27120101JournalofHighwayandTransportationResearchandDevelopmentVol27No1Jan2010:10020268(2010)01005404:20090301:(200631800019):(1977-),,,,,(hnhyzhb@163com)CortenDolan朱红兵1,2,余志武1,蒋丽忠1(1,410075;2,430070):MinerCortenDolan,,,SNSN,3,,,,:;;CortenDolan;;:TU973254:ACalculationMethodofEquivalentFatigueStressRangeBasedonCortenDolanAccumulativeDamageRuleZHUHongbing1,2,YUZhiwu1,JIANGLizhong1(1SchoolofCivilandArchitecture,CentralSouthUniversity,ChangshaHunan410075,China;2SchoolofUrbanConstruction,WuhanUniversityofScienceandTechnology,WuhanHubei430070,China)Abstract:Accordingtodamagingdegreeequivalentprincipleofmultilevelamplitudeloadorrandomamplitudeload,thecalculationformulaofequivalentfatiguestressamplituderangewasderivedbyusinglinearMineraccumulativedamageruleandCortenDolanaccumulativedamageruleThemethodofapplyingtheformulatofatiguedetailorfatiguelifeevaluationswasintroducedByutilizingtheSNcurveandSNequationfromRCbeamsfatigueexperiment,theformulaandthemethodwereverifiedbasedontherandomamplitudefatigueexperimentresultof3RCbeamsItisindicatedthatthecalculationresultoftheformulaisofhigherprecisionanditapproachestheexperimentalresultthoughitispartialsecurityTheformulaisconvenienceandsuitableforengineeringapplicationKeywords:bridgeengineering;equivalentfatiguestressrange;CortenDolanaccumulativedamagerule;reinforcementconcretebeam;randomload0,,,,[1][2-4],,(),,,,Miner[5-7],,CortenDolan[8],,1,MinerMiner[8]CortenDolanManson[9]Miner,,,CortenDolan,,,11Miner:,,,:D=ki=1Di=ki=1niNi=1,(1),D;nii;Nii12CortenDolanMiner,CortenDolan2:NNl=1ki=1iild,(2),N;l;Nll;ii;ii;d,221(2)CortenDolan:Nki=1iid=Nldl,(3):D=Nki=1idiNldl=1,(4)j(1!j!kj)Nj,:Dj=NjdjNldl=njdjNldl,(5),njjMiner,:DR=ki=1niNcf=meini10k,(6),e;m;Ncfe,SN,:iniNcf=inidiNldl=menni10k(7)(7):me=(nidi)∀10kiniNldl,(8):e=i(nidi)∀10kiniNldl1m(9),,(9):e=i(niMdi)∀10kiniNlMdl1m(10)(9)(10)CortenDolan551,:CortenDolan22(9)(10),e,SN,331[6],(9)(10)SN(1)SN:lgN=155948-39114lg(11)1HRB400SN[6]Fig1SNcurveofHRB400barinconcrete3,12,121[6]Fig2Numberofcyclesoffatigueloadingsateachfatigueloadinginterval1[6]Tab1Testresultofrandomfatigueexperiment/RF1174RF2392RF3149d,:2dlhf=08770,drf1=22360,drf2=31575,drf3=317203285523231,m=39114,k=155948d,,d1dlhf=08770drf1=22360dfr2=31575drf3=31720,d=3164753d=28552(10),e,1SN,,22(10)Tab2Calculatedfatiguelivesbyusingformula(10)/(10)/d=316475d=28552Miner/RF117417381608582RF2392253235563RF3149111*1031*538:*Mmax=065MuNf=34,SN,,SNNf=50332,(10)d=316475,RF1RF2RF39989%6454%7450%;Miner,RF1RF2RF333448%14362%36107%,,Miner,,,(10),,,(),,4,,,5627,,SN(),,(10)mkd,SN,d,,:References:[1][M]:,2006SONGYupuFatigueBehaviorandDesignPrincipleofConcreteStructures[M]Beijing:ChinaMachinePress,2006[2]AASHTODesignCodeforAmericanHighwayBridge[S]Washington,DC:AmericanAssociationofStateHighwayandTransportationOfficials,1995[3]TB1000222005[S]:,2005PRChinaMinistryofRailwayTB1000222005SteelStructureDesignCodeforRailroadBridge[S]Beijing:ChinaRailwayPublishingHouse,2005[4]BritishStandardsInstitutionBS54001980Steel,ConcreteandCompositeBridges[S]London:BritishStandardsInstitution,1982[5],[J],2007,20(1):79-84RENWeiping,LIXiaozhenFatigueLoadofWeldedConnectionsbetweenRailacrossBeamsandIntegralJointsofCombinedSteelTrussBridges[J]ChinaJournalofHighwayandTransport,2007,20(1):79-84[6],,[J],2006,39(9):32-38FENGXiufeng,SONGYupu,ZHUMeichunAnExperimentalStudyontheFatigueLifeofPrestressedConcreteBeamsunderRandomamplitudeFatigueLoading[J]ChinaCivilEngineeringJournal,2006,39(9):32-38[7],,,HPFL[J],2009,26(6):74-78SHANGShouping,LIUWei,GAOFaqi,etalExperimentalResearchonFatigueBehavorofReinforcedConcreteBeamsStrengthenedwithHPFLunderOverloadingCondition[J]JournalofHighwayandTransportationResearchandDevelopment,2009,26(6):74-78[8][M]:,2002CHENChuanyaoFatigueandFracture[M]Wuhan:HuazhongUniversityofScienceandTechnologyPress,2002[9],,[J],1994,27(3):33-40WUPeigang,ZHAOGuangyi,BAILimingCompressiveFatiguePerformanceResearchonHighPerformanceConcrete[J]ChinaCivilEngineeringJournal,1994,27(3):33-40[10][M]:,2008XIONGJunjiangFatigueandFractureReliabilityEngineering[M]Beijing:NationalDefenseIndustryPress,2008[11],,ANSYST[J],2004,21(6):69-73WUWei,WENGYang,LVJianmingStudyonSimulationofTshapedBeamandHollowSlabBridgebyANSYS[J]JournalofHighwayandTransportationResearchandDevelopment,2004,21(6):69-73[12],,,[J],2006,23(2):102-105ZHANGLifang,GUOTao,WUWenqing,etalAnalysisoftheInfluenceofConnectingMethodonOldBridgePerformanceinWideningBridge[J]JournalofHighwayandTransportationResearchandDevelopment,2006,23(2):102-105[13],,[J]:,2009,25(1):111-115JIANGShaofei,WANGPeng,WUZhaoqiFiniteElementAnalysisonFatigueBehaviorofSteelConcreteCompositeBeams[J]JournalofShenyangJianzhuUniversity:NaturalScienceEdition,2009,25(1):111-115[14],,[J]:,2008,31(11):1843-1847LIANGXingpei,CHENChangbing,YANGBoyuanDynamicAnalysisoftheSquarePlansifterandLifePeriodAssessmentbyFiniteElementMethod[J]JournalofHefeiUniversityofTechnology,2008,31(11):1843-1847571,:CortenDolan