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外文资料--Kinematic Analysis and Test Study of Elliptic- Gear and Crank- Rocker Beating- Up.pdf

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外文资料--Kinematic Analysis and Test Study of Elliptic- Gear and Crank- Rocker Beating- Up.pdf

Receiveddate2010-01-19FoundationitemsNationalNaturalScienceFoundationofChinaNo.50875243;ZhejiangTechniqueInnovationGroupofModernTextileMachinery,ChinaNo.2009R50018;FoundationofEducationDepartmentofZhejiangProvince,ChinaNo.Y201019088;FoundationofNewTextileR&DEmphasisedLaboratoryofZhejiangProvince,ChinaNo.2009FZD004*CorrespondenceshouldbeaddressedtoCHENJian-neng,E-mailjiannengchenzstu.edu.cnKinematicAnalysisandTestStudyofElliptic-GearandCrank-RockerBeating-UpMechanismZHAOXiong赵雄,RENGen-yong任根勇,CHENJian-neng陈建能*CollegeofMechanicalEngineeringandAutomation,ZhejiangSci-TechUniversity,Hangzhou310018,ChinaAbstractInordertoanalyzethekinematicperformancesofelliptic-gearandcrank-rockerEGCRbeating-upmechanism,kinematicmathematicmodelsofthemechanismwereestablished,andanaidedanalysisandsimulationsoftwarewerecompiled.Thissoftwarecandisplaythekinematiccharacteristicsandsimulationmotionofthemechanismaccordingtodifferentparameters.Italsosuppliesaplatformforhuman-computerinteraction.Agroupofsatisfactoryparameterswereselectedbythesoftware.AtestbedofEGCRbeating-upmechanismwasdevelopedaccordingtotheseparameters.Thekinematicperformancesofthemechanismwereverifiedbyhigh-speedvideotaperecorder.Keywordsbeating-upmechanism;elliptic-gear;crank-rocker;kinematicsCLCnumberTS103.135DocumentcodeAArticleID1672-5220201102-0222-04IntroductionBeating-upmechanismisoneofthekeymechanismsofaloom.Itbeatstheweftwhichisinsertedbyweft-insertionmechanismtoformthefabric.Itsfunctionistotransformtheconstantspeedrotationoftheloom sspindletothenon-constantspeedreciprocatingswingofthesley.Inordertoallowtheweft-insertionmechanismtofinishinsertingthewefts,thesleyofthebeating-upmechanismshouldhaveadequatedwelltimeorrelativedwelltimeinthefrontposition.Theperformancesofbeating-upmechanismdeterminethefabric squality,andalsodecidethequalityandcompetitivenessofaloom[1].Nowadays,therearethreegeneralkindsofbeating-upmechanismsfour-barlinkagebeating-upmechanism,six-barlinkagebeating-upmechanism,andconjugatedcambeating-upmechanism.Generally,four-barlinkagebeating-upmechanismisthesimplestmechanismwith65-75relativedwelltime.Six-barlinkagebeating-upmechanismhasabout120relativedwelltime.Ithasmorehingeswhichproducelargercumulativeerrors.Thedwelltimeofconjugatedcammechanismis220-240,buttheconjugatedcammechanismneedsveryhighprecisionmachining.Iftherearesomeprocessingerrorsitwillcausecertainvibration[2-4].Inthispaper,anewtypeofbeating-upmechanismbasedonelliptic-gearandcrank-rockerEGCRwasproduced[5],anditskinematicmathematicmodelswereestablished.Atestbedwasdevelopedandthekinematicperformancesofthemechanismwereverifiedbyhigh-speedvideotaperecorder,whichdemonstratedthatthisnewmechanismcouldmeettherequirementsofweftbeating-up.1EGCRBeating-UpMechanismFigure1showstheEGCRbeating-upmechanisminitsinitialposition.Oisoneofthefocusesoftheactiveelliptic-gear1andtherotationcentreoftheloom sspindle.Aisoneofthefocusesandtherotationcentreofthedrivenelliptic-gear2.CrankABl1isfixedonthedrivenelliptic-gear.RockerCDl3isdrivenbyBCl2andswingsreciprocally.SleyDEl5isfixedwithCDbyaxisDandswingsreciprocallytogetherwithCD.Byoptimizingtheeccentricityktheratiooftheelliptic-gear sminorradiusbtomajorradiusa,theangleβtheincludedanglebetweenADl4andcrankABwhencrankABandlinkageBCarecollinear,thatisthesleyDEwillbeinthefrontposition,δtheincludedanglebetweenthemajoraxisoftheactiveelliptic-gearandAO,γtheincludedanglebetweenADandx-axis,andthelengthsoflinkagesincrank-rockermechanism,thekinematicperformancesofthisnovelbeating-upmechanismbecomeexcellent,whicharesimilartothoseoftheconjugatedcambeating-upmechanism.1Activeelliptic-gear;2Drivenelliptic-gear;DESleyFig.1EGCRbeating-upmechanismwithitsinitialposition2KinematicMathematicModelsofEGCRBeating-UpMechanism2.1Mathematicalmodelsofthedrivenelliptic-gearInFig.1,whentheactivegear1rotatesanticlockwiseataconstantspeed,gear2willrotateclockwiseatanon-constantspeed.Giventheangulardisplacementsoftheactivegear1φ1anddrivengear2φ2,thedistancefrommeshpointPtoaxisOisr1andPAisr2.Withcalculation,thenr1b2/accosφ1,1r2b2/accosφ2,2where,cisthedistancebetweentheelliptic-gearcenterandthefocus;φ1rangesfrom0to2π,andφ2from0to-2π[6].Accordingtothetransmissionprinciplesofelliptic-gearsr12a-r2,3222JournalofDonghuaUniversityEng.Ed.Vol.28,No.22011thatis,cosφ2accosφ1b22a22accosφ1-b2c-ac.4FromEq.4,therelationshipbetweenφ2andφ1canbeobtained.Accordingtotheprinciplesofgeartransmissionφ2φ1r1r2.5Giventhatthevelocityofactivegearisconstant,φ2φ1r1r2-r1r2r22-2ar2r22φ1.6TakingthederivativeofEqs.1and3,r1b2csinφ1accosφ12φ1andr2-r1,soinEq.6r2-b2csinφ1accosφ12φ1.72.2KinematicalmodelsofrockerCDSincethecrankisfixedonthedrivenelliptic-gear,itsangularvelocityandangularaccelerationarethesameasthoseofthedrivenelliptic-gear.Thatistosay,j1φ2,j1φ2,andj1βγφ2.FromFig.2,thefollowingequationscanbededuced[7].Fig.2Crank-rockermechanismj2arctanyC-yBxC-xB8j4arctanyB-yDxB-xD9j3arccosl32xD-xB2yD-yB2-l222l3xD-xB2yD-yB槡2j410j2VxBcosj3VyBsinj3l2sinj2-j311j3VxBcosj2VyBsinj2l3sinj2-j312j2c1cosj3c2sinj3l2sinj2-j313j3c1cosj2c2sinj2l3sinj2-j314InEqs.13and14,c1axBl3j23cosj3-l2j22cosj2,15c2ayBl3j23sinj3-l2j22sinj2.162.3KinematicmodelsofEinx-axisdirectiononthesleyDEDisplacementequationsxExDlDEcosj3-π.17VelocityequationVxElDEj3cosj3-π/2.18AccelerationequationaxElDEj32cosj3lDEj3jcosj3-π/2.193AidedAnalysisandSimulationSoftwareofMechanismandParameterOptimization3.1AidedanalyticalsoftwareThevisualizationofthemechanismisanalyzingandoptimizingprocessthatcandisplaymoreinformationoftheprocesstousers.Userscanobservethewholeprocessandfindouttheessentialparametersofthemechanism.Human-computerinteractionanalysisandoptimizationcombinethevirtuesofbothhumanandcomputers.Humanspossessthecapabilitiesofillegibleillation,judgmentandinnovation,whichcanhelptodisposerandomeventsaswell.Meanwhile,computersaregoodataccuratecalculationandrepeativework.Humanandcomputercanfullydisplaytheirrespectiveadvantagesinhuman-computerinteractionoptimization.Thussatisfactoryparameterscanbeeasilyachieved[8-10].BasedontheabovekinematicmodelsofEGCRbeating-upmechanism,anaidedanalysisandsimulationsoftwarearecompiledwhichisshowninFig.3.Itcanbeusedtoanalyzetheinfluencesofdifferentmechanismparametersandverifywhetherthereexistinterferencesamongthecomponentsofthemechanism.Fig.3AidedanalysisandsimulationsoftwareofmechanismWiththissoftware,userscaninputmechanismparameterssuchasa,k,γ,l1,l2,l3,l4,androtaryspeedoftheloom sspindle.Themechanismmotionsimulationwillbeshownontheleftoftheinterface;thedisplacement,velocity,andaccelerationcurvesofpointEwillbeshownrespectivelyontherightoftheinterface;theoptimalvalueofδwillbeshownontheleft-bottomoftheinterface.Thedisplacementcurveshowsthatdwelltimeintherearpositiondecreasesaskincreases;322JournalofDonghuaUniversityEng.Ed.Vol.28,No.22011meanwhiletheaccelerationcurveshowsthatthemaximalaccelerationalsodecreasesaskincreases.Forkinematicperformancesofthemechanism,kneedstobeoptimizedaccordingtotherequirementsofthebeating-upweft;l1,l2,l3,andl4alsoneedtobemodifiedbytheuserincompanywithk,soastoachieveidealkinematicperformances.3.2OptimizationresultsanalysisOneofthemostimportantperformancesofbeating-upmechanismisthedwelltimeofsley.Increasingmechanismparameterkcanprolongdwelltime,meantimethemaximalaccelerationincreasesremarkably,andtheoversizefluctuationofaccelerationwilldegrademechanismdynamicperformance.Designermustthereforemakeabalancebetweenprolongingdwelltimeandcontrollingaccelerationfluctuation.Withtheaboveaidedanalysisandsimulationsoftware,agroupofparameterswasobtainedδ4,k0.85,γ135,a71.233mm,l140mm,l2100mm,l3180mm,l4199mm,andlDE189.5mm.Basedontheseparameters,whentheloomhasaspeedof300r/min,thekinematicalcurveofthebeatingpointEisshowninFig.4.Whenthebeating-upmechanismisontherearposition,thedisplacementcurveisalmostflat.Thedwelltimeofsleyiscloseto200rangingfrom92to285,whichwillnotleadtointerferenceofthebeating-upmechanismandweft-insertionmechanism.Inaddition,duringthisperiod,thecurvesofthevelocityandaccelerationofthesleyarealmostcloseto0.Thereforeitwillnotcausevibration,whichwillbenefittheweft senteryandexitfromshed.Attheendofthebeating-up,themaximaldisplacementis85mmandthemaximalaccelerationis615.8434m/s2,whichbothcanmeettherequirementsofthebeating-upweft.Fig.4ThekinematiccurvesofEGCRbeating-upmechanism4TestStudyBasedontheaboveparameters,atestbedofEGCRbeating-upmechanismisdevelopedFig.5.Usingthehigh-speedvideotaperecorderandvideoanalysissoftwareBlaster sMAS,thedisplacementandvelocityareobtainedwithloomspindle srotaryspeedat100r/min.TheoreticalandexperimentaldisplacementsofbeatingpointEareshowninFig.6,andtheoreticalandexperimentalvelocitiesofbeatingpointEareshowninFig.7.Theactualmeasureddisplacementcurveisconsistentwiththetheoreticalone,buttheactualmeasuredvelocitycurveshowssomefluctuation.Therearetworeasonsforthisfindingthegapamongthecomponentsofthemechanismcausesvibration;thevideoanalysiscontainserrors.422JournalofDonghuaUniversityEng.Ed.Vol.28,No.220115Conclusions1Inthispaper,theEGCRbeating-upmechanismhadbeenproduced.Itskinematicmathematicmodelshadbeenestablishedandanaidedanalysisandsimulationsoftwarehadbeencompiledbyvisualbasic.Agroupofsatisfactoryparametershadbeengotbythissoftware.2AtestbedoftheEGCRbeating-upmechanismwasdeveloped.Withthevideotaperecorder,itskinematicperformanceswereverified.Thisdemonstratedthevalidityofthemodelsandthefeasibilityofthemechanism.References[1]ZhuSK,GaoWD.WeavingMachine[M].2nded.BeijingChinaTextile&ApparelPress,2004267-268.inChinese[2]LiangHS,HuQE,WangGC,etal.TheFuzzyOptimizationDesignoftheFour-LinkWeftBeat-UpMechanism[J].MachineDesignandResearch,2005,21272-75.inChinese[3]MaSP.OptimalDesignandSimulationon6-LinkBeatingConstructionBasedonMATLAB[J].JournalofTextileResearch,2006,27340-43.inChinese[4]ZhengZY.AnalysisofBeating-UpMechanismofTT96RapierLoom[J].JournalofTextileResearch,2004,25473-74.inChinese[5]ZhejiangSci-TechUniversity.WeftInsertingandBeating-UpMechanismwithElliptic-Gear&Crank-RockerCN,200810162178.0[P].2008-11-18.inChinese[6]ChenJN,ZhaoX,XuB,etal.EstablishmentofKinematicsModelsandPerformanceAnalysisofElliptic-Gear&Crank-RockerWeftInsertionMechanism[J].ChinaMechanicalEngineering,2007,18192294-2297.inChinese[7]ZhaoY.MechanismMathematicsAnalysesandSynthesis[M].BeijingChinaMachinePress,2005177-181.inChinese[8]YangCJ,ChenY,LuYX.StudyontheHuman-MachineIntelligentSystemandItsApplication[J].ChineseJournalofMechanicalEngineering,2000,36642-47.inChinese[9]TengHF,WangYS,ShiYJ.KeySupportingTechniquesofHuman-ComputerCooperation[J].ChineseJournalofMechanicalEngineering,2006,42111-9.inChinese[10]LiuJ,TengHF,QuFZ.InterfaceofHuman-ComputerInteractiveGeneticAlgorithm[J].JournalofDalianUniversityofTechnology,2005,45158-63.inChinese522JournalofDonghuaUniversityEng.Ed.Vol.28,No.22011

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