相结合的服役桥梁维修加固风险决策

215Vol.21No.5200410ENGINEERINGMECHANICSOct.20042003-01-052003-03-10(0101)*(1976)(E-mail:[e-mail])(1941)(1924)(1971)1000-4750(2004)05-0005-06*1112(1.116023;2.110005)35U445.7ARISK-RANKINGDECISIONOFREPAIRANDSTRENGTHENINGOFEXISTINGBRIDGESBASEDONTIME-DEPENDENTRELIABILITYANDECONOMICALOPTIMIZATION*SUNXiao-yan1,HUANGCheng-kui1,ZHAOGuo-fan1,CHENYu-xin2(1.StateKeyLaboratoryofCoastalandOffshoreEngineering,DalianUniversityofTechnology,Dalian116023,China;2.LiaoningDatongHighwayEngineeringLimitedCompany,Shenyang110005,China)Abstract:Theissueofsafetyandeconomyshouldbeconsideredintherepairingandstrengtheningofexistingbridges.Thestrategyonrepairandstrengtheningofexistingbridgesbasedontime-dependentreliabilityhasbeenanalyzedwiththemaximumexpectedbenefitortheminimumexpectedcostoffailureconsequenceastheobjectivefunction.Apracticalapplicationofrisk-rankingdecisionisillustratedhereinbasedonupdatedinspectioninformationwiththebridgesurvivalage35.Theeffectsofimprovementofliveloadanddifferenceofrepairmethodsontime-dependentreliabilityofexistingbridgesarestudied.Thedecisionmethodcanbeusedinrealproject,withthecostoffailureconsequenceandtheriskoffailureconsidered.Ithascertainreferencevalueintherepairandstrengtheningdecisionofexistingbridges.Keywords:existingbridge;repairandstrengthening;time-dependentreliability;economicaloptimization;risk-rankingdecision61---[1]22.1[2]],[},0)({)(srTtttZPtPt∈≥=(1))()()(tStRtZ-=(2)ttsT100)(tZtt)(tRtt)(tStt1[3]Fig.1Timevariableprocessesofbridgeresistanceandtheeffectofmechanicalload)()(0tRtRj=[4,5]0Rt=0)(tj)(tRmiRiRi⎥⎥⎦⎤⎢⎢⎣⎡--=∑=miiTTRmR1)exp(1ln1aa(3)Ta(sT,0)QTS8R0R⎥⎥⎦⎤⎢⎢⎣⎡--=∑=miRiTTRtm1))(exp(1ln10mjaam(4)00011])(exp[])(exp[)(RmiRiTmiRiTiRtttsmjamjajs∑∑==--=(5)2.272.2.1[6]1[7]502828[8][9]1Table1Timevariablemechanismofreinforcedconcretestructureresistance2.2.2[10]202352Fig.2Time-dependentreliabilityofsinglebridgegirder2.33[11]3Fig.3Theinfluenceofrepairandstrengtheningontime-dependentreliabilityofbridges383.1tdt[2])(tht)(tZt)(1)},0(,0)()d,(,0)({)},0(,0)({)},0(,0)()d,(,0)({)},0(,0)()d,(,0)({d)(tptssZtttssZPtssZPtssZtttssZPtssZtttssZPtthf-∈∩+∈=∈∈∩+∈=∈+∈=(6)(0,t+dt))},0(,0)()d,(,0)({)()}d,(,0)(),0(,0)({)d(tssZtttssZPtptttssZtssZPttpff∈∩+∈+=+∈∪∈=+)()d()},0(,0)()d,(,0)({tpttptssZtttssZPff-+=∈∩+∈(7)(7)(6)ttptpttpttptpthfffffd)(d)(11d)()d()(11)(-=-+-=(8)3.24a)0CINSCRESCb)Ic)S4Fig.4Decisiontreeofrepairandstrengthening5I5Fig.5Theinfluenceofdifferentrepairmethodsontime-dependentreliabilityRESttttttINStttttttttttCrCthrSthrIEii-+-+--+=∑∑=---=00000)()()()1()]()1())(1()1([(9)tIt)(thttrt9tStINSCRESC⎪⎪⎩⎪⎪⎨⎧≤≥≥RESmRESmtCCEEbb0s.t.max(10)tbmbRESmC3.3(1)(2)(3)(4)tItS(5)RESCRESmC(6)tb)(th(7)435200278680.75/mb0.850b(0b[12])32002(1)(98)(2)(237)(3)(594)67010203040506070012345676Fig.6Theinfluenceofdifferentrepairmethodsontime-dependentreliability01020304050607010-810-710-610-510-410-310-210-17Fig.7Theinfluenceofdifferentrepairmethodsoncumulative-timefailureprobabilityofgirder828Fig.8Engineeringplanandcorrespondingexpectedbenefit105(1)(2)(3)[1].[M].:,1996.283-294.ZhaoGuofan.Reliabilitytheoryanditsapplicationsforengineeringstructures[M].Dalian:DalianUniversityofTechnologyPress,1996.283-294.(inChinese)[2],,.[J].,2002,15(3):49-52.YangWeijun,ZhangJianren,LiangXingwen.Strategyofrepairandreinforcementonexistingbridgesbasedontime-dependentreliability[J].ChinaJournalofHighwayandTransport,2002,15(3):49-52.(inChinese)[3],,.[M].:,2000.123-128.ZhaoGuofan,JinWeiliang,GongJinxin.Structuralreliabilitytheory[M].Beijing:ChinaArchitecture&BuildingPress,2000.123-128.(inChinese)[4],.[J].,1994,27(2):47-55.LiTian,LiuXila.Durabilitydesignofconcretestructures[J].ChinaCivilEngineeringJournal,1994,27(2):47-55.(inChinese)[5]YMori,BREllingwood.Maintainingreliabilityofconcretestructures.I.Roleofinspection/repair[J].JouralofStructuralEngineering,1993,120(3):824-845.[6],.[M].:,2001.136-138.LiGuiqing,LiQusheng.Timedependentreliabilitytheoryanditsapplicationsinengineeringstructures[M].Beijing:SciencePress,2001.136-138.(inChinese)[7],.[J].,1995,25(6):36-38.NiuDitao,WangQinglin.Modelsofconcretestrengthchangingwithtimeingeneralairenvironment[J].IndustrialBuildings,1995,25(6):36-38.(inChinese)[8]AllamIM,MaslehuddiaM,SaricimenH,Al-manaAI.Influenceofatmosphericcorrosiononthemechanicalpropertiesofreinforcingsteel[J].Constr.AndBuild.Mat.,1994,8(1):35-41.[9]DimitriVVal,RobertE.MelchersreliabilityofdeterioratingRCslabbridges[J].Struct.Engrg.,ASCE,1997,123(12):1638-1644.[10],,,.[M].:,1997.LiYanghai,BaoWeigang,GuoXiuwu,ChengXiangyun.Structuralreliabilityandprobabilitylimitdesignofhighwaybridges[M].Beijing:People’sCommunicationsPublishingHouse,1997.(inChinese)[11].[D].:,2001.ZhaoShangchuan.Reliability-basedassessmentandtestresearchofdurabilityofreinforcedconcretestructures[D].Dalian:Ph.D.DissertationofDalianUniversityofTechnology,2001.(inChinese)[12]GB50292-1999.[S].,1999.GB50292-1999.Appraisalstandardofreliabilityofcivilbuildings[S].Beijing:ChinaArchitecture&BuildingPress,1999.(inChinese)基于动态可靠度和经济优化相结合的服役桥梁维修加固风险决策作者：孙晓燕，黄承逵，赵国藩，陈宇新作者单位：孙晓燕,黄承逵,