为准确掌握产品性能退化规律,合理安排维护与视情修理组合的维修活动,根据维护条件下产品的性能退化过程,利用累积失效理论,分析产品的性能退化特点.建立基于复合泊松过程的产品性能退化模型,并对水泵转子的失效规律进行了拟合,验证了模型的有效性.建立了定期维护与视情修理组合的维修活动概率模型,给出了失效风险的解析表达式.以长期运行条件下产品费用率为目标,失效风险为约束,确定了组合维修策略优化模型.通过对平台惯性导航系统进行数值分析,优化结果能够有效地延长工作时间,实时控制失效概率,使产品具备较高的安全等级,避免失效带来的不利影响,降低了维修费用.
Abstract
In order to understand the deterioration law of product performance and rationally arrange the maintenance actions. According to the deterioration process, the performance deterioration characteristics of product on servicing are analyzed by cumulating failure theory. The deterioration model is established based on compound Poisson process, and the example of water pump rotor is introduced to illustrate the feasibility and validity of model. The propability model of maintenance actions which combines servicing with condition-based repair is estabilished, and the analytical expression of failure risk is given. Finally, the optimization model of combined maintenance strategy is proposed with an objective to minimize the long-run average cost rate and a constraint on failure risk. The platform inertial navigation system is taken as numerical example. The results demonstrate it can prolong the operational time, control the failure probability, guarantee high safety grade and decrease the maintenance cost.
关键词
维修策略 /
性能退化 /
概率模型 /
复合Poisson过程 /
优化求解
{{custom_keyword}} /
Key words
maintenance strategy /
performance deterioration /
probability model /
compound Poisson process /
optimization
{{custom_keyword}} /
中图分类号:
E911
TJ761.1
{{custom_clc.code}}
({{custom_clc.text}})
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Flage R, Coit D W, Luxhoj J T, et al. Safety constraints applied to an adaptive Bayesian condition-based maintenance optimization model[J]. Reliability Engineering & System Safety, 2012, 102:16-26.
[2] 廖雯竹. 基于设备衰退机制的预知性维护策略及生产排程集成研究[D]. 上海:上海交通大学, 2011.Liao W Z. Research of predictive maintenance policy and integrated production scheduling model based on machine degradation[D]. Shanghai:Shanghai Jiao Tong University, 2011.
[3] 胡瑾秋, 张来斌. 基于故障超前防御的复杂油气生产设备机会维护模型[J]. 机械工程学报, 2013, 49(12):167-175.Hu J Q, Zhang L B. Opportunistic maintenance strategy for complex oil and gas production equipment based on fault preventive defense[J]. Journal of Mechanical Engineering, 2013, 49(12):167-175.
[4] Ahmadi R, Newby M. Maintenance scheduling of a manufacturing system subject to deterioration[J]. Reliability Engineering & System Safety, 2011, 96(10):1411-1420.
[5] Mustapha N, Eric C, Nabil N. Joint redundancy and imperfect preventive maintenance optimization for series-parallel multi-state degraded systems[J]. Reliability Engineering & System Safety, 2012, 103:61-60.
[6] Mercier S, Pham H 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.
[7] 成国庆, 李玲, 唐应辉. 多态退化串联可修系统的最优维修更换策略[J]. 系统工程理论与实践, 2012, 32(5):1118-1123.Cheng G Q, Li L, Tang Y H. Optimal replacement policy for a deteriorating series repairable system with multi-state[J]. Systems Engineering-Theory & Practice, 2012, 32(5):1118-1123.
[8] SheyHuei S, Suh Huey L, Chin Chih C. A generalized maintenance policy with age-dependent minimal repair cost for a system subject to shocks under periodic overhaul[J]. International Journal of Systems Science, 2012, 43(6):1007-1013.
[9] Li D W, Zhang Z H, Zhong Q H, et al. Performance deterioration modeling and optimal preventive maintenance strategy under scheduled servicing subject to mission time[J]. Chinese Journal of Aeronautics, 2014, 27(4):821-828.
[10] Wang H Z. A survey of maintenance policies of deteriorating systems[J]. European Journal of Operational Research, 2002, 139(3):469-489.
[11] 刘强. 基于失效物理的性能可靠性技术及应用研究[D]. 长沙:国防科技大学, 2011.Liu Q. Research on the performance reliability technology and the application based on physics of failure[D]. Changsha:National University of Defense Technology, 2011.
[12] 彭宝华. 基于Wiener过程的可靠性建模方法研究[D]. 长沙:国防科学技术大学, 2010.Peng B H. Research on reliability modeling methods based on wiener process[D]. Changsha:National University of Defense Technology, 2010.
[13] Oliveira M D D, Colosim E A, Gilardoni G L. Bayesian inference for power law processes with applications in repairable systems[J]. Journal of Statistical Planning & Inference, 2012, 142(5):1151-1160.
[14] Cha J H, Lee E Y. An extended stochastic failure model for a system subject to random shocks[J]. Operations Research Letters, 2010, 38(5):468-473.
[15] Silva J E, Garbatov Y, Soares C G. Reliability assessment of a steel plate subjected to distributed and localized corrosion wastage[J]. Engineering Structures, 2014, 59:13-20.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
基金
国防十三五预研项目(41404050502);军委科技委国防科技项目基金(2101140)
{{custom_fund}}