基于指数分布第K次序统计量试验寿命可靠性评估方法
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摘要
针对航空发动机部分元器件或系统的可靠性评估和可靠性试验设计问题,推导了寿命服从指数分布时基于任意第k次序统计量的试验寿命可靠性评估理论公式,并给出了置信度为90%、95%时基于第k次序统计量的可靠寿命试验设计系数表。结果表明:采用该方法可确定给定可靠度、设计寿命、破坏数及子样数时的最短试验时间,或者给定设计寿命、可靠度、置信度、子样数及试验时间时最大允许故障数。综合考虑试验件数量及试验时间,可对寿命可靠性试验进行成本优化设计。
The theoretical formula of reliability assessment of test life based on arbitrary kth order statistics was derived when the life obeyed exponential distribution for the reliability assessment and reliability test design of some components or systems of aeroengine. The design coefficient table of reliability life test based on kth order statistics was given when the confidence level was 90% and 95%. The results show that the shortest test time for given reliability,design life,failure number and subsample number,or the maximum allowable fault number for given design life,reliability,confidence,subsample number and test time can be determined by using this method.Considering the number of test pieces and test time synthetically,the cost optimization design of life reliability test can be carried out.
The theoretical formula of reliability assessment of test life based on arbitrary kth order statistics was derived when the life obeyed exponential distribution for the reliability assessment and reliability test design of some components or systems of aeroengine. The design coefficient table of reliability life test based on kth order statistics was given when the confidence level was 90% and 95%. The results show that the shortest test time for given reliability,design life,failure number and subsample number,or the maximum allowable fault number for given design life,reliability,confidence,subsample number and test time can be determined by using this method.Considering the number of test pieces and test time synthetically,the cost optimization design of life reliability test can be carried out.
引文
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[15]赵选民,徐伟,师义民,等.数理统计[M].第2版.北京:科学出版社,2002:10-12.ZHAO Xuanmin,XU Wei,SHI Yimin,et al. Mathematical statistics[M]. 2nd ed. Beijing:Science Press,2002:10-12.(in Chinese)
[2]陆山,杨剑秋.基于小子样最差和最好试验结果的寿命分散系数法[J].机械科学与技术,2006,25(1):99-101.LU Shan,YANG Jianqiu. Life scatter factor method based on the worst and the best experiment results of small samples[J].Mechanical Science and Technology,2006,25(1):99-101.(in Chinese)
[3]龚梦贤,古远兴,王旅生.某型发动机I级涡轮盘的技术寿命[J].燃气涡轮试验与研究,2000,13(4):22-26.GONG Mengxian,GU Yuanxing,WANG Lyusheng,et al. Service life of an aeroengine’1st stage turbine disk[J].Gas Turbine Experiment and Research,2000,13(4):22-26.(in Chinese)
[4]贺小帆,刘文珽.服从不同分布的疲劳寿命分散系数分析[J].北京航空航天大学学报,2002,28(1):47-49.HE Xiaofan,LIU Wenting.On scatter factors of fatigue life obeying distributions[J].Journal of Beijing University of Aeronautics and Astronautics,2002,28(1):47-49.(in Chinese)
[5]杨俊,王建,祈圣英.疲劳寿命分散系数的确定与应用研究[J].航空发动机,2015,41(1):16-21.YANG Jun,WANG Jian,QI Shengying. Determination and application of fatigue scatter factors[J]. Aeroengine,2015,41(1):16-21.(in Chinese)
[6]王东艺,彭正华,詹洪飞.航空发动机初始放飞寿命应用研究[J].航空发动机,2014,40(3):90-94.WANG Domgyi,PENG Zhenghua,ZHAN Hongfei. Research on application of aeroengine initial flight life[J]. Aeroengine,2014,40(3):90-94.(in Chinese)
[7]甘晓华,李伟.现役航空发动机使用寿命确定和控制方法[J].航空工程进展,2000,1(2):103-106.GAN Xiaohua,LI Wei. A summary of military aeroengine life determination methods[J].Advances in Aeronautical Science and Engineering,2000,1(2):103-106.(in Chinese)
[8]王博,刘媛,洪其麟,等.对军用航空发动机可靠性参数体系选择和指标确定的探讨[J].燃气涡轮试验与研究,2003,16(2):38-42.WANG Bo,LIU Yuan,HONG Qilin,et al. Discussion on the selection of reliability parameter system and targets for military aeroengines[J].Gas Turbine Experiment and Research,2003,16(2):38-42.(in Chinese)
[9]徐可君,江龙平.军用航空发动机可靠性和寿命管理[J].中国工程科学,2003,5(1):82-88.XU Kejun,JIANG Longping. Reliability and life management on aeroengine used in Army[J].Engineering Science,2003,5(1):82-88.(in Chinese)
[10]王通北,陈美英.谈航空发动机工作可靠性的几个问题[J].航空发动机,2005,31(1):1-5.WANG Tongbei,CHEN Meiying. Some issues on aeroengine operational reliability[J]. Aeroengine,2005,31(1):1-5.(in Chinese)
[11] DEF.STAN 00-971 General specification for aircraft gas turbine engine[S]. UK:Ministry of Defense,1987:A-5.
[12]卢小艳,陆山.基于对数正态分布第k试验寿命的分散系数法[J].航空动力学报,2006,21(4):738-740.LU Xiaoyan,LU Shan. Life scatter factor method based on the kth order experimental life with logarithm normal distribution[J]. Journal of Aerospace Power,2006,21(4):738-740.(in Chinese)
[13] JSGS-87231A Joint services guide specification[S]. USA:United States Air Force,1995:69.
[14]陆山,吕鸿雁.小子样零构件可靠寿命零故障试验评估方法[J].机械强度,2006,28(3):411-414.LU Shan,LYU Hongyan. Assessment method of reliable life by zero failure experiments of small sample components[J].Journal of Mechanical Strength,2006,28(3):411-414.(in Chinese)
[15]赵选民,徐伟,师义民,等.数理统计[M].第2版.北京:科学出版社,2002:10-12.ZHAO Xuanmin,XU Wei,SHI Yimin,et al. Mathematical statistics[M]. 2nd ed. Beijing:Science Press,2002:10-12.(in Chinese)