一篇机电一体化的英语论文及翻译Word文件下载.docx
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Trondheim,Norway
ReceivedonDecember3,1997
ABSTRACT
Thispaperpresentsaunifiedapproachbasedonutilizingmultidimensionalarraysinordertomodelthephysicalandlogicalpropertiesofmechatronicssystems.Amechatronicssystemmodelconsistsoftwointeractingsubmodels.Asubmodelthatdescribesaspectsrelatedtoenergyflowinthephysicalsystem,andanothersubmodelthatdescribesaspectsrelatedtoinformationflowinthecontrolsystem.Themultidimensionalarraybasedapproachofmodellingprovidesuswiththepossibilitytouseoneterminologyandthesameformalismformodellingbothsubsystems.Theconsequenceofusingthesameformalismisthatsimulationofthemechatronicssystemcanbeperformedusingonlyonesimulationenvironment
Keywords:
Mechatronics,System,Modelling
1.INTRODUCTION
Mechatronicssystemisdefinedasthesynergeticintegrationofmechanicalengineeringwithelectronics,andintelligentcomputercontrolinthedesignandmanufacturingofindustrialproductsandprocesses[5].Thecomponentsofmechatronicssystemsmustbedesignedconcurrently,thatis,theconstraintsimposedonthesystembyeachdisciplinemustbeconsideredattheveryearlystages.Therefore,propersystemdesignwilldependheavilyontheuseofmodellingandsimulationthroughoutthedesignandprototypingstages.Theintegrationwithinamechatronicssystemisperformedthroughthecombinationofthehardwarecomponentsresultinginaphysicalsystemandthroughtheintegrationoftheinformationprocessingsystemresultinginanintelligentcontrolsystem[7].
Themechatronicssystemthen,istheresultofapplyingcomputerbasedcontrolsystemstophysicalsystems.Thecontrolsystemisdesignedtoexecutecommandsinrealtimeinordertoselect,enhance,andsupervisethebehaviorofthephysicalsystem.Theonlypossiblewaytoguaranteethatthesecontrolfunctionswillkeepthebehaviorofthewholesystemwithincertainboundariesbeforeweactuallybuildit,istocreateamodeloftherealsystemthattakesintoaccountalltheimposedconstraintsbyboththehardwareandsoftwarecomponents.Thisimpliesthatamodeloftherealsystemmustbepowerfulenoughtocaptureallthepropertiesofmechatronicssystem.Thatincludes;
thedynamic,static,discreteevent,logic,aswellascostrelatedpropertiesoftherealsystem,ataskwebelieve,defiesanyfragmentedapproachofmodelling.Inthispaperwepresentaunifiedapproachformodellingmechatronicssystems.Thisunifiedapproachutilizesgeometricobjectsormultidimensionalarraystoformulatemodelsofmechatronicssystems.Themultidimensionalarraybasedapproachofmodellingprovidesuswiththepossibilitytousethesameformalismforalargevarietyofsystems[2,3,4,9].Theconsequenceofusingthesameformalismisthatsimulationofmechatronicssystemscanbeperformedusingonlyonesimulationenvironment.
2.MODELSTRUCTURE
Intuitivelyspeaking,amodelthatdescribesthedynamicbehaviorofagivensystemcannotbeusedtoinvestigatethestaticbehavioroftheverysamesystem.Therefore,inordertocaptureallaspects,weneedavarietyofmodels,eachoneofthemencapsulatessomeaspectsoftherealsystem.
Wewillconsiderthemechatronicssystemmodelasasetofconnectedsubmodels,eachsubmodelcorrespondstosomerealizableaspects.Inthisregard,thetermconnectedwasusedtoemphasizethedependencybetweenthevariablesinthesesubmodels.Throughouttheprocessofmodelling,weshalldistinguishbetweenthefollowingconcepts,seeFigure1.
Decomposition:
inordertohandlethecomplexityofmechatronicssystems,theyshouldbedecomposedintosubsystems.Thisdecompositioniscarriedoutonamultilevelfashionuntilwereachthebasicelementsthatconstitutethetotalsystem.Theprimitivesystemmodel:
isadescriptionofthesysteminthedisconnectedstate.Itexpressestherelationbetweenthevariablesintheindividualelementswhenthebondsbetweentheseelementsareremoved.Bythismodelweisolateaspecificbehavior;
static,dynamic,etc.,ineachelement.Apairoflocalvariablesdefinesthebehaviorofagivenelementlocally.TheConnectedsystemmodel:
isadescriptionofthesamesystemaftertakingtheinternalconstraintsintoaccount.Theinternalconstraintswithinthesystemaregivenbythewaythelocalvariablesareconnectedorrelateddirectlyaswellasindirectlybythevariablesoftheconnectedsystem.Theconnectedsystemmodelresemblestheactualstructureoftherealsystem.
Theappliedsourcesaregeneratedduetointeractionbetweenthesystemanditsenvironment.Theycouldbeseenastheexternalconstraintsimposedonthesystemoreveninherentconstraintsintheformofstoredenergyinsystemelements.
3.APPLICATIONEXAMPLE
Consider,themanufacturingsystemshowninFigure2.
Thesystemconsistsofaboringspindlepoweredbyadirectcurrentmotor.Thefeedforwardmotionoftheboringspindleiscarriedoutbymeansofahydrauliclinearactuator.Thehydraulicactuatorispoweredbyaconstantpressurehydraulicpump.Thevolumetricflowinthehydrauliccircuitiscontrolledbyaservovalve[8].
Theabovemanufacturingsystemhasthefollowingspecifications:
Thepositionsofboringspindlearesensedbythreemicrobreakers.Breaker(B)whichindicatesthattheboringspindleisattherearposition.Attherearpositiontherapidphasevalve(I)willbeswitchedoninordertoallowarapidforwardmotion(F)andthesignal(S)willswitchonthespindlemotor.Breaker(M)indicatesthattheboringspindlehasreachedthefeedingposition.Atthispositiontherapidphasevalvewillbeswitchedoffinordertostartacontrolledfeedforwardmotion.Thismotionisregulatedbytheservovalve(St).Breaker(€)whichindicatesthattheboringspindlehasreacheditsfinalposition,atthispositionandthebackwardmotion(R)willbegin,simultaneouslytherapidphasevalve(I)willbeswitchedoninordertoallowarapidbackwardmotion.Itisalsospecifiedthattherotatingspeedofthespindlemotorshouldbekeptat3000rpm.duringboringtheworkpieceandthefeedforwardspeedmustbekeptat2cm/secunderallloadingconditions.Ourobjectiveistosetupacompletemodelofthegivensystemusingmultidimensionalarraysandtocarryoutnecessaryexperimentsonthemodeltoverifythatspecificationsaresatisfied.
3.1PhysicalSystemModelling
Whenmodellingphysicalsystems,weareconcernedwithmodellingtheevolutionofthephysicalvariablesthatliveswithinthissystem.ThedecompositionofthephysicalsystemisshowninFigure3.
Thegroupsofbasicphysicalelementsareclassifiedintothreecategories:
Generalizedresistor:
examplesofthiscategoryare;
electricresistor,mechanicaldamper,andhydraulicresistor.Generalizedcapacitor:
electriccapacitor,mechanicalspring,andhydraulicreservoir.Generalizedinductorexamplesofthiscategoryare;
electricinductor,mechanicalmass,andhydraulicinductor.Breakingdownthephysicalsystemintosubsystemsandfurtherintobasicelementswillprovideuswithasharpinsightabouttheevolutionofthephysicalquantitieswithineachsubsystem,yieldingtobetterunderstandingofthemodesandthestatesthateachsubsystemwouldattain.Theadvantagesofhavingsuchinsightwillbecomevisibleduringthedesignphaseofalocalcontrolsystem.
Modellingcanbeconsideredastheoppositeprocedureofdecomposition.Thedifferenceisthat,indecomposition,wedividethesystemintoindependentphysicalentities,whileinmodellingwereconnectthemodelsofthesephysicalentities.Therefore,modellingcanbeseenastheprocedureofconnection.
Inmodelling,westartatthebottomlevelofthishierarchyandmoveupwards.Ateachlevel,wepropagatefromaprimitivesystemmodeltoaconnectedsystemmodel.Inthesucceedinglevel,theprimitivesystemmodelwouldthenbeestablishedbyaggregatingtheconnectedsystemmodelsfromtheformerlevelasshowninFigure4.
Atthebottomlevelofeachsubsystem,theprimitivesystemmodelwillbeestablishedbyutilizingthegoverningequationorthefundamentallawofeachindividualelement.Thatfundamentallaw,suchasNewton'
slaworOhm'
slaw,describesthelocalbehaviorofthatelement.Directandindirectconnectionsthatresembletheinternalconstraintswithintheboundariesofeachsubsystemdefinethetransformationfromtheprimitivesystemmodeltotheconnectedsystemmodel.Forsystemswithlinearconnectionssuchasdirectcurrentservomotor,theinternalconstraintsaregivenbyoneconnectionobject,thevelocityobject(V).Thevelocityobjectisa2-dimensionalarray,therowsinthatarraycorrespondtothevariablesintheprimitivesystem(localvariables)andthecolumnscorrespondtothevariablesintheconnectedsystem(globalvariables).Thus,thevelocityobjectisatransformationfromtheglobalvariablesintheconnectedsystemmodeltolocalvariablesintheprimitivesystemmodel.
Themodelofthephysicalsystemissetupbyaggregatingdiagonallytheconnectedsystemmodelsofthehydraulicsubsystemandtheboringspindle.Modellingthephysicalsystemresultedinasetofdifferentallalgebraicequations[7].Inastatespaceform,thebehaviorofthephysicalsystemisgivenby:
y=~(A,x,u,~)Where(x)isthesetofinitialstatevariables,(u)isthesetofinputsources,(A)isthestatetransitionmatrixforthephysicalspecificcontrolfunctionoftruthorfalsehood(10).