基于退化相关性分析的竞争失效系统可靠性模型

doi:10.3969/j.issn.1000-1093.2020.07.021

摘要/Abstract

摘要： 复杂系统失效往往受多个退化过程及外界冲击的影响，属于竞争失效过程。为分析此类系统可靠性同时考虑冲击过程对退化过程的影响、不同退化过程间的相关关系和冲击导致不同退化过程退化突增量之间的相关关系，基于Gamma过程和Copula函数建立系统竞争失效可靠性模型，并提出相应的可靠性近似模型以简化计算。在此基础上，给出相关模型的参数估计和Copula函数选择方法。以微型发动机为例对系统可靠性近似模型进行检验，并分析相关性参数对系统可靠性的影响。案例结果验证了可靠性近似模型的精确性，表明退化相关性对系统可靠度有直接影响，在退化故障为主要故障模式的系统可靠性分析中需要充分考虑退化相关性。

关键词: 竞争失效系统, 可靠性, 退化相关性, 随机退化过程, 退化阈值冲击模型

Abstract: Failure of complex systems is often affected by multiple degradation processes and external shocks, and is a competing failure process. To analyze the reliability of such systems, the influence of shock process on the degradation process, the dependency of different degradation processes, and the dependency of the sudden increments of degradation caused by shock are considered simultaneously, and the system reliability model with competing failure is derived based on Gamma process and Copula function, and then an approximate reliability model is proposed to simplify the calculation. On this basis, the parameter estimation and Copula function selection methods are presented. The approximate model of system reliability is tested by taking micro-engine as an example, and the influence of dependency parameters on system reliability is analyzed. The result verifies the accuracy of the approximate reliability model, and illustrates that the dependent degradation has direct influence on the system reliability. Thus, for the system that degradation failure is the dominant failure mode, the dependent degradation should be considered seriously in reliability analysis. Key

Key words: competingfailuresystem, reliability, dependentdegradation, stochasticdegradationprocess, degradationthresholdshockmodel

中图分类号:

TB114.33

杨志远，赵建民，程中华，李俐莹，池阔. 基于退化相关性分析的竞争失效系统可靠性模型[J]. 兵工学报, 2020, 41(7): 1423-1433.

YANG Zhiyuan, ZHAO Jianmin, CHENG Zhonghua, LI Liying, CHI Kuo. Reliability Model of Competing Failure System with Dependent Degradation[J]. Acta Armamentarii, 2020, 41(7): 1423-1433.

参考文献

［1］ FENG Q M, JIANG L, COIT D W. Reliability analysis and condition-based maintenance of systems with dependent degrading components based on thermodynamic physics-of-failure[J]. The International Journal of Advanced Manufacturing Technology, 2016, 86: 913-923.
［2］ SPENGEN W M V. MEMS reliability from a failure mechanisms perspective［J］. Microelectronics Reliability, 2003, 43(7):1049-1060.
［3］ IANNACCI J. Reliability of MEMS: a perspective on failure mechanisms, improvement solutions and best practices at development level［J］. Displays, 2015, 37:62-71.
［4］刘小平, 张立杰, 沈凯凯, 等. 考虑测量误差的步进加速退化试验建模与剩余寿命估计［J］. 兵工学报, 2017, 38(8): 1586-1592.
LIU X P, ZHANG L J, SHEN K K, et al. Step stress accelerated degradation test modeling and remaining useful life estimation in consideration of measuring error［J］. Acta Armamentarii, 2017, 38(8): 1586-1592. (in Chinese)
［5］闫理跃, 王厚军, 刘震. 一种结合噪声辅助技术和现场数据的模拟电路实时可靠度预测方法［J］. 兵工学报, 2019, 40(2): 326-333.
YAN L Y, WANG H J, LIU Z. A real-time reliability prediction approach for analog circuits based on noise-assisted technique and on-site data update［J］. Acta Armamentarii, 2019, 40(2): 326-333. (in Chinese)
［6］ WANG X, BALAKRISHNAN N, GUO B. Residual life estimation based on a generalized Wiener degradation process［J］. Reliability Engineering and System Safety, 2014, 124:13-23.
［7］ MERCIER S, PHAM H. A preventive maintenance policy for a continuously monitored system with correlated wear indicators［J］. European Journal of Operational Research, 2012, 222(2): 263-272.
［8］ WANG X L,BALAKRISHNAN N, GUO B. Residual life estimation based on nonlinear-multivariate Wiener processes［J］.Journal of Statistical Computation and Simulation, 2015, 85(9):1742-1764.
［9］ WANG X L, BALAKRISHNAN N, GUO B, et al. Residual life estimation based on bivariate non-stationary gamma degradation process［J］. Journal of Statistical Computation and Simulation, 2015, 85(2):405-421.

［10］ BIAN L, GEBRAEEL N. Stochastic modeling and real-time prognostics for multicomponent systems with degradation rate interactions［J］. IIE Transactions, 2013, 46(5): 470-482.
［11］ RASMEKOMEN N, PARLIKAD A K. Condition-based maintenance of multi-component systems with degradation state-rate interactions［J］. Reliability Engineering and System Safety, 2016, 148:1-10.
［12］杨志远, 赵建民, 程中华. 退化相关多部件系统预防性维修决策模型［J］. 系统工程与电子技术, 2018, 40(4): 823-832.
YANG Z Y, ZHAO J M, CHENG Z H. The preventive maintenance decision model of multi-component system with degradation interaction［J］. Systems Engineering and Electronics, 2018, 40(4): 823-832. (in Chinese)
［13］ PAN Z Q, BALAKRISHNAN N, SUN Q, et al. Bivariate degradation analysis of products based on wiener processes and copulas ［J］. Journal of Statistical Computation and Simulation, 2013, 83(7): 1316-1329.
［14］ HONG H P, ZHOU W, ZHANG S, et al. Optimal condition-based maintenance decisions for systems with dependent stochastic degradation of components［J］. Reliability Engineering and System Safety, 2014, 121:276-288.
［15］ WANG X L, GUO B, CHENG Z J. Residual life estimation based on bivariate Wiener degradation process with time-scale transformations［J］. Journal of Statistical Computation and Simulation, 2014, 84(3):545-563.
［16］ LI H P, DELOUX E, DIEULLE L. A condition-based maintenance policy for multi-component systems with Lévy copulas dependence［J］. Reliability Engineering & System Safety, 2016, 149:44-55.
［17］ YU L, LI Y P, HUANG G H, et al. A copula-based flexible-stochastic programming method for planning regional energy system under multiple uncertainties: a case study of the urban agglomeration of Beijing and Tianjin ［J］. Applied Energy, 2018, 210:60-74.
［18］ SONG S L, COIT D W, FENG Q M, et al. Reliability analysis for multi-component systems subject to multiple dependent competing failure processes［J］. IEEE Transactions on Reliability, 2014, 63(1):331-345.
［19］ PENG H, FENG Q M, COIT D W. Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes［J］. IIE Transactions, 2010, 43(1):12-22.
［20］ WANG Y P, PHAM A H. Imperfect preventive maintenance policies for two-process cumulative damage model of degradation and random shocks［J］. International Journal of Systems Assurance Engineering and Management, 2011, 2(1):66-77.
［21］ RAFIEE K, FENG Q, COIT D W. Reliability modeling for dependent competing failure processes with changing degradation rate［J］. IIE Transactions, 2014, 46(5):483-496.
［22］ JIANG L, FENG Q M, COIT D W. Reliability and maintenance modeling for dependent competing failure processes with shifting failure thresholds［J］. IEEE Transactions on Reliability, 2012, 61(4):932-948.
［23］黄文平, 周经伦, 宁菊红, 等. 基于变失效阈值的竞争失效可靠性模型［J］. 系统工程与电子技术, 2017, 39(4): 941-946.
HUANG W P, ZHOU J L, NING J H, et al. Reliability model for competing failure with shift thresholds［J］. Systems Engineering and Electronics, 2017, 39(4): 941-946. (in Chinese)
［24］安宗文, 李昊. 基于变动失效阈值和退化速率的系统可靠性模型［J］. 兰州理工大学学报, 2019, 45(1): 38-42.
AN Z W, LI H. Reliability model of system based on shifting failure threshold and degradation rate［J］. Journal of Lanzhou University of Technology, 2019, 45(1): 38-42. (in Chinese)
［25］ NOORTWIJK J M V. A survey of the application of gamma processes in maintenance［J］.Reliability Engineering and System Safety, 2009, 94(1): 2-21.
［26］ CHERUBINI U, LUCIANO E, VECCHIATO W. Copula methods in finance［M］. Chichester,UK: John Wiley & Sons, 2004: 154-160.
［27］刘金山, 夏强. 基于MCMC算法的贝叶斯统计方法［M］. 北京：科学出版社, 2015：4-24.
LIU J S, XIA Q. Bayesian statistical method based on MCMC algorithm［M］. Beijing: Science Press, 2015: 4-24. (in Chinese)
［28］ TANNER D M, DUGGER M T. Wear mechanisms in a reliability methodology［J］.Proceedings of SPIE: Reliability, Testing, and Characterization of MEMS/MOEMS II, 2003,4980: 22-40.

第41卷第7期2020 年7月
兵工学报ACTA ARMAMENTARII
Vol.41No.7Jul.2020

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