MJ-50型数控车床主传动系统设计【说明书+CAD】
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编号:10052880
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上传时间:2018-04-24
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数控车床
传动系统
设计
说明书
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cad
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BEBEK,BEARINGLOADBENDINGSTRESSBEAMISRATE,PARAMETERWITHTHEMOSTIMPORTANTINFLUENCEONDESIGNOFTHECRANKSHAFTRESULTSOFBEARINGLOADSANDWEBBENDINGSTRESSESARETABULATEDMUSTOVERALLSYSTEMSONPARAMETERSOFTHECRANKSHAFTSYSTEMSTUDIESONCRANKSHAFTOFINTERNALCOMBUSTIONENGINESMAINLYFOCUSONVIBRATIONANDSTRESSANALYSES19ALTHOUGHSTRESSANALYSESOFCRANKSHAFTSAREAVAILABLEINLITERATURE,THEREAREFEWSTUDIESONTHEEFFECTOFCOUNTERWEIGHTCONFIGURATIONONMAINBEARINGLOADSANDCRANKSHAFTSTRESSESSHARPEETAL10STUDIEDBALANCINGOFTHECRANKSHAFTOFAV8ENGINEUSINGARIGIDCRANKSHAFTMODELTIONSARECARRIEDOUTATENGINESPEEDRANGEOF10002000RPMBENDINGSTRESSESATTHECENTRESOFEACHWEBAREALSOCALCULATED2ENGINESPECIFICATIONSTHESPECIFICATIONSOFINLINESIXCYLINDERDIESELENGINEAREGIVENINTABLE1THE90LENGINECRANKSHAFTHASEIGHTCOUNTERWEIGHTSATCRANKWEBS1,2,5,6,7,8,11AND123DSOLIDMODELOFTHECRANKSHAFTISOBTAINEDUSINGPRO/ENGINEERANDISSHOWNINFIG1SCHEMATICREPRESENTATIONOFTHECRANKSHAFTISGIVENINFIG2STATICCORRESPONDINGAUTHORTEL902123597534FAX902122872456ADVANCESINENGINEERINGSOFTWARE40200995104CONTENTSLISTSAVAILABLEEMAILADDRESSYASINYILMAZBOUNEDUTRYYILMAZBEINGTHEMAINPARTRESPONSIBLEFORPOWERPRODUCTIONCRANKSHAFTSYSTEMMAINLYCONSISTSOFPISTON,PISTONPIN,CONNECTINGROD,CRANKSHAFT,TORSIONALVIBRATIONTVDAMPERANDFLYWHEELCOUNTERWEIGHTSAREPLACEDONTHEOPPOSITESIDEOFEACHCRANKTOBALANCEROTATINGINERTIAFORCESINGENERAL,COUNTERWEIGHTSAREDESIGNEDFORBALANCINGRATESBETWEEN50AND100FORACCEPTABLEMAXIMUMANDAVERAGEMAINBEARINGLOADS,MASSOFCOUNTERWEIGHTSANDTHEIRPOSITIONSAREIMPORTANTMAXIMUMANDAVERAGEMAINBEARINGLOADSOFANENGINEDEPENDONCYLINDERPRESSURE,COUNTERWEIGHTMASS,ENGINESPEEDANDOTHERGEOMETRICSTUDYONEFFECTOFCOUNTERWEIGHTCONFIGURATIONONMAINBEARINGLOADSANDCRANKSHAFTSTRESSESISSTILLNEEDEDINTHISSTUDY,COUNTERWEIGHTPOSITIONSANDMASSESOFANINLINESIXCYLINDERDIESELENGINECRANKSHAFTSYSTEMARESTUDIEDMAXIMUMANDAVERAGEMAINBEARINGFORCESANDCRANKSHAFTBENDINGSTRESSESARECALCULATEDFOR12COUNTERWEIGHTCONFIGURATIONSWITHAZERODEGREECOUNTERWEIGHTANGLE,ANDFOREIGHTCOUNTERWEIGHTCONFIGURATIONSWITH30C176COUNTERWEIGHTANGLEFOR0,50AND100COUNTERWEIGHTBALANCINGRATESANALYSESARECARRIEDOUTUSINGMULTIBODYSYSTEMSIMULATIONPROGRAM,ADAMS/ENGINESIMULA1INTRODUCTIONNEWINTERNALCOMBUSTIONENGINESPOWER,GOODFUELECONOMY,SMALLENGINEHARMLESSASPOSSIBLETOTHEENVIRONMENTEACHCOMPONENTOFTHEENGINEONITSBEINVESTIGATEDINDETAILCRANKSHAFTTIONENGINESHAVEIMPORTANTINFLUENCE09659978/SEEFRONTMATTERC2112008ELSEVIERLTDALLDOI101016/JADVENGSOFT200803009C2112008ELSEVIERLTDALLRIGHTSRESERVEDHAVEHIGHENGINESIZE,ANDSHOULDBEASTHEREFORE,THEEFFECTOFPERFORMANCESHOULDOFINTERNALCOMBUSENGINEPERFORMANCEANDOPTIMIZEDCOUNTERWEIGHTSTOMINIMIZEMAINBEARINGLOADSSTANLEYANDTARAZA11OBTAINEDMAXIMUMANDAVERAGEMAINBEARINGLOADSOFFOURANDSIXCYLINDERSYMMETRICINLINEENGINESUSINGARIGIDCRANKSHAFTMODELANDESTIMATEDIDEALCOUNTERWEIGHTMASSTHATRESULTEDINACCEPTABLEMAXIMUMBEARINGLOADRIGIDCRANKSHAFTMODELSTHATAREUSEDINCOUNTERWEIGHTANALYSESDONOTCONSIDERTHEEFFECTOFCRANKSHAFTFLEXIBILITYONMAINBEARINGLOADSANDCANLEADTOCONSIDERABLEERRORSTHEREFORE,ANEXTENSIVECRANKSHAFTMODELSBALANCINGRATEBOTHCONFIGURATIONSSHOWTHESAMETRENDTHELOADFROMGASPRESSURERATHERTHANINERTIAFORCESISTHEANINVESTIGATIONOFTHEEFFECTOFCOUNTERWEIGHTLOADANDCRANKSHAFTBENDINGSTRESSYASINYILMAZ,GUNAYANLASDEPARTMENTOFMECHANICALENGINEERING,FACULTYOFENGINEERING,BOGAZICIUNIVERSITY,34342ARTICLEINFOARTICLEHISTORYRECEIVED11FEBRUARY2008RECEIVEDINREVISEDFORM17MARCH2008ACCEPTED24MARCH2008AVAILABLEONLINE6MAY2008KEYWORDSCOUNTERWEIGHTCONFIGURATIONABSTRACTINTHISSTUDY,EFFECTSOFCOUNTERWEIGHTSTRESSOFANINLINESIXCYLINDERADAMSINTHEANALYSIS,RIGID,RIGID,BEAMAND3DSOLIDMODELSANALYSESTWELVECOUNTERWEIGHTTERWEIGHTCONFIGURATIONSWITHINGRATES,ARECONSIDEREDITWITHINCREASINGBALANCINGADVANCESINENGINEERINGJOURNALHOMEPAGEWWWELSEVIERCOM/LORIGHTSRESERVEDCONFIGURATIONONMAINBEARINGISTANBUL,TURKEYMASSANDPOSITIONONMAINBEARINGLOADANDCRANKSHAFTBENDINGDIESELENGINEISINVESTIGATEDUSINGMULTIBODYSYSTEMSIMULATIONPROGRAM,AND3DSOLIDCRANKSHAFTMODELSAREUSEDMAINBEARINGLOADRESULTSOFARECOMPAREDANDBEAMMODELISUSEDINCOUNTERWEIGHTCONFIGURATIONCONFIGURATIONSWITHAZERODEGREECOUNTERWEIGHTANGLEANDEIGHTCOUN30C176COUNTERWEIGHTANGLE,EACHFOR0,50AND100COUNTERWEIGHTBALANCFOUNDTHATMAXIMUMMAINBEARINGLOADANDWEBBENDINGSTRESSINCREASEANDAVERAGEMAINBEARINGLOADDECREASESWITHINCREASINGBALANCINGRATEATSCIENCEDIRECTSOFTWARECATE/ADVENGSOFTUNBALANCEOFEACHCRANKTHROWWITHANDW/OCOUNTERWEIGHTSISDETERMINEDUSINGPRO/ENGINEERANDISGIVENINTABLE2THEBALANCINGSYSTEMDATAFORTHECRANKTRAINAREGIVENINTABLE33MODELINGOFCRANKSHAFTSYSTEMUSINGADAMS/ENGINE,ACRANKSHAFTCANBEMODELEDINFOURDIFFERENTWAYSRIGIDCRANKSHAFT,TORSIONALFLEXIBLECRANKSHAFT,BEAMCRANKSHAFTAND3DSOLIDCRANKSHAFTRIGIDCRANKSHAFTMODELISMAINLYUSEDTOOBTAINFREEFORCESANDTORQUES,ANDFORBALANCINGPURPOSESTORSIONALFLEXIBLECRANKSHAFTMODELISUSEDTOINVESTIGATETORSIONALVIBRATIONSWHEREEACHTHROWISMODELEDASONERIGIDPART,ANDSPRINGSAREUSEDBETWEENEACHTHROWTOREPRESENTTORSIONALSTIFFNESSBEAMCRANKSHAFTMODELISUSEDTOREPRESENTTHETORSIONALANDBENDINGSTIFFNESSOFTHECRANKSHAFTUSINGBEAMMODELBENDINGSTRESSESATTHEWEBSCANBECALCULATED12TABLE1ENGINESPECIFICATIONSUNIT90LENGINEBOREDIAMETERMM115STROKEMM144AXIALCYLINDERDISTANCEMM134PEAKFIRINGPRESSUREMPA19RATEDPOWERATSPEEDKW/RPM295/2200MAXTORQUEATSPEEDNM/RPM1600/12001700MAINJOURNAL/PINDIAMETERMM95/81FIRINGORDER153624FLYWHEELMASSKG4784FLYWHEELMOMENTOFINERTIAKGMM2157E9MASSOFTVDAMPERRINGKG494MASSOFTVDAMPERHOUSINGKG686MOMENTOFINERTIAOFTHERINGKGMM2127E5MOMENTOFINERTIAOFTHEHOUSINGKGMM2056E5MAINBEARING1MAINBEARING2MAINBEARING3MAINBEARING4MAINBEARING5MAINBEARING6MAINBEARING7COUNTERWEIGHTSFIG13DSOLIDMODELOFTHECRANKSHAFTC3,C4,C5,C6C1,C2,C7,C81,63,42,5C1C2C3C4C5C612FIG2EIGHTCOUNTERWEIGHTARRANGEMENTTABLE2PROPERTIESOFTHECRANKTHROWSTHROW1THROW2MASSKG1250925CGPOSITIONFROMCRANKROTATIONAXISMM1242331435STATICUNBALANCEKGMM15526529076796YYILMAZ,GANLAS/ADVANCESINENGINEERINGSOFTWARE40200995104C7C83456OFTHE90LENGINECRANKSHAFTTHROW3THROW4THROW5THROW612501250928125511967119663102711702149734149734287871146856ELASTIC3DSOLIDMODELOFTHECRANKSHAFTCANBEOBTAINEDUSINGANADDITIONALFINITEELEMENTPROGRAMTHEPROCEDUREISLENGTHYANDTIMECONSUMINGANDUSUALLYONEENDSUPWITHDEGREESOFFREEDOMINORDEROFMILLIONSTOSIMPLIFYTHEFINITEELEMENTMODEL,MODALSUPERPOSITIONTECHNIQUEISUSEDTHEELASTICDEFORMATIONOFTHESTRUCTUREISAPPROXIMATEDBYLINEARCOMBINATIONOFSUITABLEMODESWHICHCANBESHOWNASFOLLOWSUUQ1WHEREQISTHEVECTOROFMODALCOORDINATESANDUISTHESHAPEFUNCTIONMATRIXTABLE3CRANKSHAFTSYSTEMDATACRANKRADIUSMM72CONNECTINGRODLENGTHMM239MASSOFCOMPLETEPISTONKG342CONNECTINGRODRECIPROCATINGMASSKG092RECIPROCATINGMASSTOTALPERCYLINDERKG432CONNECTINGRODROTATINGMASSKG201YYILMAZ,GANLAS/ADVANCESINENGINEERINGANELASTICBODYCONTAINSTWOTYPESOFNODES,INTERFACENODESWHEREFORCESANDBOUNDARYCONDITIONSINTERACTWITHTHESTRUCTUREDURINGMULTIBODYSYSTEMSIMULATIONMSS,ANDINTERIORNODESINMSSTHEPOSITIONOFTHEELASTICBODYISCOMPUTEDBYSUPERPOSINGITSRIGIDBODYMOTIONANDELASTICDEFORMATIONINADAMS,THISISPERFORMEDUSINGCOMPONENTMODESYNTHESIS”TECHNIQUEBASEDONCRAIGBAMPTONMETHOD13,14THECOMPONENTMODESCONTAINSTATICANDDYNAMICBEHAVIOROFTHESTRUCTURETHESEMODESARECONSTRAINTMODESWHICHARESTATICDEFORMATIONSHAPESOBTAINEDBYGIVINGAUNITDISPLACEMENTTOEACHINTERFACEDEGREEOFFREEDOMDOFWHILEKEEPINGALLOTHERINTERFACEDOFSFIXED,ANDFIXEDBOUNDARYNORMALMODESWHICHARETHESOLUTIONOFEIGENVALUEPROBLEMBYFIXINGTHEENTIREINTERFACEDOFSTHEMODALTRANSFORMATIONBETWEENTHEPHYSICALDOFANDTHECRAIGBAMPTONMODESANDTHEIRMODALCOORDINATESISDESCRIBEDBY15UUBUIC26C27I0UCUNC20C21QCQNC26C272WHEREUBANDUIARECOLUMNVECTORSANDREPRESENTBOUNDARYDOFANDINTERIORDOF,RESPECTIVELYI,0AREIDENTITYANDZEROMATRICES,RESPECTIVELYUCISTHEMATRIXOFPHYSICALDISPLACEMENTSOFTHEINTERIORDOFINTHECONSTRAINTMODESUNISTHEMATRIXOFPHYSICALDISFIG3MODELOFTHECRANKSHAFTSYSTEMPLACEMENTSOFTHEINTERIORDOFINTHENORMALMODESQCISTHECOLUMNVECTOROFMODALCOORDINATESOFTHECONSTRAINTMODESQNISTHECOLUMNVECTOROFMODALCOORDINATESOFTHEFIXEDBOUNDARYNORMALMODESTOOBTAINDECOUPLEDSETOFMODES,CONSTRAINEDMODESANDNORMALMODESAREORTHOGONALIZEDELASTIC3DSOLIDCRANKSHAFTMODELOFTHE90LENGINEISOBTAINEDINMSCNASTRANUSINGMODALSUPERPOSITIONTECHNIQUEFIRST,3DSOLIDMODELOFTHECRANKSHAFTTHATISSHOWNINFIG1ISEXPORTEDTOMSCNASTRANANDFINITEELEMENTMODELOFTHECRANKSHAFT,WHICHISCHARACTERIZEDBYAPPROXIMATELY300,000TENNODETETRAHEDRALELEMENTSAND500,000NODESISOBTAINEDTHEMODALMODELOFTHECRANKSHAFTISDEVELOPEDWITH32BOUNDARYDOFSASSOCIATEDWITH16INTERFACENODESCONSTRAINEDMODESOBTAINEDFROMSTATICANALYSISCORRESPONDTOTHESEDOFSFLEXIBLECRANKSHAFTMODELISOBTAINEDTHROUGHMODALSYNTHESISCONSIDERINGTHEFIRST40FIXEDBOUNDARYNORMALMODESTHEREFOREFLEXIBLECRANKSHAFTMODELISCHARACTERIZEDBYATOTALOF72DOFSTHISMODELISEXPORTEDTOADAMS/ENGINEANDCRANKSHAFTSYSTEMMODELTHATISSHOWNINFIG3ISOBTAINED3DFINITEELEMENTMODELISRUNWITHADAMS4FORCESACTINGONCRANKSHAFTSYSTEMANDBALANCINGFORCESINANINTERNALCOMBUSTIONENGINEMAYBEDIVIDEDINTOINERTIAFORCESANDPRESSUREFORCESINERTIAFORCESAREFURTHERDIVIDEDINTOTWOMAINCATEGORIESROTATINGINERTIAFORCESANDRECIPROCATINGINERTIAFORCESTHEROTATINGINERTIAFORCEFOREACHCYLINDERCANBEWRITTENASSHOWNBELOWFIRJMRC1RRC1X2C1C0SINHJJCOSHJK3WHEREMRISTHEROTATINGMASSTHATCONSISTSOFTHEMASSOFCRANKPIN,CRANKWEBSANDMASSOFROTATINGPORTIONOFTHECONNECTINGRODRRISTHEDISTANCEFROMTHECRANKSHAFTCENTREOFROTATIONTOTHECENTREOFGRAVITYOFTHEROTATINGMASS,XISANGULARVELOCITYOFTHECRANKSHAFT,ANDHJISTHEANGULARPOSITIONOFEACHCRANKTHROWWITHRESPECTTOTOPDEADCENTRE”TDCIFTHEREARETWOCOUNTERWEIGHTSPERCRANKTHROW,EACHCOUNTERWEIGHTFORCEISGIVENBY11FCWIJC0MCWIJC1RCWIJC1X2C1C0SINHJCIJJCOSHJCIJKHII12J1264WHERECI,JISTHEOFFSETANGLEOFCOUNTERWEIGHTMASSFROM180C176OPPOSITEOFCRANKTHROWJ”THEREARETWOCOUNTERWEIGHTSPERTHROWI”DENOTESTHECOUNTERWEIGHTNUMBERTHECOUNTERWEIGHTSIZETHATISREQUIREDTOACCOMPLISHANASSESSEDBALANCINGRATEISUCWKC1UCRANKTHROWMCRRC1RC1COSC25WHEREUCWISTHESTATICUNBALANCEOFEACHCOUNTERWEIGHT,UCRANK_THROWISTHESTATICUNBALANCEOFEACHCRANKTHROW,MCRRISTHEMASSOFCONNECTINGRODROTATINGPORTION,RISTHECRANKRADIUSANDKISTHEBALANCINGRATEOFTHEINTERNALCOUPLEDUETOROTATINGFORCESFROMTHISFORMULAFOLLOWSTHEBALANCINGRATEFORAGIVENCRANKSHAFTANDAGIVENCOUNTERWEIGHTSIZEK2C1UCWUCRANKTHROWMCRRC1RC1COSC6FORASTANDARDINLINESIXCYLINDERENGINECRANKSHAFTWITHTHREEPAIRSOFCRANKTHROWSDISPOSEDATANGLESOF120C176THATAREARRANGEDSYMMETRICALTOTHECRANKSHAFTCENTRE,ROTATINGFORCES,ANDFIRSTANDSECONDORDERRECIPROCATINGFORCESARENATURALLYBALANCEDTHISCANBEEXPLAINEDBYTHEFIRSTANDSECONDORDERVECTORSTARSSHOWNINFIG4THESIXCYLINDERCRANKSHAFTGENERATESROTATINGANDFIRSTSOFTWARE4020099510497ANDSECONDORDERRECIPROCATINGCOUPLESINEACHCRANKSHAFTHALFTHATBALANCEEACHOTHERBUTWHICHRESULTININTERNALBENDINGMOMENTATHIGHSPEEDS,THETWOEQUALLYDIRECTEDCRANKTHROWS,3AND4YIELDAHIGHROTATINGLOADONCENTREMAINBEARINGTHEROTATINGINERTIAFORCEOFEACHCYLINDERISUSUALLYOFFSETATLEASTPARTIALLYBYCOUNTERWEIGHTSPLACEDONTHEOPPOSITESIDEOFEACHCRANKINGENERAL,THECOUNTERWEIGHTSAREDESIGNEDFORBALANCINGRATESBETWEEN50AND100OFTHEINTERNALCOUPLEGASFORCESINCYLINDERSAREACTINGONPISTONHEAD,CYLINDERHEADANDONSIDEWALLSOFTHECYLINDERTHESEFORCESAREEQUALTOFPJC0PD24C1PCYLJHC0PCCJHC138KJ12671,62,53,43,41,62,5FIG4FIRSTANDSECONDORDERVECTORSTARS020406080100120140160180200090180270360450540630720CRANKANGLEDEGREEPRESSUREBAR1000RPM1200RPM1350RPM1675RPM2000RPMFIG5GASPRESSUREVALUESATDIFFERENTENGINESPEEDSFORTHE90LENGINEBEARING102550751001251500120240360480600720CRANKANGLEDEGFORCEKNRIGIDBEAM3DSOLIDFIG6FORCESACTINGONMAINBEARING1FORRIGID,BEAMAND3DSOLIDCRANKSHAFTMODELSAT1000RPMENGINESPEEDBEARING202550751001251501750120240360480600720CRANKANGLEDEGFORCEKNRIGIDBEAM3DSOLIDFIG7FORCESACTINGONMAINBEARING2FORRIGID,BEAMAND3DSOLIDCRANKSHAFTMODELSAT1000RPMENGINESPEEDBEARING302550751001251500120240360480600720CRANKANGLEDEGFORCEKNRIGIDBEAM3DSOLIDFIG8FORCESACTINGONMAINBEARING3FORRIGID,BEAMAND3DSOLIDCRANKSHAFTMODELSAT1000RPMENGINESPEEDBEARING402550751001251500120240360480600720CRANKANGLEDEGFORCEKNRIGIDBEAM3DSOLIDFIG9FORCESACTINGONMAINBEARING4FORRIGID,BEAMAND3DSOLIDCRANKSHAFTMODELSAT1000RPMENGINESPEEDBEARING5125150RIGIDBAM3DSOLID98YYILMAZ,GANLAS/ADVANCESINENGINEERINGSOFTWARE4020099510402550751000120240360480600720CRANKANGLEDEGFORCEKNFIG10FORCESACTINGONMAINBEARING5FORRIGID,BEAMAND3DSOLIDCRANKSHAFTMODELSAT1000RPMENGINESPEEDWHEREDISCYLINDERDIAMETER,PCYLISTHEGASPRESSUREINTHECYLINDERANDPCCISTHEPRESSUREINTHECRANKCASETHEGASFORCESARETRANSMITTEDTOTHECRANKSHAFTTHROUGHTHEPISTONANDCONNECTINGRODCYLINDERPRESSURECURVESFORTHE90LENGINESTUDIEDUNDERFULLLOADATDIFFERENTENGINESPEEDSAREGIVENINFIG5PRESSURECURVESAREOBTAINEDUSINGAVL/BOOSTENGINECYCLECALCULATIONPROGRAMWHICHSIMULATESTHERMODYNAMICPROCESSESINTHEENGINETAKINGINTOACCOUNTONEDIMENSIONALGASDYNAMICSINTHEINTAKEANDEXHAUSTSYSTEMS165MAINBEARINGLOADSCOMPARISONOFCRANKSHAFTMODELSMAINBEARINGLOADSARECALCULATEDUSINGADAMSSRIGID,BEAMAND3DSOLIDCRANKSHAFTMODELSANDCOMPAREDINTHERIGIDMODEL,NOVIBRATIONEFFECTSARECONSIDEREDWHICHCANLEADTOCONSIDERABLEERRORSIFVIBRATIONEFFECTSHAVEAMAJORROLEONTHESYSTEMLIKEINMULTITHROWCRANKSHAFTSTOCONSIDERVIBRATIONEFFECTSBEAMCRANKSHAFTMODELISUSEDANDMAINBEARINGLOADSANDBENDINGSTRESSESATWEBSARECALCULATEDRIGIDMODELASSUMESCRANKSHAFTTOBESTATICALLYDETERMINATEANDREACTIONFORCEOFANYGIVENBEARINGDEPENDSONTHELOADEXERTEDONTHETHROWSADJACENTTOTHATBEARINGBEAMMODELASSUMESTHECRANKSHAFTTOBESTATICALLYINDETERMINATEANDTHELOADEXERTEDONATHROWAFFECTSALLBEARINGSANALYSESARECARRIEDOUTATANENGINESPEEDRANGEOF10002000RPMAMORESOPHISTICATED3DSOLIDHYBRIDMODELTHATCOMBINESFEWITHADAMSISUSEDTOCHECKTHERESULTSOBTAINEDBYBEAMMODELMAXIMUMMAINBEARINGLOADOCCURSATBEARINGNUMBERTWOATBEARING602550751001251500120240360480600720CRANKANGLEDEGFORCEKNRIGIDBEAM3DSOLIDFIG11FORCESACTINGONMAINBEARING6FORRIGID,BEAMAND3DSOLIDCRANKSHAFTMODELSAT1000RPMENGINESPEEDBEARING702550751001251500120240360480600720CRANKANGLEDEGFORCEKNRIGIDBEAM3DSOLIDFIG12FORCESACTINGONMAINBEARING7FORRIGID,BEAMAND3DSOLIDCRANKSHAFTMODELSAT1000RPMENGINESPEEDBEARING14050607080100012001400160018002000CRANKANGULARVELOCITYRPMMAXIMUMBEARINGK0K50K100FORCEKNFIG13AMAXIMUMANDBAVERAGEBEARINGFORCESATBEARING2120130140150160K0K50K100MAXIMUMBEARINGFORCEKN100012001400160018002000CRANKANGULARVELOCITYRPMFIG14AMAXIMUMANDBAVERAGEBEARINGFORCESATYYILMAZ,GANLAS/ADVANCESINENGINEERINGSOFTWARE4020099510499ANENGINESPEEDOF1000RPM,THEREFORERESULTSAREPLOTTEDINFIGS612FOR1000RPMONLYRIGIDCRANKSHAFTMODELOVERESTIMATESTHEMAXIMUMMAINBEARINGLOADATBEARINGS1AND7WITHRESPECTTOBEAMANDFLEXIBLECRANKSHAFTMODELSHOWEVERITUNDERESTIMATESTHEMAXIMUMMAINBEARINGLOADATOTHERBEARINGSFOREXAMPLEATBEARING2,BEAMMODELGIVESAMAXIMUMMAINBEARINGLOADTHATIS50MORETHANTHATOFRIGIDMODELSBECAUSETHEBEAMMODELASSUMESTHECRANKSHAFTTOBESTATICALLYINDETERMINATEANDCONSIDERSBEARING1100012001400160018002000CRANKANGULARVELOCITYRPM05101520AVERAGEBEARINGK0K50K100FORCEKNBEARING1FOR12COUNTERWEIGHTCONFIGURATIONSBEARING22025303540K0K50K100100012001400160018002000AVERAGEBEARINGFORCEKNCRANKANGULARVELOCITYRPMBEARING2FOR12COUNTERWEIGHTCONFIGURATIONSBENDINGVIBRATIONSMAXIMUMMAINBEARINGLOADDIFFERENCEOFBEAMAND3DSOLIDMODELSISAPPROXIMATELY5MAINBEARINGLOADSFORBEAMAND3DSOLIDCRANKSHAFTMODELSAREGENERALLYINGOODAGREEMENTINBEARINGS3,5AND6,3DSOLIDMODELGIVESLARGERBEARINGLOADSATFIRINGPOSITIONSOFTHECYLINDERSTHATARENOTADJACENTTOBEARINGBECAUSEOBTAININGELASTIC3DSOLIDMODELSFORDIFFERENTCOUNTERWEIGHTCONFIGURATIONSISDIFFICULTANDTIMECONSUMING,ANDBEAMMODELGIVESEQUALLYVALIDRESULTS,BEAMMODELISUSEDBEARING3100110120130140K0K50K100BEARING32025303540K0K50K100MAXIMUMBEARINGFORCEKN100012001400160018002000CRANKANGULARVELOCITYRPM100012001400160018002000CRANKANGULARVELOCITYRPMAVERAGEBEARINGFORCEKNFIG15AMAXIMUMANDBAVERAGEBEARINGFORCESATBEARING3FOR12COUNTERWEIGHTCONFIGURATIONSBEARING460708090100110120K0K50K100BEARING410152025303540K0K50K100MAXIMUMBEARINGFORCEKN100012001400160018002000CRANKANGULARVELOCITYRPM100012001400160018002000CRANKANGULARVELOCITYRPMAVERAGEBEARINGFORCEKNFIG16AMAXIMUMANDBAVERAGEBEARINGFORCESATBEARING4FOR12COUNTERWEIGHTCONFIGURATIONSBEARING6120130140K0K50K100BEARING635404550K0K50K100BEARING5100110120130140K0K50K100BEARING52025303540K0K50K100MAXIMUMBEARINGFORCEKN100012001400160018002000CRANKANGULARVELOCITYRPM100012001400160018002000CRANKANGULARVELOCITYRPMAVERAGEBEARINGFORCEKNFIG17AMAXIMUMANDBAVERAGEBEARINGFORCESATBEARING5FOR12COUNTERWEIGHTCONFIGURATIONS100YYILMAZ,GANLAS/ADVANCESINENGINEERINGSOFTWARE40200995104100110MAXIMUMBEARINGFORCEKN100012001400160018002000CRANKANGULARVELOCITYRPMFIG18AMAXIMUMANDBAVERAGEBEARINGFORCESAT202530100012001400160018002000AVERAGEBEARINGFORCEKNCRANKANGULARVELOCITYRPMBEARING6FOR12COUNTERWEIGHTCONFIGURATIONSINTHERESTOFTHEWORKTOSTUDYTHEEFFECTOFCOUNTERWEIGHTCONFIGURATIONONMAINBEARINGLOADSANDCRANKSHAFTBENDINGSTRESSES6EFFECTOFCOUNTERWEIGHTCONFIGURATIONONMAINBEARINGLOADANDCRANKSHAFTBENDINGSTRESSTHEEFFECTOFCOUNTERWEIGHTARRANGEMENTONBEARINGFORCESANDCRANKSHAFTBENDINGSTRESSESISINVESTIGATEDUSINGBEAMMODELFORTHEFOLLOWINGCASESC15NOCOUNTERWEIGHTS,K0C1512COUNTERWEIGHTSWITHK50,C0C176ANDK100,C0C176C15EIGHTCOUNTERWEIGHTSWITHK50,C30C176ANDK100,C30C176BEARING75060708090K0K50K100BEARING705101520K0K50K100MAXIMUMBEARINGFORCEKN100012001400160018002000CRANKANGULARVELOCITYRPM100012001400160018002000CRANKANGULARVELOCITYRPMAVERAGEBEARINGFORCEKNFIG19AMAXIMUMANDBAVERAGEBEARINGFORCESATBEARING7FOR12COUNTERWEIGHTCONFIGURATIONSYYILMAZ,GANLAS/ADVANCESINENGINEERINGSOFTWARE40200995104101TABLE4MAXIMUMBENDINGSTRESSESFORNOCOUNTERWEIGHTCONFIGURATIONAND12COUNTERWEIGHTCONFIGURATIONSWITHK50AND100MAXIMUMBENDINGSTRESSMPA1000RPM1200RPM1350RPM1675RPM2000RPMK0WEB11359133413651351278WEB1214571417144214031318K50WEB113841368140914121359WEB1214781448148414661401K10061TWELVECOUNTERWEIGHTS,C0C176,K0,K50ANDK100INTHISCONFIGURATION,COUNTERWEIGHTSAREPLACEDONOPPOSITESIDESOFALLWEBSCOUNTERWEIGHTSTATICUNBALANCEISCALCULATEDBEARING14050607080K0K50K100MAXIMUMBEARINGFORCEKN100012001400160018002000CRANKANGULARVELOCITYRPMFIG20AMAXIMUMANDBAVERAGEBEARINGFORCESATWEB114061400145014731438WEB1214991478152315271484USINGEQ5FORK50ANDK100BALANCINGRATESMAXIMUMANDAVERAGEMAINBEARINGLOADSARECALCULATEDUSINGTHEBEAMCRANKSHAFTMODELCONSIDERINGINERTIALANDGASPRESSUREFORCESANDAREPLOTTEDINFIGS1319ASFUNCTIONOFCRANKSHAFTANGULARVELOCITYANDBALANCINGRATEINFIGS1319,MAXIMUMBEARINGLOADINCREASESWITHINCREASINGBALANCINGRATETHISBEHAVIORCANBEEXPLAINEDASFOLLOWSFORSIXCYLINDERINLINEENGINECRANKSHAFTS,THEROTATINGINERTIAFORCEANDFIRSTHARMONICCOMPONENTOFTHERECIPROCATINGINERTIAFORCEAREINPHASEANDADDINTHEDIRECTIONOFTHECYLINDERTHEPRESSUREFORCEISALMOS
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