• CN:11-2187/TH
  • ISSN:0577-6686

›› 2010, Vol. 46 ›› Issue (4): 157-162.

• 论文 • 上一篇    下一篇

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基于容差分析的结构非概率可靠性模型

洪东跑;马小兵;赵宇;申丽娟   

  1. 北京航空航天大学工程系统工程系
  • 发布日期:2010-02-20

Non-probabilistic Model for Structural Reliability Based on Tolerance Analysis

HONG Dongpao;MA Xiaobing;ZHAO Yu;SHEN Lijuan   

  1. Department of System Engineering of Engineering Technology, Beihang University
  • Published:2010-02-20

摘要: 在对新结构进行可靠性设计分析时,概率可靠性模型和模糊可靠性模型对数据信息要求较高。为了充分利用结构的不确定性信息以弥补数据的不足,在采用区间变量描述结构不确定性参数的前提下,研究不确定性参数的容差与偏差之间的关系及其对结构可靠性的影响方式,提出一种基于容差分析的结构非概率可靠性模型。进而,以结构应力—强度干涉模型为基础,分析结构的典型干涉模式与不确定性参数容差的存在性质,给出结构非概率可靠性的一种新的度量方法。以简单线性结构为例给出相应的算法,并将此推广到非线性结构。接着以多变量线性结构为例,给出相应算法,并同样将其推广到非线性结构。该方法适用于任意形式的结构功能函数,计算简便,易于工程实现,为结构容差设计与可靠性分析提供定量依据。

关键词: 结构, 可靠性, 强度, 容差分析, 应力

Abstract: Adequate data is necessary for probabilistic reliability model and fuzzy reliability model to analysis the new structure. To make up the gap by using the uncertain information of structures well, attempts are made to propose a new reliability model. The uncertain parameters of the structures are expressed as non-probabilistic interval variables. Then, the relation between tolerance and deviation of uncertain parameters of structures and its impact on the structural reliability are studied. Based on tolerance analysis, a non-probabilistic model for structural reliability is established. Furthermore, the character of the tolerance and the typical interference mode are analyzed according to the structural stress-strength interference model, and a new measure method of structural non-probabilistic reliability is proposed. A simple linear structure is taken as an example, the algorithm of non-probabilistic reliability is put forward and extended to the non-linear structures. Similarly, the algorithm for multiple linear structures is put forward and extended to the multiple non-linear structures. The presented model can be applied to any form of structural performance function, and is easy to use in engineering due to its convenient calculation, thereby providing quantitative basis for structural tolerance design and reliability analysis.

Key words: Reliability, Strength, Stress, Structures, Tolerance analysis

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