基于载荷共享的并联可修复系统可靠性评估  

Reliability evaluation of parallel repairable systems based on load-sharing

作　　者：赵维涛[1] 贾路兵 ZHAO Weitao;JIA Lubing(College of Aerospace Engineering,Shenyang Aerospace University,Shenyang 110136,China)

机构地区：[1]沈阳航空航天大学航空宇航学院,沈阳110136

出　　处：《沈阳航空航天大学学报》2023年第6期1-7,共7页Journal of Shenyang Aerospace University

基　　金：国家自然科学基金(项目编号:12272240)。

摘　　要：在航空航天等要求高可靠性的系统中,通常采用并联形式来提高系统的可靠性。当并联系统中某个元件失效后,由于负载重新分配,导致剩余正常元件的工作环境劣化。针对这一问题,建立基于载荷共享的并联可修复系统可靠性评估模型既适用于元件故障率相同又适用于元件故障率不同的并联可修复系统。当载荷共享因子取值为1时,该模型可退化为传统马尔可夫模型。算例结果表明,文中方法和传统方法求得的系统瞬态可用度变化趋势相同;相比传统方法的评估结果,当考虑载荷共享时系统的稳态可用度减小幅度不大,而平均故障间隔时间(mean time between failure,MTBF)将大幅减小。因此,利用传统马尔可夫模型给出的MTBF来衡量系统可靠性以及确定维修间隔需慎重。In systems such as aerospace with high-reliability requirements,parallel forms were often used in engineering to improve system reliability.When a component in the parallel system fails,the working environment of the remaining normal components deteriorates due to the load redistribution.In order to solve this problem,a reliability evaluation model of the parallel repairable system based on load-sharing was established.The model was suitable for parallel repairable systems with the same and different component failure rates.When the load-sharing factor was one,the model will be degenerated into the traditional Markov model.The numerical results show that the variation trend of transient availability obtained by the proposed and traditional method is same.Compared to the results evaluated by traditional methods,the reduction in steady-state availability of the system is not huge when considering load-sharing,while the MTBF will decrease significantly.Therefore,it should be cautious to use MTBF obtained by the traditional Markov model to measure system reliability and determine maintenance intervals.

关 键 词：可靠性评估 并联系统 马尔可夫 载荷共享 可用度 平均故障间隔时间 

分 类 号：O213.2[理学—概率论与数理统计]