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MODERNMECHANICALENGINEERING,2013,3,6976HTTP/DXDOIORG/104236/MME201332010PUBLISHEDONLINEMAY2013HTTP/WWWSCIRPORG/JOURNAL/MMETHESTUDYOFCONTACTPRESSUREANALYSESANDPREDICTIONOFDYNAMICFATIGUELIFEFORLINEARGUIDEWAYSSYSTEMTHINLINHORNGDEPARTMENTOFMECHANICALENGINEERING,KUNSHANUNIVERSITY,TAINAN,CHINESETAIPEIEMAILHORTLMAILKSUEDUTWRECEIVEDAPRIL2,2013REVISEDAPRIL30,2013ACCEPTEDMAY12,2013COPYRIGHT2013THINLINHORNGTHISISANOPENACCESSARTICLEDISTRIBUTEDUNDERTHECREATIVECOMMONSATTRIBUTIONLICENSE,WHICHPERMITSUNRESTRICTEDUSE,DISTRIBUTION,ANDREPRODUCTIONINANYMEDIUM,PROVIDEDTHEORIGINALWORKISPROPERLYCITEDABSTRACTTHEAPPLICATIONOFTHELINEARGUIDEWAYSISVERYEXTENSIVE,SUCHASAUTOMATIONEQUIPMENT,HEAVYDUTYCARRYEQUIPMENT,HEAVYCUTMACHININGTOOL,CNCGRINDINGMACHINE,LARGESCALEPLANNINGMACHINEANDMACHININGCENTERWITHTHEDEMANDOFHIGHRIGIDITYANDHEAVYLOADBYMEANSOFTHESTUDYOFCONTACTBEHAVIORBETWEENTHEROLLER/GUIDEWAYANDROLLER/SLIDER,ROLLERTYPELINEARGUIDEWAYSCANIMPROVETHEMACHININGACCURACYTHEGOALOFTHISPAPERISTOCONSTRUCTTHEFATIGUELIFEMODELOFTHELINEARGUIDEWAY,WITHTHEHELPOFTHECONTACTMECHANICSOFROLLERSINBEGINNING,THEANALYSESOFTHERIGIDITYOFASINGLEROLLERCOMPRESSEDBETWEENGUIDEWAYANDSLIDERWASCONDUCTEDTHEN,THENORMALCONTACTPRESSUREOFLINEARGUIDEWAYSWASOBTAINEDBYUSINGTHESUPERPOSITIONMETHOD,ANDVERIFIEDBYTHEFEMSOFTWAREANSYSWORKBENCHFINALLY,THEBEARINGLIFETHEORYPROPOSEDBYLUNDBERGANDPALMGRENWASUSEDTODESCRIBETHECONTACTFATIGUELIFEKEYWORDSLINEARROLLERGUIDEWAYSSYSTEMANALYSISSYSTEMSTRESSANALYSESPREDICTIONOFFATIGUELIFE1INTRODUCTIONTHELINEARGUIDEWAYTYPELGTRECIRCULATINGROLLERSSHOWNINFIGURE1HASMANYADVANTAGESCOMPAREDTOBALLGUIDEWAYS1ANDCONVENTIONALSLIDINGGUIDES,SUCHASFLATWAYSANDVWAYS2FORINSTANCE,THEULTIMATELOADINGOFTHEROLLERGUIDEWAYCANBELARGERTHANTHATOFABALLGUIDEWAY,MAKINGTHELUBRICATIONMOREEFFICIENTSOTHATTHEABRASIONOFLINEARMOTIONROLLERBEARINGSISLESSTHANTHATOFSLIDINGGUIDESLINEARMOTIONROLLERBEARINGSALSOHAVENOSTICKSLIPLINEARMOTIONROLLERGUIDEWAYSAREWIDELYUSEDINSTEADOFBALLGUIDEWAYSANDSLIDINGGUIDESINHEAVYCNCMACHININGCENTERS,GRINDINGMACHINES,PRECISIONHEAVYDUTYXYTABLES,ANDTFTLCDTRANSPORTSYSTEMS3INRECENTYEARS,THESPEEDOFMACHINESUSINGLINEARMOTIONROLLINGBEARINGSHASINCREASEDKASAIETAL4,5FOUNDTHATCARRIAGESOFPRELOADEDRECIRCULATINGLINEARROLLERBEARINGSWEREMOVEDPERIODICALLYWITHTHEROLLERPASSINGFREQUENCYDUETOROLLERCIRCULATIONYEETAL6CARRIEDOUTAMODALANALYSISFORCARRIAGESOFLINEARGUIDEWAYTYPELGTRECIRCULATINGLINEARROLLERBEARINGSUNDERSTATIONARYCONDITIONSANDPOINTEDOUTTHEEXISTENCEOFTHERIGIDBODYNATURALVIBRATIONSOFTHECARRIAGESCHNEIDER7DEVELOPEDATHEORYFORTHENATURALVIBRATIONSOFANLGTRECIRCULATINGLINEARBALLBEARINGWITHA45DEGREECONTACTANGLETHESTUDYOFPREDICTIONOFDYNAMICFATIGUELIFEFORLINEARGUIDEWAYSSYSTEM,ISNOTDEVELOPEDINTHEMENTIONEDSTUDIESHORNG810DEMONSTRATEDSTIFFNESSEQUATIONANDSTRESSCOMPONENTSFORTHECIRCULARLYCROWNEDROLLERCOMPRESSEDBETWEENTWOPLATESMOREOVER,BASEDONTHEPREVIOUSRESULTS,HORNG11,12DEVELOPEDSTIFFNESSEXPRESSION,SYSTEMSTRESSDISTRIBUTIONANDVIBRATIONBEHAVIORFORTHELINEARGUIDEWAYTYPERECIRCULATINGROLLERSINPRACTICE,THEFATIGUELIFEOFROLLERSCOMPOSEDINGUIDEWAYSPLAYSAKEYROLEINTHESTUDYOFWORKINGLIFEOFLINEARGUIDEWAYSBASICALLY,TWOKINDSOFCONTACTFATIGUEMODELSHAVEBEENDEVELOPEDOVERTHEPASTHALFCENTURY,IE,CRACKINITIATIONMODELANDCRACKPROPAGATIONMODELBEFORE1980,ALMOSTALLCONTACTFATIGUEMODELSHADBEENDEVELOPEDBYASSUMINGTHEFATIGUELIFEWASDOMINATEDBYCRACKINITIATIONFIGURE1CONFIGURATIONOFALINEARGUIDEWAYTYPELGTRECIRCULATINGROLLERBEARING1COPYRIGHT2013SCIRESMMETLHORNG70THEMOSTFAMOUSMODELWASTHELUNDBERGPALMGRENMODEL13THESECONDKINDOFMODELSISDEVELOPEDBYASSUMINGTHEFATIGUELIFEWASDOMINATEDBYCRACKPROPAGATIONMOSTCRACKPROPAGATIONMODELSFOLLOWAPARISLAW14,WHICHWASDEVELOPEDFROMTESTSOFSTRUCTURALMATERIALSTHEREPRESENTEDMODELSARETHEKEERBRYANTMODEL15ANDTHETALLIANMODEL16INCONTACTFATIGUELIFECALCULATIONS,DIFFERENTCRITICALSTRESSESHAVEBEENUSEDFOREXAMPLE,LUNDBERGANDPALMGRENUSEDMAXIMUMORTHOGONALSHEARSTRESSINTHEIRMODELSOMERESEARCHERSFOUNDCRACKSINITIATEDATTHEDEPTHWHEREMAXIMUMSHEARSTRESSOCCURS,WHICHPROMPTEDTHEMTOUSEMAXIMUMSHEARSTRESSTOCALCULATETHEFATIGUELIFE17POPINCEANU18RECOMMENDEDTHEUSEOFVONMISESEQUIVALENTSTRESSASTHECRITICALSTRESSZHOU19USEDOCTAHEDRALSHEARSTRESSTODEVELOPHISNEWCONTACTFATIGUEMODELCHENG20FOUNDTHATTHEFATIGUELIFEOFROLLERBEARINGSUNDERTHEPUREROLLINGCONDITIONCANBEPREDICTEDBYSIMPLYKNOWINGTHEHERTZIANCONTACTPRESSUREANDTHECONTACTWIDTH,WHICHAVOIDSCOMPLICATEDCALCULATIONOFTHESUBSURFACESTRESSESPREVIOUSMODELSDERIVEDFROMHERTIZANCONTACTMECHANICSTHEORYIGNOREDTHEROLEPLAYEDBYTHERELIABILITYOFPRECIOUSCALCULATIONINCONTACTDEFORMATIONANDSTRESSESHOWEVER,PALMGRENDIDNOTHAVECONFIDENCEINTHEABILITYOFTHEHERTZIANEQUATIONSTOACCURATELYPREDICTROLLINGBEARINGSTRESSESPALMGRENSTATES,“THECALCULATIONOFDEFORMATIONANDSTRESSESUPONCONTACTBETWEENTHECURVEDSURFACESISBASEDONANUMBEROFSIMPLIFYINGSTIPULATIONSWHICHWILLNOTYIELDVERYACCURATEAPPROXIMATIONVALUESFORLINECONTACTTHELIMITOFVALIDITYOFTHETHEORYISEXCEEDEDWHENEVEREDGEPRESSUREOCCURS”INOTHERWORDS,TOCALCULATEDEFORMATIONANDSTRESSESACCURATELY,ESPECIALLYEDGESTRESSOCCURRED,ITISESSENTIALTOTHEPREDICTIONOFFATIGUEINPRACTICE,THEREALEXPERIMENTALTESTSFORTHEGUIDEWAYWERECONDUCTEDTOVALID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