机械系统相关性可靠度计算Copula新理论_唐家银.pdfVIP

DOI :10.13433 /j .cnk i .1003 -8728 .2009.04.008 2009 4 April 2009 2 8 4 MechanicalScienceandTechnologyforAerospaceEngineering Vo.l28 No.4 Copula 1, 2 2 1 2 唐家银 , 赵永翔, 何　平 , 宋冬利 1 2 ( , 　6 10031;, 　6 1003 1) 　:从零件失效相关结构角度, 提出机械系统相关性可靠度 算研究的新理论方法。既给出了 系统可靠度静态和动态的 Copula算模型, 该模型用多重差分运算替代了传统可靠度 算的多重 积分运算, 简化了 算;同时, 又解决了相关性强弱程度的确定问题,保证了精度。 Copula理论验证 了可靠度随相关参数动态变化的界限连续性, 并给出相关程度参数的估 方法。 最后, 通过车辆抗 侧滚刚度系统的实例 算, 说明该理论方法的可行性 有效性。 　　:机械系统;Copul;a相关性;可靠度 算;相关程度 :TB114.3　　　:A　　　:1003-8728 (2009 )04 -0532 -04 CopulasNewTheoryforReliability CalculationInvolvingCorrelationinMechanicalSystems 1, 2 2 1 2 TangJiayin, ZhaoYongxiang, HePing, SongDongli 1 (CollegeofMathematic,sSouthwestJiaotongUniversity, Chengdu61003 1; 2 StateKeyLaboratoryofTractionPowe,rSouthwestJiaotongUniversity, Chengdu6 100 31) Abstrac:tForthecorrelationstructureexistedinthefailuremodesofcomponent,swepresentanewtheoretical methodforreliabilitycalculationinvolvingcorrelationinmechanicalsystem.sThestaticanddynamiccalculation modelsbasedonCopulatheoryweregiven.Sincemultipleintegralissubstitutedbymultipledifferenc,e thecalcu- lationissmiplifiedgreatly.Theproblemofdeterminingthecorrelationdegreewassolvedsuccessfully, thusthepre- cisionwasensured.Inaddition, theCopulatheoryverifiedthedynamicboundarycontinuityofreliabilityassociated withcorrelationparamete,randtheestmiationmethodfortheparameterofcorrelationdegreewasgiven.Finally, a practicalcasestudyofanalyzingthevehicleanti-rollingstiffnesssystemdemonstratesthefeasibilityandeffec