engineering examples are investigated to demonstrate the effectiveness of the present method.
引用
收藏
页码：599 / 617
页数：19
相关论文
共 50 条
  • [21] Principle of maximum entropy for reliability analysis in the design of machine components
    Zhang, Yimin
    FRONTIERS OF MECHANICAL ENGINEERING, 2019, 14 (01) : 21 - 32
  • [22] Reliability analysis based on the principle of maximum entropy and Dempster-Shafer evidence theory
    Qiu Jiwei
    Zhang Jianguo
    Ma Yupeng
    JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2018, 32 (02) : 605 - 613
  • [23] Probability analysis of static voltage stability based on semi-invariant and maximum entropy principle
    Zheng X.
    Xia C.
    Taiyangneng Xuebao/Acta Energiae Solaris Sinica, 2022, 43 (03): : 126 - 132
  • [24] Identification model based on the maximum information entropy principle
    Miyano, H
    JOURNAL OF MATHEMATICAL PSYCHOLOGY, 2001, 45 (01) : 27 - 42
  • [25] A model for colossal magnetoresistance based on the maximum entropy principle
    Picozzi, S
    Malik, FB
    CONDENSED MATTER THEORIES, VOL 13, 1998, 13 : 265 - 272
  • [26] Application of maximum entropy principle for reliability-based design optimization
    Hee Youb Kang
    Byung Man Kwak
    Structural and Multidisciplinary Optimization, 2009, 38 : 331 - 346
  • [27] Application of maximum entropy principle for reliability-based design optimization
    Kang, Hee Youb
    Kwak, Byung Man
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2009, 38 (04) : 331 - 346
  • [28] A maximum entropy principle approach to a joint probability model for sequences with known neighbor and next neighbor pair probabilities
    Lou, Hongfeng
    Cukier, Robert, I
    CHEMICAL PHYSICS, 2020, 538
  • [29] Reliability analysis of structures based on a probability-uncertainty hybrid model
    Zhang, Lei
    Zhang, Jianguo
    You, Lingfei
    Zhou, Shuang
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2019, 35 (01) : 263 - 279
  • [30] Hybrid reliability analysis with both random and probability-box variables
    Yang, Xufeng
    Liu, Yongshou
    Zhang, Yishang
    Yue, Zhufeng
    ACTA MECHANICA, 2015, 226 (05) : 1341 - 1357
12345