基于随机模糊参数的结构模糊可靠性分析模型

王磊; 刘文

基于随机模糊参数的结构模糊可靠性分析模型

王磊,
刘文

北京航空航天大学航空科学与工程学院, 北京 100083

详细信息

中图分类号: TB 1443; TH 114
计量
- 文章访问数: 2360
- HTML全文浏览量: 40
- PDF下载量: 806
- 被引次数: 0
出版历程
- 收稿日期: 2003-10-17
- 网络出版日期: 2005-04-30

Model for structural fuzzy reliability analysis based on fuzzy random parameter

School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 结构模糊可靠性理论研究主要是建立仅考虑失效准则模糊性的结构模糊可靠性分析模型.在现有结构模糊可靠性分析理论研究的基础上,同时考虑工程中结构参数的随机性和区间模糊性,提出了模糊概率密度函数的概念,并推导相应的模糊概率密度函数公式,给出了反映随机参数区间模糊性的隶属函数的类型和选取方法.建立了同时考虑随机参数区间模糊性和失效准则模糊性的结构模糊可靠性分析模型.讨论了模糊可靠性分析模型与常规的随机可靠性分析模型的相容性.并给出算例进行验证,研究结果表明,采用该结构模糊可靠性分析方法更能全面地利用结构参数信息.
- 结构分析 /
- 模糊 /
- 可靠性 /
- 隶属函数 /
- 模糊概率密度函数
Abstract: The research of structural fuzzy reliability theory is to set up a model for structural fuzzy reliability analysis just considering the defining fuzzy safety state. Based on the existed theory for structural fuzzy reliability analysis, a model for structural fuzzy reliability analysis accounting interval fuzziness of random parameter was presented. Thinking about the randomness and the interval fuzziness of structural parameter, the conception and expression of fuzzy probability density function was put forward. The type and method of selecting membership function of random parameter was given. A model for structural fuzzy reliability analysis accounting both interval fuzziness of random and defining fuzzy safety state was set up. The compatibility between the model for fuzzy reliability analysis and the random reliability analysis model was discussed. A example was given to verify the validity of the method. The result of the research shows that the method for structural fuzzy reliability can more completely utilize the structural parameter information.
- structural analysis /
- fuzzy /
- reliability /
- membership functions /
- fuzzy probabilistic density function

HTML全文

参考文献(1)

[1] 伦标,高英仪.模糊数学[M].广州:华南理工大学出版社,1995 Yang Lunbiao,Gao Yingyi.Fuzzy mathematics[M].Guangzhou:South China of University of Technology Press, 1995(in Chinese) [2] 震宙,冯元生.结构强度的广义可靠性模型[J].机械科学与技术,1996,15(1):45~49 Lv Zhenzhou, Feng Yuansheng. The generalized reliability model for structure strength[J]. Mechanical Science and Technology,1996,15(1):45~49(in Chinese) [3] 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 .机械强度,2000,22(1):36~40 Huang Hongzhong.Fuzzy reliability analysis of generalized static strength of mechanical stracture based on fuzzy failure griterion[J].Journal of Mechanical Strength,2000,22(1):36~40(in Chinese) [4] iu Yubin,Qiao Zhong,Wang Guangyuan.Fuzzy random reliability of structures based on fuzzy random variables[J].Fuzzy Sets and System,1997,86:345~355(in Chinese) [5] ller B, Graf W, Beer M. Safety assessment of structures in view of fuzzy randomness[J].Computers & Structures,2003,81:1567~1582 [6] 震宙,冯元生.考虑随机模糊性的结构广义可靠度计算方法[J].固体力学学报,1997,18(1):80~84 Lv Zhenzhou,Feng Yuansheng.The general reliability calculation mechod based on randomness and fuzziness for structure[J].Acta Mechanica Solida Sinica,1997,18(1):80~84(in Chinese) [7] 丹,张钰,张风和,等.两端截尾分布理论及其在广义应力-强度干涉模型中的应用[J].机械科学与技术,2000,19(5):689~691 Wang Dan, Zhang Yu, Zhang Fenghe, et al. Two end cutting-off-tail distribution theory and ist application to stress-strength interference model[J]. Mechanical Science and Technology,2000,19(5):689~691(in Chinese) [8] 云贵,赵国藩.基于模糊随机概率理论的可靠度分析模型[J].大连理工大学学报,1995,35(4):528~531 Li Yungui,Zhao Guofan.Unified model for structural reliability analysis based on fuzzy random probabilistic theory[J]. Journal of Dalian University of Technology,1995,35(4):528~531(in Chinese)

施引文献

资源附件(0)

访问统计