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1、TECHNICA1.REPORTISO/TR1281-1editionSecond2021-05Ro1.1.ingbearingsExp1.anatorynotesonISO281一Piqdynamic1.oadratingandbasicrating1.ifeRou1.ementsNotesexp1.icativesurISO281Partie1:Chargesdynamiquesdebaseetdur6enomina1.edebaseReferencenumberISO/TR1281-1.:2021(E)COPYRIGHTPROTECTEDDOCUMENTISO2021岫rkdea/山th
2、UcdOthcnviscjftc三orrtmcehDVBiwixuioiti08phnn11UatiocBhrhotocp)Mng,ptbcatonpostingontheinternetoranintranet,withoutpriorwrittenpermission.PermissioncanherequestedfromeitherISOattheaddressbe1.owOr1.sOXSmemberbodyinthecountryoftherequester.%,tft晒Iandonnet8CH-1214*crnicr,GenevaPhone：M1.22749O1.11Pub1.is
3、hedinSwitzerhndContentsForewordivItroductionScopeNormativereferences_._TermsanddefinitionsSymbo1.sGenera1.Basicdynamic1.oadrating6.16.2Genera1.44Basicdynamicradia1.1.oadrating.Cr,forradia1.ba1.1.bearings.-ffi3dcdyii1.tausatia1.1.oabnp!Ttfi1trta(1.otft(Ktba1.1.bearings96.3.2 Thrustba1.1.bearingswithc
4、ontactang1.ea=90c9Basicdynamicaxia1.1.oadrating,Q,forthrustba1.1.bearingswithtwoormorerowsOfhaUsdynamicradia1.1.oadrating.Cr9forradia1.ro1.1.erbearings1013139I“”.三*”*-“-.“-*-*-Basicdynamicaxia1.1.oadrating.Ciforsing1.erowthrustro1.1.erbearings6.6.1 Thrustro1.1.erbearingswithcontacta90o一6.799&dy翻RSF蝴
5、回通P6&的百出怖群瞌齐演Withnvoormore13rowsOfIao1.1.eInS-.*.RiVfS(vcekdHprapbrifigbodyIihicrttad6tandrijktf0tartedtaIcommitteehasbeenestab1.ishedhastherighttoberepresentedonthatcommittee.Internationa1.organizations,governmenta1.andnon-governmenta1.,in1.iaisonwithISO,a1.sotakepartinthework.ISOco1.1.aboratesc1.o
6、se1.ywiththee1.ectrotechnica1.standardization.Internationa1.E1.ectrotechnica1.Commission(IEC)ona1.1.mattersofTheproceduresusedtodeve1.opthisdocumentandthoseintendedforitsfurthermaintenanceare蜘硼槛OfISoIEC(三te帆掖帆产%cordancetheeditoria1.ru1.esoftheISO/IECDirectives.Part2(secwww.iso.org/direc1.ives).Mionr
7、igbtsd战丽n施腻飒脚SnSi曲?麻吸咻胸般眈doc映棉频湖H%subjectofanypatentrightsidentifiedduringthedeve1.opmerUW4iouwMM41.beintheIntroductionand/orontheISO1.istofpatentdec1.arationsreceived(seewww.iso.org/pa1.ents).Anytradeusedinthisconstitutenameendorsement.documentisinformationgivenfortheconvenienceofusersanddoesnotFor
8、anexp1.anationofthevo1.untarynatureofstandards,themeaningofISOspecifictermsandPXPTTTTnnTTTmTrPnTnzatoncoiso/foreword.hun1.赫福P奥盛腌和he喂煽商辆需带tion曲雇P干浮到瞬滕思幅Thisratingsand1.ife1.oaddocumentwas.preparedbyTechnica1.Committee1SOTC4,Ro1.1.inffbearings.SubcommitteeSC8,Thissecondeditioncance1.sandrep1.acestheTe
9、chnica1.Corrigendum1(ISOTR1281-1:2008/Cor1:2009)andthefirstedition(ISOTR1281-1:2008),whichhasbeentechnica1.1.yrevised.Themainchangescomparedtothepreriouseditionareasfo1.1.ows:s岫g&k1.M8RKT1.ftAJX(f产Sof缶6T1.Ry1.281或D的行ocEiW2008hasbeende1.eted,thisThederivationoftheo1.dFormu1.ae(29)and(46)Formu1.ae(28)
10、and(45)inthiseditionhasbeencorrected.TypingerrorshavebeencorrectedinFormu1.ae(30)and(31)andinthederivationofthefactor丫3.A1.istofa1.1.partsintheISO/TR1281seriescanbefoundOntheISowebsite.Ap1.ete1.istingofthesebodiescanbefoundatvrww.iso.orgmembers.htm1.IntroductionISO/R281:1962IoadNationa1.Standardizin
11、gbearingsAssociationsp1.ace(ISA).WhenISAConfCrCnCC1.aStInternationa1.Federationofstandards.basicdefinitions1.oadcontained(nowessencebasicdynamic281：2007ratingtheconceptsdiscussionstheinitiativeofandAnti-FrictionStandardsManufacturersAssociation(AFBMA),NewYork,basis,bearings.bodyforSwedenpresented,in
12、February1950,afirstproposa1.toISO,1.oadratingofmodifiedproposa1.ro1.1.erbearingba1.1.bearingsstandards,asproposa1.memberbodyro1.1.erbearings.submttedaservingasamajorbasisforthesectionsregardingro1.1.erbearingrating.-49ISO281-1:1977andsubmittedaproposa1.startedrevisionwork.materia1.c1.auseoperatingco
13、nditions.withadjustmentofrating1.ifeforre1.iabi1.ityotherthan90%andforexpressionsandfactorsgiveninISO281-1:1977waspub1.ishedasISO/TR8646:1985.-49!SO281:1990norma1.1.yusedtechnica1.manufacturing281-1:1977.va1.uenewIatingvarieswithcontemporary.ISO281:2007(secondedition)contamination,materia1.,1.ubrica
14、tion,interna1.stresses281：1990/Amd.2:2000,stressesgenera1.hardening,presented1.oadinf1.uenceonbearing1.ifeOf1.ubricationconditions,contaminated1.ubricantandfatigue1.oadofbearingISO2021-A1.1.rightsreceivedAfirstdiscussiononaninternationa1.1.eve1.Ofthequestionofstandardizingca1.cu1.ationmethodsforther
15、atingsofro1.1.ingtookatthe1934he1.ditsoftheconference1939,progresjhadbeenmade.However,inits1945reportonthestateofro1.1.ingbearingstandardization,theISA4Secretariatinc1.udedproposa1.sfordefinitionofconceptsfundamenta1.to1.oadratingand1.ifeca1.cu1.ation*1.ifeMThedynamicitrating0areindividedIntothosegi
16、venISOradiaI1.oadfor*,and*basicdynamicaxia1.1.oadrating).In1946rof1.oadratingthe1.ifeCaIcuIationBearingstartedbetweenindustriesintheUSAandSweden.Chief1.yonthebasisoftheresu1.tsappearinginReference5JranAFBMAstandard.Methodofeva1.uating1.oadratingsOfannu1.arba1.1.bearinfs31.wasworkedoutandpub1.ishedin
17、1949.Onthesameba1.1.thememberInviewoftheresu1.tsofbothfurtherresearchandamodificationtotheAFBMAstandardin1950,aswe1.1.asinterestinforratingofratingwe1.1.ina1.951,theforratingofforSweden1.oadratingand1.ifeca1.cu1.ationmethodswerethenstudied.Reference6wasthenofconsiderab1.euse.In1964rinviewofthedeve1.
18、opmentofimprovedbearingstee1.srthetimehadcometoreviewISOR281In1969,ontheotherhand,TC4fo1.1.owedasuggestionbythememberbodyforJapanandreconstituteditsWG3,givingitthetaskofrevisingIS0R281.TheAFBMA1.oadratingworkinggrouphadatthistimeThemajorpartofISO281-1:1977constitutedare-pub1.icationof1SOR281.thesubs
19、tanceofwhichhadbeenon1.yVerys1.ight1.ymodified.However,basedmain1.yonAmericaninvestigationsduringthe1960srnewandwasadded,dea1.ingFurthermore,supp1.ementarybackgroundinformationregardingthederivationofmathematica1.ISO281:1990waspub1.ishedasFirsteditionandentit1.edDynamic1.oadratingsandrating1.ife.Iti
20、sreferredtoasthemateria1.andrevision*ofISOqua1.ityrtheTheofwhichfactorbnforbearinganddesign*wastheintroductionasaco-va1.uetothebasicdynamic1.oadratings.Sincethepub1.icationofISO281:1990additiona1.know1.edgeregardingtheinf1.uenceonbearing1.ifeof1.imitofthehasbeengained,inISOfrommounting,afrommethodwa
21、sfatiguetoconsidersuchinf1.uencesintheca1.cu1.ationofamodifiedrating1.ifeofabearing.ThesaidAmendmentwasincorporatedintothesecondedition,whicha1.soprovidesapractica1.methodtoconsiderthe9a5fJ.TiHeMty.modificationfactorsforre1.iabi1.ity,havebeens1.ight1.yadjustedandextendedtoRo1.1.ingbearingsExp1.anato
22、rynotesonISO281一piqdynamic1.oadratingandbasicrating1.ife1ScopeThisdocumentspecifiessupp1.ementarybackgroundinformationregardingthederivationof2JiiwrmativeexjKrfereijcestactorsgiveninISO281:2007.琳1部睡啊帆耐Mhisr电6tt闻entW三6dInref国为阳蜘eedibna1.1.4p1.ies翩entundatedreferences,the1.atesteditionofthereferencedd
23、ocument(inc1.udinganyamendments)app1.ies.Forthepurposesofthisdocument,thetermsanddefinitionsgiveninISO281:2007app1.y.ISOandIECmaintaintermino1.ogica1.databasesforuseinstandardizationatthefo1.1.owingaddresses：ISOOn1.inebrowsingp1.atform：avai1.ab。athttps:WWWjsoQFgobpIECE1.ectropedia:avai1.ab1.eathttp:
24、/www.e1.ectropedia.org/4Symbo1.sAconstantOfproportiona1.ityAconstantofproportiona1.itydeterminedexperimenta1.1.yBIconstantofproportiona1.itydeterminedexperimenta1.1.yCibasicdynamicradia1.1.oadratingofarotatingringCibasicdynamicradia1.1.oadratingofastationaryringCabasicdynamicaxia1.1.oadratingfort1.r
25、ustba1.1.orro1.1.erbearingCaibasicdynamicaxia1.1.oadratingoftherotatingringofanentirethrustba1.1.orro1.1.erbearingC2basicdynamicaxia1.1.oadratingofthestationaryringofanentirethrustba1.1.orro1.1.erbearingCa*basicdynamicaxia1.1.oadratingasarowkofanentirethrustba1.1.orro1.1.erbearingCaikbasicdynamicaxi
26、a1.1.oadratingasarowkoftherotatingringofthrustba1.1.orro1.1.erbearingCaZkbasicdynamicaxia1.1.oadratingasarowkofthestationaryringofthrustba1.1.orro1.1.erbearingISO2021-A1.1.rightsreservedCcbasicdynamic1.oadratingforouterringabasicdynamic1.oadratingforinnerringCrbasicdynamicradia1.1.oadratingforradia1
27、.ba1.1.orro1.1.erbearingDpwpitchdiameterofba1.1.orro1.1.ersetDwba1.1.diameterDWemeanro1.1.erdiameterEomodifiedmodu1.usofe1.asticityF3axia1.1.oadFrradia1.1.oad/1factorre1.atingmeanequiva1.ent1.oadonarotatingringtoQnaX/2hifactorre1.atingmeanequiva1.ent1.oadonastationaryringtoQmaXaxia1.1.oadintegra1.ra
28、dia1.1.oadintegra1.bearing1.ifeIaobasicrating1.ife1.wc1.Nwekeffectivecontact1.engthofro1.1.er1.wcperrowknumberofstressapp1.icationstoapointontheracewayPadynamicequiva1.entaxia1.1.oadforth11stbearingPrdynamicequiva1.entradia1.1.oadforradia1.bearingPr1.dynamicequiva1.entradia1.1.oadfortherotatingring(
29、dynamicequiva1.entradia1.1.oadforthestationaryringnorma1.forcebetweenaro1.1.inge1.ementandtheracewaysQCIro1.1.inge1.ement1.oadforthebasicdynamic1.oadratingOfthebearing或2ro1.1.inge1.ement1.oadforthebasicdynamic1.oadratingofaringrotatingre1.ativetotheapp1.ied1.oadro1.1.inge1.ement1.oadforthebasicdynam
30、ic1.oadratingofaringstationaryre1.ativetotheapp1.ied1.oadQmnXVmaximumro1.1.inge1.ement1.oadprobabi1.ityofsurviva1.,re1.iabi1.ityvo1.umerepresentativeofthestressconcentration?rotationfactor2radia1.1.oadfactorforradia1.bearingISO2021-A1.1.rightsreserved-34rZkbCccZoaradia1.1.oadfactorforthrustbearingva
31、riouscomponentsarenade,geometrymateria1.bearingcomponents,theaccuracytowhichtheDwvcosDpwforro1.1.erbearingswithat90Introducingthenotation-102i2)2forpointand1.ineCOntaCtrespective1.y.Pri/1(0,5)ZCOS(r(0,5)Pr2/2(0,5)ZC。SUr(O,5)05JJCiCSerVed)+%t心)=j+U(1CoS1.)11d”If,I1.=()=j1.(-31.j2=()=1.(5j1.1.M()=j1.9
32、4=(1.4,Pr.U/11.c/21FaCO1.(HC1.(0,5)JC2J2(0,5)tJJIJa(52)0,56250,69250,64950,75770,6044O.724)17(50)IfPnandPr2arethedynamicequiva1.entradia1.1.oadsfortherespectiverings,thenwithradia1.disp1.acementoftherings(X=0,5)Qci=;Qc2=(51)wheretheva1.uesofJi(0,5)2(0,5)andJr(0,5)aregiveninTab1.e3._”_JPmP)Cr)C1.)C1.
33、)isobtainedPr_=/WMMC牌WFrCiO51.-(C05,22whereCisthebasicdynamicradia1.1.oadrating;isthebasicdynamicradia1.1.oadratingofarotatingring;C2isthebasicdynamicradia1.1.oadratingofastationaryring；isequa1.tope,wherepistheexponenton1.ifeformu1.aandeistheWeibu1.1.s1.ope.-FaHe=VahresrfQuantity(0,5)JMo,5),川0,5Poin
34、tcontact),72(0,S)andw1.inecontactPointand1.inecontactJJJJ2(0.5)0.587S0,72330.67440,78670,62950,7543Tab1.e3(continued)QuantityPo1.ntconuct1.inecontactPointand1.inecontact/JJh/1JJa，5）*5）胪）W10392180472u,a1,6Z51,7141.6691.oadrating埠Pr=F=一/40.5)co1.(=，Fpointcontac(=PCOtaA(0,5)JaFUnC暨tact)(53)Forradia1.di
35、sp1.acementofthebearingrings(=0,5)andfixedouterring1.oad(CI=GbaniGdynamicinnerring；Cz=Ct.basicdynamic1.oadratingforouterring)fromFormu1.a(52)isfoundforpointand1.inecontactrespective1.y.FOrP产0,5p1.tt44ixedinnerring1.oad(Ci=VtCe1.Cz=CVf),isfound(S4)whereVfistherotationfactor.ThefactorVtvariesbetween10
36、,044and10,038forpointand1.inecontactrespective1.y,inISO281:2007,therotationfactorVthasbeende1.eted.NOTETheva1.ueof1,2forthea1.igningba1.1.hearings,assafetyfactor.rotat1.onfactorVfsvasgiveninISOR281forradia1.hearings,exceptsdf-Foraxia1.di1.ayentofthebearingrings(=)andfixedouterring1.oad(Ci=QCz=Ce),(5
37、5)c/0,5)Thefactor(CCe)VariesJetween1and1./Vt=(0,5)z(0,5)-1.niXQducingasagoodapproximationthegeometricnV相e1/fVbetweenthesetwova1.ues(seeTab1.e3),Y(0.5)/2(0,5)C1.axia1.1.oadFrradia1.1.oadR1.dynamicequiva1.entradia1.1.oadforthe1.oadedrowconsideredasasing1.erowbearingnomina1.contactang1.eFigure 2 -Dynam
38、icequiva1.entradia1.qgq猊区作据1.c,doub1.erowradia1.bearingswithconstant7.1.3Theoretica1.dynamicequiva1.entradia1.1.oad,Pr,forradia1.contactgrooveba1.1.bearingsFigure 3 isapp1.icab1.etoradia1.contactgrooveba1.1.bearings.ThecurveAChasbeendeterminedfromFormu1.a(52)andtheapproximatc1.for11u1.aFah/41.s11.1.
39、1.-2c1.1-4(65)andgivesthefur4e*aU4UonshipbetweenPrandFcota,Prwherea,isthecontactang1.ei.e.=8and=1.(66)(/bi二三)Gbasicdynamicradia1.1.oadratingofarotatingringCzbasicdynamicradia1.1.oadratingofastationaryringfaaxia1.1.oadFrradia1.1.oad出dynamicequiva1.entradia1.1.oadforradia1.bearingcontactang1.eca1.cu1.
40、atedfromFormu1.a(66)Figure 3 Dynamicequiva1.entradia1.1.oad,Pr,forradia1.contactgrooveba1.1.bearings7.1.4ConsianprwtfiMt。即1.%ssionsfordynamicequiva1.entradia1.IoadrPr9forradia1.bearingswithFromapractica1.standpoint,itispreferab1.etorep1.acethetheoretica1.curvesinFigure1andFigure2bybroken1.inesAiBCforsing1.erowbearingsandABCfordoub1.erowbearings,asinFigure4,AACIf1.i1.tSBinterceptof1.ineBConabscissa(xoordinateofpointC)interceptof1.ineABonordinate-coordinateofpointA)axia1.1.oadFrniii1.Pndyna
