ZG230-450铸钢的疲劳可靠性设计Goodman-Smith图

ZG2302450Goodman2SmithXFATIGUERELIABILITYDESIGNGOODMAN2SMITHDIAGRAMFORTHEZG2302450CASTSTEELXX12(1.,610031)(2.(),161002)HUANGShiYao1ZHAOYongXiang1HUHaiBing2(1.StateKeyLaboratoryofTractionPower,SouthwestJiaotongUniversity,Chengdu610031,China)(2.QiqihaerRollingStock(Group)Co.Ltd,Qiqihaer161002,China)ZG2302450Goodman2Smith,SN,ZG2302450Goodman2SmithZG2302450Goodman2SmithU270.41U260.331.1TH122O346.2AbstractThedrawingmethodofGoodman2SmithdiagramoftheZG2302450wheelcaststeelisinvestigatedforthefatiguereli2abilitydesignandanalysisofrailwayvehiclewheel.Thestructuralfatiguelifeunitinthediagramisgivenintermsofcyclesormileageoftenthousandkilometers.ThefatiguestrengthisevaluatedbytheprobabilisticfatigueSNcurvescoveringthemid2and2shortandlongliferegimes.Thetransitionpointcoordinatesanddesigncriteriaofthediagramaredeterminedinthefullprobabilisticsense.TheGoodman2SmithdiagramofZG2302450caststeelatarbitrarygivenreliabilitylevelduringmid2shortandlongfatigueliferegimescanbeobtainedbythepresentmethod.KeywordsRailwayvehicle;Wheel;ZG2302450caststeel;Fatigue;Reliabilitydesign;Goodman2SmithdiagramCorrespondingauthor:HUANGShiYao,E2mail:[e-mail],Tel:[phone],Fax:[phone]TheprojectsupportedpartiallybytheNaturalScienceFoundationofChina(No.50375130),aFoundationfortheAuthorofNationalExcellentDoctoralDissertationofChina(No.2002034),theEducationProgramforNewCenturyExcellentTalentsinUniversity(No.NCET040890),andtheRailwayDepartmentScienceandTechnologyDevelopmentProject(No.2004J013,2005J034).Manuscriptreceived20060421,inrevisedfrom20060802.1Goodman2Smith,,JISE42071992(UIC)OREB12PRP17(),N-1=107cycle,11,Goodman[1],(p)0.95()95%,,Goodman2Smith[2]628,[2]6,,,N-1=107cycle,Á915mm2.87km,Á840mm2.64km,23JournalofMechanicalStrength2008,30(1):1172121XXX,,198212,,,20060421,20060802(50375130)(200234)(NCET040890)(2004J013,2005J034)©1994-2008ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=107cycle,10,,,Goodman2Smith,,cycle;,cycle,,,Goodman2Smith,cycle[2]10211ZG2302450Goodman2Smith2Goodman2SmithSN[2]7281)ZG2302450bsbavsav543.00MPa322.00MPa[3]70272;,,MonteCarloCd=0.0219,ns8,bsbrmssrms11.9017MPa7.0577MPa,bsbpspbp-=1-Zp+t1-(ns-1)Cdbav(1)sp-=1-Zp+t1-(ns-1)Cdsav(2),Zpp;t1-(ns-1)ns-11-t2)ZG2302450N-1=107cycle-1av207.00MPa,p0.95%95%-1p-192.00MPa[3]70272,,MonteCarlo,ns10emax0.50MPa,8202.47MPa198.97MPa208.70MPa210.59MPa203.21MPa208.52MPa207.50MPa212.24MPa,-1av206.52MPa-1rms4.5266MPa,emax0.4772MPa-1p-=-1av-Zp+t1-(ns-1)-1rms(3)3)SN[3]70272ZG23024504235.00MPa265.00MPa304.00MPa373.00MPap0.95%95%BasquinSN,p0.95%95%SNlgNav=29.7810-9.9621lga(4)lgNp-=27.7111-9.2183lga(5)2p0.95%95%,MonteCarlo,,ns155%,444SN11ZG2302450SNTab.1ReconstructedSNdataforZG2302450caststeelaPMPaNPcyclens235.002029749,1578995,1307536,1454382,910418,1614451,1475193,1711918,1261325,1613985,136165811265.00587486,471787,400122,439101,291667,481026,444584,506294,387744,480905,41455011304.00142454,118633,103397,111735,79424,120568,112898,125830,100721,120543,10649811373.0017256,15170,13770,14543,11436,15344,14650,15812,13518,15341,1406011[4],SNlgNp-=Aav-Zp+t(1-)P2(ns-1)Arms+BavZp+t(1-)P2(ns-1)Brmslga(6),AavBavArmsBrmsSN;ns;Zpp,t1-(ns-1)ns-11-tAp-=Aav-Zp+t(1-)P2(ns-1)Arms(7)Bp-=Bav-Zp+t(1-)P2(ns-1)Brms(8)lgNp-=Ap-+Bp-lga(9)144SN,ZG2302450SNAavBavArmsBrmsns29.7810-9.96211182008©1994-2008ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(1)ABCDEFGHA8,,23,,-1NN,ytp-ycp-,ytp-=ycp-=sp-,ycp-ytp-=sp-,ZG2302450ytp-=ycp-=sp-1Goodman2Smith[2]829Fig.1DrawingprincipleoffatigueGoodman2Smithdiagram[2]8292Goodman2Smith[2]9Tab.2TransitionpointcoordinatorsoftheGoodman2Smithdiagram[2]9TurningpointAveragestressmStressamplitudeaA0-1Np-Bytp---1Np-bp---1Np-bp-ytp-Cytp-ytp-Dytp---1Np-bp---1Np-bp-(bp-+-1Np-)ytp--2bp--1Np-bp---1Np-E0--1Np-F-1Np--ycp--ycp-G-ycp--ycp-H-1Np--ycp-2-1Np--ycp-4Goodman2SmithGoodman2Smithcycle107cycleZG2302450bavsav-1avbrmssrms-1rmsns543.00MPa322.00MPa207.00MPa11.9017MPa7.0577MPa4.5266MPa8MPa,2(1)(3)(9),4p=0.99=95%Goodman2Smith,2;3(1)(3)(9),p=0.99=95%53Goodman2Smith[2]10Tab.3AssessmentbasisoftheGoodman2Smithdiagram[2]10RegionEffectiverangeAveragestressconditionamax-2mycp--ycp-m-1Np--ycp-bmax-m-1Np--1Np--ycp-m0cmax-1--1Np-bp-m-1Np-0mytp---1Np-1--1Np-Pbp-dmaxytp-ytp---1Np-1--1Np-mytp-4ZG2302450Goodman2SmithTab.4TransitionpointcoordinatorsoftheconventionalGoodman2SmithdiagramofZG2302450caststeelTurningpointmPMPamaxminPMPaA0219.54B197.10341.50C341.50341.50D197.1052.71E0-219.54F-121.96-97.57G-341.50-341.50H-121.9697.575ZG2302450Goodman2SmithTab.5AssessmentbasisoftheconventionalGoodman2SmithdiagramRegionEffectiverangeConditionamax-2m341.50-341.50m-121.96bmax-m219.54-121.96m0cmax-0.6188m219.540m197.10dmax341.50197.10m341.505Goodman2Smith5.1SNSN,,SN,SN301:ZG2302450Goodman2Smith119©1994-2008ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[5]SN[6]2m-1[7],[3]10211,,1055108cyc