Performance Reliability of Polymorphic Systems by Fuzzy Fault Tree Based on T-S Model

doi:10.3901/JME.2016.10.191

Abstract

Abstract: T-S fuzzy fault tree is a kind of fault tree constructed by a series of T-S gates with IF-THEN logic. This can solve the multi-state issue, uncertainty of failure mechanism, and that failure rate of the basic event is not accurately known in complex systems. Currently, this method mainly analyzes the system function failures. As a result, system has different performance reliability under different fault conditions. In practice, many of the internal failures of complex polymorphic systems often cause performance degradation, and multiple performance status appears. By using the expectation theory of statistics, giving performance variable for system and different performance values at different fault conditions, a method analyzing the performance reliability of a polymorphic system has been proposed. This method can also compute conditional expected performance reliability in condition of knowing the basic event’s or middle event’s failure. The performance reliability of avionics full duplex switched ethernet(AFDX), which is currently used on large aircraft, is analyzed by this method.

Key words: AFDX, fault tree, multi-state system, performance reliability, T-S model

CLC Number:

TP393

SUN Lina, HUANG Ning, WU Weiqiang, LI Xinkun. Performance Reliability of Polymorphic Systems by Fuzzy Fault Tree Based on T-S Model[J]. Journal of Mechanical Engineering, 2016, 52(10): 191-198.

References

[1] LEE W, GROSH D L, TILLMAN F A, et al. Fault tree analysis, methods, and applications：A review[J]. Reliability, IEEE Transactions on. 1985, 34(3): 194-203.
[2] 戚珩,李光,姜晨,等．基于贝叶斯网络的复杂系统多态可靠性分析[J]．现代制造工程,2014(1)：92-96.
QI Heng, LI Guang, JIANG Chen, et al. Reliability analysis of multi-state system based on Bayesian networks[J]. Moder Manufacturing Engineering,2014(1)：92-96.
[3] TANAKA H, FAN L T, LAI F S, et al. Fault-tree analysis by fuzzy probability[J]. IEEE Transactions on Reliability,1983, 32(5)：453-457.
[4] SINGER D. A fuzzy set approach to fault tree and reliability analysis[J]. Fuzzy Sets and Systems, 1990, 34(2)：145-155.
[5] SURESH P V, BABAR A K, RAJ V V. Uncertainty in fault tree analysis：A fuzzy approach[J]. Fuzzy Sets and Systems, 1996, 83(2)：135-141.
[6] PAN H, YUN W. Fault tree analysis with fuzzy gates[J]. Computers & Industrial Engineering, 1997, 33(3)：569-572.
[7] LIN C, WANG M. Hybrid fault tree analysis using fuzzy sets[J]. Reliability Engineering and System Safety, 1997, 58(3)：205-213.
[8] 宋华,张洪钺,王行仁．T-S模糊故障树分析方法[J]．控制与决策, 2005(8)：854-859.
SONG Hua, ZHANG Hongyue, WANG Xingren. Fuzzy fault tree analysis based on T-S model[J]. Control and Decision, 2005, 20(8)：854-858.
[9] 陈东宁,姚成玉．基于模糊贝叶斯网络的多态系统可靠性分析及在液压系统中的应用[J]．机械工程学报, 2012,48(16)：175-183.
CHEN Dongning, YAO Chengyu. Reliability analysis of multi-state system based on fuzzy Bayesian networks and application in hydraulic system[J]. Journal of Mechanical Engineering, 2012, 48(16)：175-183.
[10] LAVASANI S M, ZENDEGANI A, CELIK M. An extension to fuzzy fault tree analysis (FFTA) application in petrochemical process industry[J]. Process Safety and Environmental Protection, 2015, 93：75-88.
[11] SENOL Y E, AYDOGDU Y V, SAHIN B, et al. Fault tree analysis of chemical cargo contamination by using fuzzy approach[J]. Expert Systems with Applications, 2015, 42(12)：5232-5244.
[12] QI J, HU X, GAO X. Quantitative risk analysis of subsea pipeline and riser: an experts’ assessment approach using fuzzy fault tree[J]. International Journal of Reliability and Safety, 2014, 8(1)：33-50.
[13] 姚成玉,陈东宁,王斌．基于T-S故障树和贝叶斯网络的模糊可靠性评估方法[J]．机械工程学报, 2014,50(2)：193-201．
YAO Chengyu, CHEN Dongning, WANG Bin. Fuzzy reliability assessment method based on T-S fault tree and Bayesian network[J]. Journal of Mechanical Engineering,2014,50(2)：193-201.
[14] 姚成玉,张荧驿,陈东宁,等．T-S模糊重要度分析方法研究[J]．机械工程学报,2011,47(12)：163-169．
YAO Chengyu, ZHANG Yingyi, CHEN Dongning, et al. Research on T-S fuzzy importance analysis methods[J]. Journal of Mechanical Engineering, 2011, 47(12)：163-169.
[15] 唐宏宾,吴运新．基于T-S模糊故障树的混凝土泵车泵送液压系统故障诊断[J]．计算机应用研究,2012(2)：561-564．
TANG Hongbin, WU Yunxin. Fault diagnosis of hydraulic system of concrete pump truck based on T-S fuzzy fault tree analysis[J]. Application Research of Computers,2012(2)：561-564.
[16] 陈东宁,姚成玉,党振．基于T-S模糊故障树和贝叶斯网络的多态液压系统可靠性分析[J]．中国机械工程,2013(7)：899-905．
CHEN Dongning, YAO Chengyu, DANG Zhen. Reliability analysis of multi-state hydraulic system based on T-S fuzzy tree and Bayesian network[J]. China Mechanical Engineering,2013(7)：899-905.