Safety estimation of structural systems via interval analysis  

作　　者：Wang Xiaojun Wang Lei Qiu Zhiping 

机构地区：[1]Institute of Solid Mechanics, Beihang University

出　　处：《Chinese Journal of Aeronautics》2013年第3期614-623,共10页中国航空学报（英文版）

基　　金：National Nature Science Foundation of China(No.11002013);Defense Industrial Technology Development Program(Nos.A2120110001,B2120110011);the Aeronautical Science Foundation of China(No.2012ZA51010)

摘　　要：Considering that the uncertain information has serious influences on the safety of structural systems and is always limited, it is reasonable that the uncertainties are generally described as interval sets. Based on the non-probabilistic set-theoretic theory, which is applied to measuring the safety of structural components and further combined with the branch-and-bound method for the probabilistic reliability analysis of structural systems, the non-probabilistic branch-and-bound method for determining the dominant failure modes of an uncertain structural system is given. Meanwhile, a new system safety measuring index obtained by the non-probabilistic set-theoretic model is investigated. Moreover, the compatibility between the classical probabilistic model as well as the proposed interval-set model will be discussed to verify the physical meaning of the safety measure in this paper. Some numerical examples are utilized to illustrate the validity and feasibility of the developed method.Considering that the uncertain information has serious influences on the safety of structural systems and is always limited, it is reasonable that the uncertainties are generally described as interval sets. Based on the non-probabilistic set-theoretic theory, which is applied to measuring the safety of structural components and further combined with the branch-and-bound method for the probabilistic reliability analysis of structural systems, the non-probabilistic branch-and-bound method for determining the dominant failure modes of an uncertain structural system is given. Meanwhile, a new system safety measuring index obtained by the non-probabilistic set-theoretic model is investigated. Moreover, the compatibility between the classical probabilistic model as well as the proposed interval-set model will be discussed to verify the physical meaning of the safety measure in this paper. Some numerical examples are utilized to illustrate the validity and feasibility of the developed method.

关 键 词：Interval analysis Non-probabilistic branch-and-bound method Non-probabilistic set-theoretic measure Structural reliability 

分 类 号：V214[航空宇航科学与技术—航空宇航推进理论与工程]