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Chapter10SpatialMechanismsandRoboticMechanisms1.SpatialKinematicalPairs(1)ClassⅠkinematicpairsAsphereisplacedonanevenplaneshowninFig10-1a.
(2)ClassⅡkinematicpairsEachclassⅡkinematicpairofferstwoconstraintsandhasfourdegreesoffreedom.Fig.10-1bshowsacylinderplanepairwhichconstrainsthetranslationalmotionalongthezaxisandtherotationalmotionaboutthexaxis.
10.1IntroductionofSpatialMechanismsFig.10-1Spatialkinematicpairs1(空间运动副1)(3)ClassⅢkinematicpairsEachclassⅢkinematicpairoffersthreeconstraintsandthreedegreesoffreedom.Fig.10-2ashowsasphericalpairwhichconstrainstranslationalmotionsalongthex,yandzaxeswhileoffersthreerotationalmotionsabouttheseaxes,denotedasS.Fig.10-2bshowsthesketchdiagramofthesphericalpair.Thispairiswidelyusedinspatialmechanisms.
Fig.10-2Spatialkinematicpairs2(空间运动副2)(4)ClassⅣkinematicpairsEveryclassⅣkinematicpairoffersfourconstraintsandtwodegreesoffreedom.Fig.10-3ashowsaspherepinpairwhichhasonlytworotationaldegreesoffreedombecauseoftheconstraintofthepin.ThespherepinpairisdenotedasS′.Fig.10-3bisitssketchdiagram.Fig10-cshowsacylinderpairwhichpermitsthetranslationalmotionalongitsaxesandtherotationalmotionaboutthesameaxis.Fig10-dshowsitssketchdiagramanddenotedasC.
Fig.10-3Spatialkinematicpairs3(空间运动副3)(5)ClassⅤkinematicpairsAclassⅤkinematicpairoffersfiveconstraintsandonedegreeoffreedom.Fig10-4ashowsarevolutepairwhichhasonlyonerotationaldegreeoffreedom.Fig10-4bisitssketch,denotedasR.Fig10-4cshowsaprismaticpairwhichhasonlyonedegreeoffreedomthatpermitsittoexecutetranslationalmotionalongtheaxes,denotedasP.Fig.10-4dshowsitssketch.Fig10-4eshowsahelicalpairwhichpermitsthetranslationalmotionalongitsaxisandtherotationalmotionaboutthesameaxis.Fig.10-4Spacialkinematicpairs4(空间运动副4)2.DegreesofFreedomofSpatialMechanismsWeassumethatthereareclassⅠkinematicpairsofp1,sotheycanofferconstraintsof1p1.Similarly,classⅡkinematicpairsofp2canofferconstraintsof2p2,classⅢkinematicpairsofp3canofferconstraintsof3p3,classⅣkinematicpairsofp4canofferconstraintsof4p4,andclassⅤkinematicpairsofp5canofferconstraintsof5p5.Therefore,thedegreeoffreedomofspatialmechanismscanbewrittenasfollows:Fig.10-5Aircraftundercarriage(飞机起落架)3.ClassificationofSpatialMechanism(1)ExpressionofspatialmechanismTheplanarmechanismsarenamedbytheirkinematicalcharacters,suchascrankrockermechanism,slidercrankmechanism,doublecrankmechanismandsoon.Generally,wenamethespatialmechanismsbythenamesoftheirkinematicpairs.Thefirstalphabetisthesymbolofthekinematicpairwhichconnectsthedrivinglinkandframe,thenwecanarrangethesymbolsofotherkinematicpairsorderly.Fig.10-5showsanaircraftundercarriagewhichcanbenamedasthespatialmechanismofSPSR.
(2)ClassificationofspatialmechanismsThespatialmechanismsareclassifiedasclosedchainmechanismsandopenchainmechanisms,accordingtothekinematicalchainisclosedoropen.Theopenchainmechanismsarewidelyappliedtotherobotfield.Fig.10-6ashowsaRSSRmechanism,inwhichlinks1,2,3andthefixedlink4areconnectedbyrevolutepairsandsphericalpairs.Itisaclosedspatialmechanism.Fig.10-6bshowsa4Ropenchainmechanisminwhichthefixedlink1andlinks2,3,4,5areconnectedbyfourrevolutepairs,anditisanunclosedspatialmechanism.Fig.10-6Classificationofspatialmechanisms(空间机构分类)Example10-1Fig.10-7ashowsaR3Cmechanism.Calculatethedegreesoffreedomofthemechanism.Fig.10-7D.O.Fofspatialmechanisms(空间机构的自由度)4.DegreesofFreedomofSpatialMechanismsExample10-2Fig.10-7bshowsaRSSRmechanism.Calculatethedegreesoffreedomofthismechanism.Example10-3Fig.10-8showsaopenlinkrobotmechanism.Calculatethedegreesoffreedomofthismechanism.Fig.10-8Openlinkrobotmechanism
(开链机器人机构)1.TandemRobotMechanismsFig.10-9Tandemrobotmechanism(串联机器人机构)
1—Wristjoint(腕关节)2—Elbowjoint(肘关节)3—Shoulderjoint(肩关节)
4—Waistjoint(腰关节)5—Base(底座)10.2IntroductionofRoboticMechanisms
Fig.10-9ashowsa3Rrobot,whichconsistsofthreerevolutepairsandthreelinks.Atandemrobotusuallyhasfiveparts;theyarebase,waist,shoulder,elbowandwrist.Accordingly,therearefourkinematicpairswhichcontainwaist,shoulder,elbowandwristjoint.Fig.10-9bisthesketchdiagram.2.ParallelRobotMechanismsFig.10-10Parallelrobotmechanisms(并联机器人机构)Fig.10-10ashowsaplanarparallelmechanisminwhichthreeinputlinksdrivethemovingplatform1toperformdesiredmotion.Thisiscalled3RRRplanarparallelmechanism,andithasawidelyuseinmicromechanisms.Fig.10-10bshowsaspatialparallelrobotmechanism.Itiscalled3RPSparallelrobotmechanism.Thereisonedegreeoffreedomineverybranch.Comparedwiththetandemrobot,thisparallelrobothasabetterrigiditybutitsworkspaceissmaller.3.ApplicationsofRobotictMechanisms
Robotsaretypicalelectromechanicalproductswhichhaveaverywidelyapplication.Robotscanbeclassifiedbytheirworkingpurposes,suchasindustrialrobots,medicalrobots,servicerobots,militaryrobots,toyrobotsandsoon.Industrialrobotshavebeenusedinautomaticproductionfield.Medicalrobotshavebeenwidelyusedinsurgery.Chapter11DesignofMechanismSystems1.SimpleMechanismSystemConsistingofaSingleMechanism11.1IntroductionofMechanismSystems
Whendesigningasimplemechanismsystem,methodsofevolutionandmutationcouldprovideanapproachforcreatingnewmachines.Forexample,Fig11-1ashowsthesketchdiagramofashearingmachine.ThepinoftherevolutepairBandthedimensionoftheprismaticpairCareenlargedenoughtoobtainashearingmachineshowedinFig11-1b.Fig.11-1Shearingmachine
(剪床机构)2.ComplexMechanismSystemConsistingofIndependentMechanismsFig.11-2Motionharmonizationofmechanism
(机构运动的协调)Fig.11-2showsahydraulicmechanismsysteminwhichthehydrocylinder1and2willoperateindependently.Thehydrocylinder1willtransferaworkpiecefromposition1toposition2,thenhydrocylinder2willtransfertheworkpiecetoposition3.Atthistimehydrocylinder1mustgobacktoitsinitialposition.3.ComplexMechanismSystemConsistingofMechanismsConnectedbyEachOther
Fig11-3showsacomplexmechanismsystem,inwhichbeltmechanism,wormmechanism,cammechanism,linkagemechanismareconnectedinseries.Itcouldclipandfeedautomatically.
Fig.11-3Automaticfeedingmachine
(自动送料机)1.MotionHarmonizationofaMechanismSystemFig.11-4Punchingmechanism
(压力机机构)11.2HarmonizationDesignofMechanismMotions
Fig.11-4showsapunchingmachineinwhichtheactionoftheslidercrankmechanismABCisusedtopunchandtheslidercrankmechanismFGHisusedtofeed.Whenthepunchingheadgoesupafterfinishingapunchingprocess,thefeedingmechanismstartstofeed.Besides,thefeedingmechanismmustcompletefeedingandreturntoitsinitialposition,andthenthepunchingheadwillbegintopunch.2.DesignofMotionCirculationDiagram
Fig.11-5showsthemotioncirculationdiagramofapunchingmechanism.Inthefigure,theabscissaaxisindicatesthemotioncycleoftheactuatorsandtheordinateaxisindicatesthemotionstatusoftheactuators.Everymotionstatusofmechanismscanbeexpressedinthismotioncirculationdiagram.
Fig.11-5Motioncirculationdiagramofapunchingmachine
(压力机机构的运动循环图)3.KeyPointsforDesigningMechanismSystems1)Choosesimplemechanismstosatisfythemechanicalfunctions.2)Sketchupthemotioncirculationdiagram.3)Synthesizethesimplemechanisms,anddeterminetheirdimensions.4)Determinetheconnectionmethodsandsizesofallmechanisms.5)Simulateandinspectthereliabilityofmotionharmonization.6)Optimizethesizesandthepositionsofthemechanismsrepeatedly,untiltheycansatisfytherequirements.1.ConnectionBasicLinkGroupsFig.11-6Connectingbasiclinkgroups(基本杆组)11.3CombinedMethodsofMechanismSystemsInFig11-6a,theoutsidepairsBandDoftheclassⅡlinkgroupBCDareconnectedtothedrivinglinkABandtheframe,andweobtainafourbarlinkageABCD.IftheoutsidepairsEandFofanotherclassⅡlinkgroupareconnectedtothelinkDCandtheframe,asixlinkmechanismwouldbeobtainedshowedinFig11-6a.IftheoutsidepairsBandDareconnectedtotwodrivinglinks,wecangetaparallelmechanismwithtwodegreesoffreedomshowninFig11-6b.
2.TandemConnectionofSimpleMechanismsFig.11-7Mechanismsintandemconnection1(机构的串联组合1)
Fig11-7ashowsagearlinkagesystem,inwhichthedrivengearisconnectedrigidlytothedrivingcrankofthecrankrockermechanism.Thismechanismsystemcanreducethespeedofthelinkagemechanism.Fig11-7bshowsanothergearlinkagesystem,inwhichtheinternalgearofthegearsisconnectedrigidlytothecoupleroftheparallelogrammechanismABCD.Fig.11-8Mechanismsintandemconnection2(机构的串联组合2)
Fig11-8ashowsatandemmechanismsysteminwhichtheguiderofthecrankguiderbarmechanismisconnectedtothecrankoftheslidercrankmechanism.Thesliderwouldhaveaspecialmotioncharacteristic.Fig.11-8bshowsatandemsystemconsistingofagearmechanismandacammechanism.3.ParallelConnectionofSimpleMechanismsParallelconnectionsarewidelyusedinengineering.InFig.11-9a,twoparallelhydrauliccylindermechanismsdriveadumpbucketofatrucktogether.Fig.11-9bshowsaparallelgearmechanisminwhichthemotionofdrivingshaftisresolvedintothemotionsofshaftsⅠ,Ⅱ,Ⅲ,Ⅳ,ⅤandⅥ.
Fig.11-9Mechanismsinparallelconnection1(机构并联组合1)Fig.11-10ashowsaninternalcombustionengine,inwhichtheslidercrankmechanismsareinlinearrangementtoV.Thepistonsaredrivinglinksanddrivethecrankshafttorotate.Fig.11-10bshowsanothercombustionengine,inwhichtheslidercrankmechanismsareradialarrangement.Fourslidercrankmechanismsdrivethecrankshafttorotate.Fig.11-10Mechanismsinparallelconnection2(机构并联组合2)Fig.11-11Mechanismsinparallel
connection3(机构并联组合3)InFig.11-11,themotionoftheelectricmotorisseparatedintotwobranches;intheendtheywillbesynthesizedtobeonerotationofthewormgearagain.Thisparallelmechanismcanenhancetheoutputcapacityofthewormgear.Inengineering,weusuallytaketandemmechanismsasthebranchesofparallelmechanismsystems.Fig.11-11showsanexamplethatbothgearmechanismsaretandemconnections.Combinationsoftandemconnectionsandparallelmechanismsareverycommoninmechanismsystems.4.SuperpositionofSimpleMechanismsFig.11-12Mechanismsinsuperposedconnection1(机构叠加组合1)Fig.11-12ashowsahydraulicexcavator,inwhichaguiderbarmechanismislocatedontheturntable1.Arm4isdrivenbyhydrauliccylinder2androd3.Anotherhydraulicmechanismissu
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