模糊可靠性模型的收敛性及改进的截集分布

张萌; 陆山

doi:10.13700/j.bh.1001-5965.2014.0026

模糊可靠性模型的收敛性及改进的截集分布

doi: 10.13700/j.bh.1001-5965.2014.0026

张萌,
陆山

西北工业大学动力与能源学院, 西安 710072

基金项目:

国家自然科学基金资助项目（70471057，71171164）；陕西省教育厅自然科学基金资助项目（03JK065）

详细信息

作者简介:
张萌（1986-），女，陕西合阳人，博士生，zhangmeng19860518@163.com.

中图分类号: TB114.3
计量
- 文章访问数: 1236
- HTML全文浏览量: 70
- PDF下载量: 475
- 被引次数: 0
出版历程
- 收稿日期: 2014-01-15
- 网络出版日期: 2014-08-20

Convergence of fuzzy reliability models and an improved cut-set distribution

Zhang Meng,
Lu Shan

School of Power and Energy, Northwestern Polytechnical University, Xi'an 710072, China

摘要

摘要: 基于截集法的结构模糊可靠性基本模型已被用于各种可靠性工程问题中，形成了应力-强度模糊可靠性干涉模型、结构疲劳寿命模糊可靠性模型和结构抗共振模糊可靠性模型等具体模型.提出了常用截集分布下模糊可靠性模型的收敛性定理，并予以理论证明，进而针对单侧无限安全域和双侧无限安全域这两类模型，分别给出了相应推论.定理表明，当截集逐渐变长时，采用常用截集分布所得的可靠性分析结果趋于某一固定值，而与具体的结构无关，因此是不合理的.为了避免这种不足，提出了一种新的截集分布——修正的截尾正态分布.并通过3个具体例子验证，采用文中所给的截集分布，模糊可靠性模型收敛于相应的随机可靠性模型，表明其具有良好的收敛性和更好的适用性.
- 机械结构可靠性 /
- 模糊变量 /
- 模糊可靠性模型 /
- 截集分布 /
- 收敛性
Abstract: The basic fuzzy reliability model of mechanical structures based on cut-set method has been applied to various engineering problems, and some specific models have been formed, such as stress-strength interference model, fatigue life model and avoid-resonance model. A convergence theorem of the model with commonly used cut-set distributions was proposed and proved, and then two corresponding inferences were obtained for the models with unilateral-infinite and bilateral-infinite safety domains respectively. The theorem indicates that when the cut-set becomes longer gradually, the reliability assessments of the fuzzy models with these commonly used cut-set distributions converge to a fixed value which has nothing to do with the specific mechanical structures and thus is unreasonable. In order to avoid this deficiency, a new cut-set distribution called modified truncated normal distribution was proposed. Meanwhile, three specific examples were carried out to verify that the fuzzy reliability model with the proposed cut-set distribution converges well to the corresponding random reliability model, which indicates it is of better convergence and wider applicability.
- mechanical structure reliability /
- fuzzy variables /
- fuzzy reliability models /
- cut-set distribution /
- convergence

HTML全文

参考文献(16)

[1]	Quaranta G. Finite element analysis with uncertain probabilities[J].Computer Methods in Applied Mechanics and Engineering,2011,200(1):114-129
[2]	Biondini F, Bontempi F,Malerba P G.Fuzzy reliability analysis of concrete structures[J].Computers and Structures,2004, 82(13): 1033-1052
[3]	Li B,Zhu M L,Xu K. A practical engineering method for fuzzy reliability analysis of mechanical structures[J].Reliability Engineering and System Safety,2000,67(3):311-315
[4]	Liu Y, Huang H Z,Levitin G.Reliability and performance assessment for fuzzy multi-state elements[J].Proceedings of the Institution of Mechanical Engineers,Part O:Journal of Risk and Reliability,2008,222(4):675-686
[5]	Tanrioven M, Wu Q H,Turner D R,et al.A new approach to real-time reliability analysis of transmission system using fuzzy Markov model[J].Electrical Power and Energy Systems,2004,26(10):821-832
[6]	Eryilmaz S, Rouyendegh B D.On profust reliability of coherent systems:signature-based expressions[J].Proceedings of the Institution of Mechanical Engineers,Part O:Journal of Risk and Reliability,2013,227(2):173-178
[7]	Wu H C. Fuzzy Bayesian system reliability assessment based on exponential distribution[J].Applied Mathematical Modelling,2006,30(6):509-530
[8]	董玉革. 随机变量和模糊变量组合时的模糊可靠性设计[J].机械工程学报,2000,36(6):25-29 Dong Yuge.Fuzzy reliability design with random variable and fuzzy variable[J].Chinese Journal of Mechanical Engineering,2000,36(6):25-29(in Chinese)
[9]	董玉革,朱文予, 陈心昭.机械模糊可靠性计算方法的研究[J].系统工程学报,2000,15(1):7-12 Dong Yuge,Zhu Wenyu,Chen Xinzhao.Study on a calculating method of machine fuzzy reliability[J].Journal of Systems Engineering,2000,15(1):7-12(in Chinese)
[10]	吕震宙,孙颉, 徐友良.机械结构系统模糊可靠性分析的数字计算方法[J].机械工程学报,2005,41(9):19-23 Lü Zhenzhou,Sun Jie,Xu Youliang.Numerical algorithm for fuzzy reliability analysis of mechanical structure system[J].Chinese Journal of Mechanical Engineering,2005,41(9):19-23(in Chinese)
[11]	李锋,孟广伟, 沙丽荣.考虑模糊失效准则的结构疲劳寿命可靠性[J].航空学报,2009,30(12):2317-2321 Li Feng,Meng Guangwei,Sha Lirong.Reliability analysis of structure fatigue life under fuzzy failure criteria[J].Acta Aeronautica et Astronautica Sinica,2009,30(12):2317-2321(in Chinese)
[12]	徐可君,江龙平, 隋育松.应用模糊方法计算构件振动可靠性[J].机械强度,2003,25(5):523-526 Xu Kejun,Jiang Longping,Sui Yusong.Applying fuzzy method to assessment vibration reliability of structural components[J].Journal of Mechanical Strength,2003,25(5):523-526(in Chinese)
[13]	马利,张恒喜,续斌, 等.航空发动机重要构件使用振动可靠性模糊评估[J].机械科学与技术,2006,25(11):1365-1368 Ma Li,Zhang Hengxi,Xu Bin,et al.Fuzzy estimation of aeroengine blades operational vibration reliability[J].Mechanical Science and Technology,2006,25(11):1365-1368(in Chinese)
[14]	Zhang M,Lu S. Fuzzy reliability research on vibration of blades considering fuzziness of both failure zone and influence factors[C]//Proceedings of 4th International Symposium on Jet Propulsion and Power Engineering.Xi'an:Northwestern Polytechnical University Press,2012:478-491
[15]	Jiang Q M, Chen C H.A numerical algorithm of fuzzy reliability[J].Reliability Engineering and System safety,2003,80(3):299-307
[16]	朱成熹. 测度论基础[M].北京:科学出版社,1983:22-46 Zhu Chengxi.Foundation of measurement[M].Beijing:Science Press,1983:22-46(in Chinese)