几种结构非概率可靠性模型的比较研究  

Comparisons of Several Non-Probabilistic Models for Structural Reliability

作　　者：王睿星[1] 王晓军[1] 王磊[1] 邱志平[1] 

机构地区：[1]北京航空航天大学固体力学研究所,北京100191

出　　处：《应用数学和力学》2013年第8期871-880,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(11002013);国防基础科研计划资助项目(A2120110001;B2120110011);航空科学基金资助项目(2012ZA51010)

摘　　要：相对概率可靠性模型和模糊可靠性模型,基于区间分析的结构非概率可靠性模型对数据的要求低,因此在实际工程中对非概率可靠性模型的研究越来越重要.近年来,非概率可靠性理论得到了很好的发展和完善.文中综述了已有的4种主要的非概率可靠性模型,针对线性结构功能函数,分别从度量原理、可靠性指标物理意义、适用范围和结果精度等方面对各可靠性模型进行比较与总结;针对非线性结构功能函数,对各可靠性模型的适用性进行了初步的讨论,从而对非概率可靠性模型有更加全面和深刻的理解,为实际工程中非概率可靠性模型的选取提供重要的理论依据.Non-probabilistic models for structural reliability,which were based on interval analysis,were much less demanding in data when compared with probabilistic reliability models and fuzzy reliability models.Therefore,studied of non-probabilistic models for structural reliability became more and more significant in practical projects.Theory of non-probabilistic models for structural reliability was well developed and improved in recent years.The existing four main non-probabilistic models for structural reliability were reviewed.With regard to the linear performance function,comparison and summary were made in aspects of measurement principle,physical significance of indicators,scope of application and result accuracy.As for the nonlinear performance function,the four models＇ feasibility was discussed.Hence,a more comprehensive and thorough understanding of non-probabilistic models for structural reliability is achieved and a theoretical base for choice of non-probabilistic models in practical projects provided.

关 键 词：结构可靠性 非概率模型 区间分析 比较 不确定性 

分 类 号：O302[理学—力学]