当系统中各组件的失效概率采用区间模型表征时,可以建立基于故障树的系统可靠性分析方法。该文提出一种非概率可靠性指标,该指标首次将系统安全标准或可靠性要求考虑其中,从而可以合理地评价系统的可靠性。基于非概率可靠性指标推导了用于确定各基本事件贡献程度的灵敏度指标,并将所提方法应用到某型飞机襟翼机构不对称运动故障树分析中。结果显示:所提方法可以合理评估系统可靠性并有效计算各基本事件的可靠性灵敏度,从而为开展系统可靠性优化设计提供参考。
A fault tree based system reliability method was developed to predict the failure probabilities of system components by a non-probability interval model. A non-probabilistic reliability index was developed which included reliability or safety criteria to evaluate the system reliability. Then, two sensitivity indices were developed to indicate the contribution of each basic event. This method was then used for a fault tree analysis of the unilateral asymmetric movement of an aircraft flap system. The results show that this method can accurately predict the system reliability and can accurately identify important events to provide references for optimizing the system reliability.
[1] ERICSON C A. Fault tree analysis[C]//System Safety Conference. Orlando, USA, 1999:1-9.
[2] CHANG J R, CHANG K H, LIAO S H. The reliability of general vague fault-tree analysis on weapon systems fault diagnosis[J]. Soft Computing, 2006, 10(7):531-542.
[3] PURBA J H. A fuzzy-based reliability approach to evaluate basic events of fault tree analysis for nuclear power plant probabilistic safety assessment[J]. Annals of Nuclear Energy, 2014, 70:21-29.
[4] LIANG X L, ZHAO Y X, ZHOU Z H. Research on application of fuzzy fault tree analysis in the electronic equipment fault diagnosis[C]//The 2nd International Conference on Computer and Automation Engineering (ICCAE). Singapore, 2010:65-67.
[5] 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.
[6] CAO Y Y, WANG J, XIE R, et al. Fault tree analysis of electro-mechanical actuators[C]//The 34th Chinese Control Conference (CCC). Hangzhou, China, 2015:6392-6396.
[7] RUIJTERS E, STOELINGA M. Fault tree analysis:A survey of the state-of-the-art in modeling, analysis and tools[J]. Computer Science Review, 2015, 15-16:29-62.
[8] SAMSON S, RENEKE J A, WIECEK M M. A review of different perspectives on uncertainty and risk and an alternative modeling paradigm[J]. Reliability Engineering & System Safety, 2009, 94(2):558-567.
[9] ELISHAKOFF I. Essay on uncertainties in elastic and viscoelastic structures:From A. M. Freudenthal's criticisms to modern convex modeling[J]. Computers & Structures, 1995, 56(6):871-895.
[10] BEN-HAIM Y, ELISHAKOFF I. Convex models of uncertainty in applied mechanics[M]. Amsterdam, Netherlands:Elsevier, 1990.
[11] 郭书祥. 非随机不确定结构的可靠性方法和优化设计研究[D]. 西安:西北工业大学, 2002. GUO S X. Non-stochastic reliability and optimization of uncertain structural systems[D]. Xi'an, China:Northwestern Polytechnical University, 2002. (in Chinese)
[12] BEN-HAIM Y. A non-probabilistic concept of reliability[J]. Structural Safety, 1994, 14(4):227-245.
[13] CARLSON C S. Effective FMEAs:Achieving safe, reliable, and economical products and processes using failure mode and effects analysis[M]. Hoboken, USA:John Wiley & Sons, 2012.
[14] MODARRES M. Risk analysis in engineering:Techniques, tools, and trends[M]. Boca Raton, USA:CRC Press, 2016.
[15] 吕震宙, 宋述芳, 李洪双, 等. 结构机构可靠性及可靠性灵敏度分析[M]. 北京:科学出版社, 2009. LU Z Z, SONG S F, LI H S, et al. Reliability and reliability sensitivity analysis for structure and mechanics[M]. Beijing, China:Science Press, 2009. (in Chinese)
[16] AVEN T, NØKLAND T E. On the use of uncertainty importance measures in reliability and risk analysis[J]. Reliability Engineering & System Safety, 2010, 95(2):127-133.
[17] YOUNGBLOOD R W. Risk significance and safety significance[J]. Reliability Engineering & System Safety, 2001, 73(2):121-136.
[18] BARALDI P, ZIO E, COMPARE M. A method for ranking components importance in presence of epistemic uncertainties[J]. Journal of Loss Prevention in the Process Industries, 2009, 22(5):582-592.
[19] CUI L J, LU Z Z, HAO W R. Importance analysis of the aircraft flap mechanism movement failure[J]. Journal of Aircraft, 2011, 48(2):612-622.
[20] FELDMAN A. Manipulation and the Pareto rule[J]. Journal of Economic Theory, 1979, 21(3):473-482.