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ModelingandSimulationonAxialPistonPumpBasedonVirtualPrototypeTechnologyAbstract:Aparticularemphasisisplacedonthevirtualprototypetechnology(VPT)ofaxialpistonpump.Withthistechnologyitisconvenientandflexibletobuildacomplicated3Dvirtualbasedonrealphysicalmodel.Theactualkinematicspairsofthepartswereaddedonthemodel.Thefluidcharacterswerecalculatedbyhydraulicsoftware.Theshapeoftheparts,theflexiblebodyofparts,etc.wereimprovedinthisprototype.Sothevirtualprototypeofpistonpumpcanworkincomputerlikearealpistonpump,andtheflowripple,pressurepulsation,motionprinciple,stressofparts,etc.canbeinvestigated.ThedevelopmentoftheVPTisintroducedatthebeginning,andthemodelingprocessofthevirtualprototypeisexplained.Thenaspecialemphasisislaidontherelationshipbetweenthedynamicsmodelandthehydraulicmodel,andthesimulationsontheflowripple,pressurepulsation,motionprinciple,thestressandstraindistributionofthemiddleshaftandpistonareoperated.Finally,theadvantagesanddisadvantagesoftheVPTarediscussed.TheimprovedvirtualprototypeofpistonpumpmoretallywiththerealsituationandtheVPThasagreatpotentialinsimulationonhydrauliccomponents.Keywords:virtualprototype,axialpistonpump,dynamics1Introduction∗Axialpistonhydrostaticpumpisanimportanthydrauliccomponent,whichiswidelyappliedbothinindustryandmobilemachine.Asthepistonpumphascomplicatedstructureandcompositehigh-speedmotion,soitisdifficulttodoexactlyresearchonthepump.Thepumpmodelisalwayssimplifiedtoagreatdegree.Andthesimplificationsbringconsiderabledeviation.Withthedevelopmentofcomputerandmulti-bodydynamics,thevirtualprototypetechnology(VPT)isusedforstudyinghydraulicsystemandcomponents.Virtualprototypetechnologyisanewengineeringtechnology.WiththeVPTcomplexmechanismsystemmodelcanbemadeanditsdynamicscharacteristiccanbesimulatedataveryrealconditionbyintegratingmodelingtoolsfromseveraldifferentfieldsandsimulationmethods.ThecoreofVPTisthedynamicsmodel,whichhaveseveralinterfacestoconnectothermodels,suchashydraulicmodelandfitnesselementmethod(FEM)model.SothevirtualprototypebuiltbasedonVPTcansimulatemostofthepumpperformances,andthesimulationresultsofthevirtualprototypeareveryclosetothetestresultsofthephysicsprototype.Sometimesthesimulationcanevenreplacephysicstestandsavethedevelopmentcost[1].Hydraulicvirtualprototypetechnologyintegratetheadvanced3DCADmodelingmethodandhydraulicsimulationtechnologytopredictperformanceandstudycharacteristicsofamachine[1].Becauseofthecomplicatedstructureandnonlinearcharacteristicsofthehydraulic-solidcoupling,itistime-consumingandexpensivewithtraditionaltry-and-errordesignway,andtheanalysisresultsoftraditionalwayarenotaccurateenough[2].Thevirtualprototypeofhydraulicmachine,suchastheaxialpistonpump,isabetterwaytopredicttheperformanceofhydrauliccomponent[3].Withthecommercialhydraulicanddynamicsoftwares,avirtualprototypeofpistonpumpwasmadebyAachenTechniqueUniversity,Germany,in2002[4].Thehydrauliccharacteristicsandfrictionsbetweenthekeytribo-pairswereanalyzed[5−6].Inordertooptimizetheinclineangleoftheswashplate,avirtualprototypeofabentaxispistonpumpwasmadein2003[7].Theconceptofvirtualprototypeofpistonpumpwasproposedin2004,theoutputpressureandflowripple,thestrainandstressofthekeypartswereallanalyzed[8].Itisveryusefulfortheoptimizationofpump.TheflowrippleofaswashplatepistonpumpwasstudiedusingVPTin2006[9].Alltheseresearchesprovedtheeffectivityofthistechnology,butthesemodelsarestillsimpleandneedfurtherimproving.Inthisresearch,avirtualprototypeofaxialpistonpumpisdeveloped,whichcombines3Dmodel,flexibleFEMmodelandhydraulicmodelingtogether.Theperformanceofthepumpisanalyzed,andtheoptimizationoftheindexangleofswashplatebyVPTshowsthepotentialofimprovingproducts.2ModelingofthePistonPumpThevalidityofthesimulationresultslayontherationalityofitsmodel,sothemodelingofpistonpumpiscrucial.Thevirtualprototypeofpistonpumpconnectsseveraldifferentmodels,includinghydraulicsystem,3DstructuralmodelandFEMpartsmodel,whicharebuiltrespectivelyandconnectedeachotherinsimulation.2.1AnalysisofdynamicrelationshipsBeforebuildingthedynamicmodelandmakingtheinterfacestoconnectothermodels,therealkineticrelationshipsandmotionparametersofthenecessarypartsshouldbeanalyzed.Thereareseveralhypothesesasfollows.(1)Inordertosimplythesimulation,onlynecessarypartsareconsidered.Someaccessoriesmodels,suchasmechanismofvariabledisplacementandslipperhold-down,areignored.(2)Therotationofmiddleshaftisstableandthespeedisdefinedasconstant.(3)Theangleofswashplatechangesinadefinedworkrangebyrotationdrive.(4)Theoilfilmbetweenpistonandcylinder,swashplateandslipper,cylinderandvalveplateisstable,anditsfrictioncoefficientisconstant.AsshowninFig.1,themiddleshaftofswashplatetypepistonpumprotatesarounditsaxisanddrivesthecylinder,pistonsandcorrespondslippersrotatingatasamespeed[10−11].ThecoordinatesofpointB′ofintersectionbetweenthecenterlineofpistonandthesurfaceofswashplateisdescribedasfollows:tancoscossinRzRyRx(1)FromEq.(1),itisshownthatpistonmovesalongz-axisandrotatesaroundthemiddleshaft.ThetrackofpointBcandescribethemotionofthepiston.BasedonEq.(1),the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