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，ChinaAbstractInordertoanalyzethekinematicperancesofelliptic-gearandcrank-rockerEGCRbeating-upmechanism，kinematicmathematicmodelsofthemechanismwereestablished，andanaidedanalysisandsimulationsoftwarewerecompiled．Thissoftwarecandisplaythekinematiccharacteristicsandsimulationmotionofthemechanismaccordingtodifferentparameters．Italsosuppliesaplatforhuman-computerinteraction．Agroupofsatisfactoryparameterswereselectedbythesoftware．AtestbedofEGCRbeating-upmechanismwasdevelopedaccordingtotheseparameters．Thekinematicperancesofthemechanismwereverifiedbyhigh-speedvideotaperecorder．Keywordsbeating-upmechanism；elliptic-gear；crank-rocker；kinematicsCLCnumberTS103．135DocumentcodeAArticleID1672-5220201102-0222-04IntroductionBeating-upmechanismisoneofthekeymechanismsofaloom．Itbeatstheweftwhichisinsertedbyweft-insertionmechanismtothefabric．Itsfunctionistotranstheconstantspeedrotationoftheloom sspindletothenon-constantspeedreciprocatingswingofthesley．Inordertoallowtheweft-insertionmechanismtofinishinsertingthewefts，thesleyofthebeating-upmechanismshouldhaveadequatedwelltimeorrelativedwelltimeinthefrontposition．Theperancesofbeating-upmechanismdeterminethefabric squality，andalsodecidethequalityandcompetitivenessofaloom［1］．Nowadays，therearethreegeneralkindsofbeating-upmechanismsfour-barlinkagebeating-upmechanism，six-barlinkagebeating-upmechanism，andconjugatedcambeating-upmechanism．Generally，four-barlinkagebeating-upmechanismisthesimplestmechanismwith65°-75°relativedwelltime．Six-barlinkagebeating-upmechanismhasabout120°relativedwelltime．Ithasmorehingeswhichproducelargercumulativeerrors．Thedwelltimeofconjugatedcammechanismis220°-240°，buttheconjugatedcammechanismneedsveryhighprecisionmachining．Iftherearesomeprocessingerrorsitwillcausecertainvibration［2-4］．Inthispaper，anewtypeofbeating-upmechanismbasedonelliptic-gearandcrank-rockerEGCRwasproduced［5］，anditskinematicmathematicmodelswereestablished．Atestbedwasdevelopedandthekinematicperancesofthemechanismwereverifiedbyhigh-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，thekinematicperancesofthisnovelbeating-upmechanismbecomeexcellent，whicharesimilartothoseoftheconjugatedcambeating-upmechanism．1Activeelliptic-gear；2Drivenelliptic-gear；DESleyFig．1EGCRbeating-upmechanismwithitsinitialposition2KinematicMathematicModelsofEGCRBeating-UpMechanism2．1Mathematicalmodelsofthedrivenelliptic-gearInFig．1，whentheactivegear1rotatesanticlockwiseataconstantspeed，gear2willrotateclockwiseatanon-constantspeed．Giventheangulardisplacementsoftheactivegear1φ1anddrivengear2φ2，thedistancefrommeshpointPtoaxisOisr1andPAisr2．Withcalculation，thenr1b2/ac·cosφ1，1r2b2/ac·cosφ2，2where，cisthedistancebetweentheelliptic-gearcenterandthefocus；φ1rangesfrom0to2π，andφ2from0to－2π［6］．Accordingtothetransmissionprinciplesofelliptic-gearsr12a－r2，3222JournalofDonghuaUniversityEng．Ed．Vol．28，No．22011thatis，cosφ2ac·cosφ1b22a22ac·cosφ1－b2c－ac．4FromEq．4，therelationshipbetweenφ2andφ1canbeobtained．Accordingtotheprinciplesofgeartransmissionφ·2φ·1·r1r2．5Giventhatthevelocityofactivegearisconstant，φ¨2φ·1·r·1r2－r1r·2r22－2ar·2r22·φ·1．6TakingthederivativeofEqs．1and3，r·1b2·c·sinφ1ac·cosφ12·φ·1andr·2－r·1，soinEq．6r·2－b2·c·sinφ1ac·cosφ12·φ·1．72．2KinematicalmodelsofrockerCDSincethecrankisfixedonthedrivenelliptic-gear，itsangularvelocityandangularaccelerationarethesameasthoseofthedrivenelliptic-gear．Thatistosay，j·1φ·2，j¨1φ¨2，andj1βγφ2．FromFig．2，thefollowingequationscanbededuced［7］．Fig．2Crank-rockermechanismj2arctanyC－yBxC－xB8j4arctanyB－yDxB－xD9j3arccosl32xD－xB2yD－yB2－l222l3xD－xB2yD－yB槡2j410j·2VxB·cosj3VyB·sinj3l2·sinj2－j311j·3VxB·cosj2VyB·sinj2l3·sinj2－j312j··2c1·cosj3c2·sinj3l2·sinj2－j313j··3c1·cosj2c2·sinj2l3·sinj2－j314InEqs．13and14，c1axBl3·j·23·cosj3－l2·j·22·cosj2，15c2ayBl3·j·23·sinj3－l2·j·22·sinj2．162．3KinematicmodelsofEinx-axisdirectiononthesleyDEDisplacementequationsxExDlDE·cosj3－π．17VelocityequationVxElDE·j·3·cosj3－π/2．18AccelerationequationaxElDE·j·32·cosj3lDE·j··3j·cosj3－π/2．193AidedAnalysisandSimulationSoftwareofMechanismandParameterOptimization3．1AidedanalyticalsoftwareThevisualizationofthemechanismisanalyzingandoptimizingprocessthatcandisplaymoreinationoftheprocesstousers．Userscanobservethewholeprocessandfindouttheessentialparametersofthemechanism．Human-computerinteractionanalysisandoptimizationcombinethevirtuesofbothhumanandcomputers．Humanspossessthecapabilitiesofillegibleillation，judgmentandinnovation，whichcanhelptodisposerandomeventsaswell．Meanwhile，computersaregoodataccuratecalculationandrepeativework．Humanandcomputercanfullydisplaytheirrespectiveadvantagesinhuman-computerinteractionoptimization．Thussatisfactoryparameterscanbeeasilyachieved［8-10］．BasedontheabovekinematicmodelsofEGCRbeating-upmechanism，anaidedanalysisandsimulationsoftwarearecompiledwhichisshowninFig．3．Itcanbeusedtoanalyzetheinfluencesofdifferentmechanismparametersandverifywhetherthereexistinterferencesamongthecomponentsofthemechanism．Fig．3AidedanalysisandsimulationsoftwareofmechanismWiththissoftware，userscanmechanismparameterssuchasa，k，γ，l1，l2，l3，l4，androtaryspeedoftheloom sspindle．Themechanismmotionsimulationwillbeshownontheleftoftheinterface；thedisplacement，velocity，andaccelerationcurvesofpointEwillbeshownrespectivelyontherightoftheinterface；theoptimalvalueofδwillbeshownontheleft-bottomoftheinterface．Thedisplacementcurveshowsthatdwelltimeintherearpositiondecreasesaskincreases；322JournalofDonghuaUniversityEng．Ed．Vol．28，No．22011meanwhiletheaccelerationcurveshowsthatthemaximalaccelerationalsodecreasesaskincreases．Forkinematicperancesofthemechanism，kneedstobeoptimizedaccordingtotherequirementsofthebeating-upweft；l1，l2，l3，andl4alsoneedtobemodifiedbytheuserincompanywithk，soastoachieveidealkinematicperances．3．2OptimizationresultsanalysisOneofthemostimportantperancesofbeating-upmechanismisthedwelltimeofsley．Increasingmechanismparameterkcanprolongdwelltime，meantimethemaximalaccelerationincreasesremarkably，andtheoversizefluctuationofaccelerationwilldegrademechanismdynamicperance．Designermustthereforemakeabalancebetweenprolongingdwelltimeandcontrollingaccelerationfluctuation．Withtheaboveaidedanalysisandsimulationsoftware，agroupofparameterswasobtainedδ4°，k0．85，γ135°，a71．233mm，l140mm，l2100mm，l3180mm，l4199mm，andlDE189．5mm．Basedontheseparameters，whentheloomhasaspeedof300r/min，thekinematicalcurveofthebeatingpointEisshowninFig．4．Whenthebeating-upmechanismisontherearposition，thedisplacementcurveisalmostflat．Thedwelltimeofsleyiscloseto200°rangingfrom92°to285°，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，itskinematicperanceswereverified．Thisdemonstratedthidityofthemodelsandthefeasibilityofthemechanism．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．EstablishmentofKinematicsModelsandPeranceAnalysisofElliptic-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