簡(jiǎn)介:COMPUTERAIDEDENGINEERINGPARAMETRICMODELINGOFBALLSCREWSPINDLESADADALAUMMOTTAHEDIKGROHAVERLRECEIVED15APRIL2010/ACCEPTED13AUGUST2010/PUBLISHEDONLINE25AUGUST2010?GERMANACADEMICSOCIETYFORPRODUCTIONENGINEERINGWGP2010ABSTRACTINTHEPRODUCTDEVELOPMENTPROCESSNUMERICALOPTIMIZATIONCANSUCCESSFULLYBEAPPLIEDINTHEEARLYPRODUCTDESIGNSTAGESINTHEVERYCOMMONCASEOFBALLSCREWDRIVES,THEDYNAMICALBEHAVIORISMOSTDEPENDINGONTHEGEOMETRICALSHAPEOFTHEBALLSCREWITSELFPROPERTIESLIKEAXIALANDTORSIONALSTIFFNESS,MOMENTOFINERTIA,MAXIMUMVELOCITYANDACCELERATIONAREDETERMINEDNOTONLYBYTHESERVOMOTORBUTALSOBYSCREWDIAMETER,SLOPEANDBALLGROOVERADIUSFURTHERMORECOUPLINGEFFECTSBETWEENTHEDESIGNVARIABLESMAKETHEOPTIMIZATIONTASKEVENMOREDIFFICULTINORDERTOCAPTURETHESEEFFECTS,EFFICIENTNUMERICALUSUALLYFEMORMBSMODELSARENEEDEDINTHISWORKANEWMOREACCURATEANDEFFICIENTMETHODOFCOMPUTINGTHEAXIALANDTORSIONALSTIFFNESSOFBALLSCREWSPINDLESISPRESENTEDWEANALYTICALLYDERIVEPARAMETRICEQUATIONSWHICHDEPICTSMOSTOFTHEDEPENDENCIESOFSTIFFNESSONGEOMETRICALPARAMETERSOFTHESCREWFURTHERMORE,WEENHANCETHEANALYTICALMODELWITHANIDENTIFIEDFUNCTION,WHICHINCREASETHEACCURACYEVENMORETHEPRESENTEDANALYTICALMODELISVALIDATEDAGAINSTFEMMODELANDCATALOGDATAWITHTHEHELPOFNUMEROUSEXAMPLESKEYWORDSBALLSCREW?SPINDLE?STIFFNESS?FEM?ANALYTICMODEL1INTRODUCTIONTHEAXIALANDTORSIONALSTIFFNESSOFBALLSCREWSPINDLESPLAYSANIMPORTANTROLEINTHEDYNAMICBEHAVIOROFBALLSCREWDRIVES,SINCEITESSENTIALLYDETERMINETHEFIRSTANDSECONDEIGENVALUESOFBALLSCREWDRIVESWHENMODELINGBALLSCREWDRIVESWITHFEMTHETHREADISUSUALLYIGNOREDANDSOMEMEANDIAMETERISUSEDTOMODELASIMPLIFIEDBALLSCREWTHEREFOREITISCRUCIALTOHAVEKNOWLEDGEABOUTTHEBESTAPPROXIMATINGMEANDIAMETERMOSTOFTHEPREVIOUSWORKONMODELINGANDSIMULATINGSTIFFNESSOFBALLSCREWDRIVESCONCENTRATEONMODELINGTHEASSEMBLYBETWEENBALLSCREWNUTANDBALLSCREWSPINDLE,WHICHIMPLIESHIGHACCURACYMODELINGOFCONTACT,1,2IN3JAROSCHCOMPARESTHEORETICALSTIFFNESSOFDIFFERENTTYPESOFBALLSCREWS,BUTTHESPINDLEISTAKENINTOACCOUNTSIMPLIFIEDASANCYLINDERWITHDIAMETEREQUALTOTHESPINDLEOUTERDIAMETER,THUSIGNORINGTHESTIFFNESSWEAKENINGDUETOSPINDLETHREADWITHKNOWLEDGEABOUTTHEREALAXIALKUZANDTORSIONALKUZSTIFFNESSOFASCREWOFUNITLENGTH,AMEANDIAMETERCANBECOMPUTEDWITHTHEHELPOFDMUZ?FFIFFIFFIFFIFFIFFIFFIFFI4KUZPERD1TANDDMUZ?FFIFFIFFIFFIFFIFFIFFIFFIFFIFFIFFI32KUZPG4RD2TRESPECTIVELY,EYOUNG’SMODULUSANDGSHEARMODULUSTHEMEANDIAMETERISALWAYSLESSTHANTHESPINDLEOUTERDIAMETERFOREACHSTIFFNESSWEGETTWODIFFERENTMEANDIAMETERSITDEPENDSONEACHAPPLICATIONWHICHMEANDIAMETERISTHEBESTTOCHOOSEALINEARCOMBINATIONOFTHETWODIAMETERSCOULDALSOBEDONEINGENERALBALLSCREWMANUFACTURERSPROVIDEDATAFORAXIALSTIFFNESSBUTNOTFORADADALAU?MMOTTAHEDI?KGROH?AVERLINSTITUTEFORCONTROLENGINEERINGOFMACHINETOOLSANDMANUFACTURINGUNITSISW,STUTTGART,GERMANYEMAILALEXANDRUDADALAUISWUNISTUTTGARTDEURLHTTP//WWWISWUNISTUTTGARTDE123PRODENGRESDEVEL20104625–631DOI101007/S117400100264Z4ANALYTICALMODELOFBALLSCREWSINOURAPPROACHWEINTENDTODERIVEANANALYTICALMODELOFTHEBALLSCREWDRIVE,CAPABLEOFCAPTURINGTHEWEAKENINGEFFECTOFTHETHREADHAVINGANACCURATEANALYTICALMETHODTOCOMPUTETHESTIFFNESSOFBALLSCREWSALSOHAVEAPRACTICALAPPLICATIONINOPTIMIZATION,WHEREEFFICIENTPARAMETERMODELSAREPREFERREDINSTEADOFFINITETABLE1DIFFERENTSPINDELGEOMETRIESANDCORRESPONDINGSTIFFNESSDIN,CATALOG,FEMNOMINALD0MMSPINDLEPITCHPHMMBALLDWMMSPINDLED1MMSPINDLECORED2MMNUMBEROFTHREADSAXIALSTIFFNESSDINISO34084N/LMAXIALSTIFFNESSCATALOGN/LMDEVIATIONCATALOGVERSUSDINAXIALSTIFFNESSFEMN/LMDEVIATIONFEMVERSUSDINDEVIATIONFEMVERSUSCATALOGTORSIONALSTIFFNESSFEMNM/RAD16010080060531487150265482110235769126020080060532487150265481810836369238010080080731911690127904907305424224802012008073184359066993391071377263158025158875631780080256715083310621578612020120011710812051021023920087206435120837120502000114991184821802611823913113310328812010020001149921848218026118209148116104159160503000150129131769320073299395766442761610160100300015012923176932007329875596664277781116016030001501292317693200733158905712831546122005030001901691527215300535037244549677149132001003000190169152721530053536621791258799714200200350019316745065652026548887349599741711520040035001901644506565202655071001124881912162505030002402191863328600388333134831020914017250100300024021918633286003887569143182231821182502503500240214483684840038805933694062008671932050350031028411437781440015138334379393570685203201003969310279114056614100311400350380685995982132020039693102792140566141003113987005008060105222320320396931027941405661410031137205239269580785234005035003903641232249232001122537229628615068682440010060003803381210882211000620148944545112343882540012060003803381210882211000620467329430012826622640016060003803382210882211000619802661061511799872740020060003803382210882211000620126845646112372832840040060003803384210882211000620083247748212463252950050350049046413725253730013364081227239391436230500100600048043813453273450009333323348338334620931500120600048043813453273450009337559225216344975032500160600048043823453273450009328901476467322786933500200650048043423400123400000326939384384322431534500250650048043423400123400000332081233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下載積分: 10 賞幣
上傳時(shí)間:2024-03-14
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簡(jiǎn)介:第1頁(yè)共22頁(yè)中文中文3300字,字,2200單詞,單詞,10800英文字符英文字符出處出處DADALAUA,MOTTAHEDIM,GROHK,ETALPARAMETRICMODELINGOFBALLSCREWSPINDLESJPRODUCTIONENGINEERING,2010,46625631PARAMETRICMODELINGOFBALLSCREWSPINDLESADADALAUMMOTTAHEDIKGROHAVERLABSTRACTINTHEPRODUCTDEVELOPMENTPROCESSNUMERICALOPTIMIZATIONCANSUCCESSFULLYBEAPPLIEDINTHEEARLYPRODUCTDESIGNSTAGESINTHEVERYCOMMONCASEOFBALLSCREWDRIVES,THEDYNAMICALBEHAVIORISMOSTDEPENDINGONTHEGEOMETRICALSHAPEOFTHEBALLSCREWITSELFPROPERTIESLIKEAXIALANDTORSIONALSTIFFNESS,MOMENTOFINERTIA,MAXIMUMVELOCITYANDACCELERATIONAREDETERMINEDNOTONLYBYTHESERVOMOTORBUTALSOBYSCREWDIAMETER,SLOPEANDBALLGROOVERADIUSFURTHERMORECOUPLINGEFFECTSBETWEENTHEDESIGNVARIABLESMAKETHEOPTIMIZATIONTASKEVENMOREDIFFICULTINORDERTOCAPTURETHESEEFFECTS,EFFICIENTNUMERICALUSUALLYFEMORMBSMODELSARENEEDEDINTHISWORK,ANEWMOREACCURATEANDEFFICIENTMETHODOFCOMPUTINGTHEAXIALANDTORSIONALSTIFFNESSOFBALLSCREWSPINDLESISPRESENTEDWEANALYTICALLYDERIVEPARAMETRICEQUATIONSWHICHDEPICTSMOSTOFTHEDEPENDENCIESOFSTIFFNESSONGEOMETRICALPARAMETERSOFTHESCREWFURTHERMORE,WEENHANCETHEANALYTICALMODELWITHANIDENTIFIEDFUNCTION,WHICHINCREASETHEACCURACYEVENMORETHEPRESENTEDANALYTICALMODELISVALIDATEDAGAINSTFEMMODELANDCATALOGDATAWITHTHEHELPOFNUMEROUSEXAMPLES1INTRODUCTIONTHEAXIALANDTORSIONALSTIFFNESSOFBALLSCREWSPINDLESPLAYSANIMPORTANTROLEINTHEDYNAMICBEHAVIOROFBALLSCREWDRIVES,SINCEITESSENTIALLYDETERMINETHEFIRSTANDSECONDEIGENVALUESOFBALLSCREWDRIVESWHENMODELINGBALLSCREWDRIVESWITHFEMTHETHREADISUSUALLYIGNOREDANDSOMEMEANDIAMETERISUSEDTOMODELASIMPLIFIEDBALLSCREWTHEREFOREITISCRUCIALTOHAVEKNOWLEDGEABOUTTHEBESTAPPROXIMATINGMEANDIAMETERMOSTOFTHEPREVIOUSWORKONMODELINGANDSIMULATINGSTIFFNESSOFBALLSCREWDRIVESCONCENTRATEONMODELINGTHEASSEMBLYBETWEENBALLSCREWNUTANDBALLSCREWSPINDLE,WHICHIMPLIESHIGHACCURACYMODELINGOFCONTACTINJAROSCHCOMPARESTHEORETICALSTIFFNESSOFDIFFERENTTYPESOFBALLSCREWS,BUTTHESPINDLEISTAKENINTOACCOUNTSIMPLIFIEDASANCYLINDERWITHDIAMETEREQUALTOTHESPINDLEOUTERDIAMETER,THUSIGNORINGTHESTIFFNESSWEAKENINGDUETOSPINDLETHREADWITHKNOWLEDGEABOUTTHEREALAXIAL第3頁(yè)共22頁(yè)ACCURACYWEDIVIDETHEBALLSCREWINACORECYLINDER09D2ANDTHREADEDCYLINDERTHEMATERIALISMODELEDASLINEAR,ELASTICANDISOTROPICWITHANYOUNG’SMODULUS2MN210109E?ANDAPOISSONRATIOV03FIG1MODELINGOFBALLSCREWSPINDLESWITHANSYSINORDERTOCOMPUTETHEAXIALANDTORSIONALSTIFFNESSOFTHEBALLSCREW,WENEEDTOAPPLYANAXIALFORCEANDATORSIONALMOMENTTOONEBALLSCREWENDINTWODIFFERENTSTATICALLYLOADSTEPSTHEOTHERENDOFTHEBALLSCREWHASTOBECONSTRAINEDINTHESAMEDIRECTIONSINORDERTOPREVENTRIGIDBODYMOTIONATTHESAMETIMEBOTHENDAREASOFTHEBALLSCREWSHOULDBEABLETOFREELYEXPANDORCONTRACTINRADIALDIRECTIONWEAPPLYTHESECONSTRAINTSANDFORCESWITHTHEHELPOFSURFACEBASEDCONSTRAINTSONTWOSINGLEPILOTNODESTARGE170THECONSTRAINTSANDFORCESOFTHEPILOTNODESAREDISTRIBUTEDTOTHEENDAREASOFTHEBALLSCREWTHROUGHCONTACTNODESCONTA174ONLYINAXIALANDTANGENTIALDIRECTION,SEEFIG23COMPARISONWITHCATALOGDATAINORDERTOVALIDATEOURMODELWEGENERATED40DIFFERENTMODELSOFBOSCHREXROTHSCREWSPINDLESTHESIMULATIONRESULTSOFTHEAXIALSTIFFNESSCANBECOMPAREDWITHCATALOGDATAWHICHISPROVIDEDBYBOSCHREXROTHASAREFERENCEFORTHECOMPARISONWEUSETHEANALYTICALEQUATIONFORAXIALSTIFFNESS,WHICHCANBEFOUNDINDINISO34084,FORUNITYLENGTHSPINDLE????4COS20??WUZDDEK??3
下載積分: 10 賞幣
上傳時(shí)間:2024-03-12
頁(yè)數(shù): 22
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