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具有中介状态的旁联工程系统可靠性向量分析
  • 期刊名称:工程力学,2009,26(12): 24-30
  • 时间:0
  • 分类:TB114.3[理学—概率论与数理统计;理学—数学;理学—应用数学;一般工业技术]
  • 作者机构:[1]西南石油大学建筑工程学院,四川成都610500
  • 相关基金:基金项目:国家自然科学基金项目(50678154,50974105);高等学校博士学科点专项科研基金项目(20060615003);教育部优秀青年教师计划项目;四川省教育厅自然科学重点项目(2006A121)
  • 相关项目:基于可靠性向量和失效相关性的复杂抗震结构与系统全局优化理论与方法研究
中文摘要:

阐述了传统模糊可靠性理论在引入模糊工作状态后,造成因素处理方法和分析模型的高度复杂性,以及计算方法过于烦琐从而难以为工程实际所应用的深刻原因,这一原因对于逻辑关系较为复杂的旁联系统尤为突出。认为在实际工程系统中,结构单元和系统可以简化为具有"安全-中介-失效"三级工作模式,这里的"中介"即为"故障"。这时,系统及其单元均具有安全、中介、失效三种工作状态。采用所提出的具有"安全-中介-失效"三级工作模式的结构单元可靠性分析方法,建立了具有安全、中介、失效三种工作状态的旁联系统的可靠性向量计算模型。可靠性向量分析的结果是求出旁联系统的安全概率(可靠度)PR、中介概率PM和失效概率PF,它们联合起来构成可靠性向量[PR,PM,PF],简记为[R,M,F]。该文给出了一个简单算例。

英文摘要:

It is difficult to apply the traditional fuzzy reliability theory to a practical engineering case because some fuzzy work states are introduced. The main reason is explained, that is, the method of dealing factors of some fuzzy work states is detailed continuously, the analysis model is complicated more and more and the calculation program is over elaborate, especially to on-off engineering system with complex logistic relation. In fact, a system and its elements all may be simplified as those with three-stage work modes of safety, intermediate and failure. The intermediate states are the trouble with a system and its elements. Naturally, a system and its elements are taken with three types of work states, that is, safety, intermediate and failure. A reliability analysis method of structures and systems with work mode of safety-intermediate-failure is introduced in the paper. Further, it is considered that an on-off engineering system and its structures all should have three work states of safety, intermediate and failure. The results of reliability analysis should be safety probability (reliability) PR, intermediate probability PM and failure probability PF of the on-off engineering system, which compose so-called reliability vector [PR,PM,PF]. The calculation model of reliability vector for the on-off engineering system is advanced. Finally, a simple numerical example is given out.

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