结构的失效可能度及模糊概率计算方法

郭书祥; 吕震宙

结构的失效可能度及模糊概率计算方法

郭书祥¹,
吕震宙²

1.
空军工程大学工程学院力学教研室西安 710038;
2.
西北工业大学飞机工程系西安 710072

基金项目: 国家自然科学基金资助项目(59575040,59775032);航空基金资助项目(00B53010)

详细信息

作者简介:
郭书祥(1964- ),男,陕西商州人,教授,博士.

中图分类号: O213.2;TB114.3
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- 文章访问数: 2497
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- 被引次数: 0
出版历程
- 收稿日期: 2001-03-18
- 修回日期: 2002-12-20
- 刊出日期: 2003-03-15

Procedure for Computing the Possibility and Fuzzy Probability of Failure of Structures

GUO Shu-xiang¹,
Lü Zhen-zhou²

1.
Faculty of Mechanics, Engineering Institute, Air Force University of Engineering, Xi'an 710038, P. R. China;
2.
Department of Aircraft Engineering, Northwestern Polytechnical University, Xi'an 710072, P. R. China

摘要

摘要: 依据模糊可能性理论,系统地建立含模糊变量时结构的可靠性计算模型。旨在解决模糊结构、模糊-随机结构和模糊状态假设下结构的可靠性计算问题。所建模型可给出模糊结构失效的可能度和模糊-随机结构失效概率的可能性分布。研究表明:对同时含模糊变量和随机变量的混合可靠性计算问题,把失效概率(或可靠度)作为模糊变量,能更客观地反映系统的安全状况。算例分析说明了文中方法的合理性和有效性。
- 结构可靠性 /
- 可能度 /
- 模糊变量 /
- 模糊概率
Abstract: Traditionally, the calculation of reliability of fuzzy random structures is based on the wellknown formulation of probability of fuzzy events.But sometimes the results of this formulation willnot indicating the real state of safety of fuzzy-random structures.Based on the possibility theory, a computational procedure for the reliability analysis of fuzzy failure problems and random-fuzzy failure problems of mechanical structures that contain fuzzy variables were presented .A procedure for the analysis of structural reliability of problems of fuzzy failure criterion was also proposed.The failure possibility of fuzzy structures and possibility distribution of the probability of failure of fuzzy-random structures can be given by the proposed methods.It is shown that for the hybrid probabilistic and fuzzy reliability problems, the probability of failure should be suitably taken as a fuzzy variable in order to indicate the real safety of system objectively.Two examples illustrate the validity and rationality of the proposed methods.
- structural reliability /
- possibility /
- fuzzy variable /
- fuzzy probability

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参考文献(8)

[1]	王光远,陈树勋.工程结构系统软设计理论及应用[M].北京:国防工业出版社,1996.
[2]	吕震宙,岳珠峰,冯元生.磨损的随机模糊失效概率计算方法[J].机械科学和技术,1997,16(6):1018-1023.
[3]	郭书祥,吕震宙.基于可能性理论的结构模糊可靠性方法[J].计算力学学报,2002,19(1):1018-1025.
[4]	黄洪钟.基于模糊失效准则的机械结构广义静强度的模糊可靠性计算理论[J].机械强度,2000,22(1):36-40.
[5]	韩恩厚,崔广椿.疲劳强度的模糊可靠性设计方法[J].航空学报,1994,15(1):89-93.
[6]	Furuta H.Fuzzy logic and its contribution to reliability analysis[A].In:Rackwitz R,Augusti G,et al Eds.Reliability Optimization of Structural Systems[C].Chapman & Hall,1995:61-76.
[7]	Sawyer J P,Rao S S.Strength-based reliability and failure assessment of fuzzy mechanical and structural systems[J].AIAA Journal,1999,37(1):84-92.
[8]	Cremona C,Gao Y.The possibilistic reliability theory:theoretical aspects and applications[J].Structural Safety,1997,19(2):173-201.