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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

RECEIVEDDATE20100119FOUNDATIONITEMSNATIONALNATURALSCIENCEFOUNDATIONOFCHINANO.50875243;ZHEJIANGTECHNIQUEINNOVATIONGROUPOFMODERNTEXTILEMACHINERY,CHINANO.2009R50018;FOUNDATIONOFEDUCATIONDEPARTMENTOFZHEJIANGPROVINCE,CHINANO.Y201019088;FOUNDATIONOFNEWTEXTILER&DEMPHASISEDLABORATORYOFZHEJIANGPROVINCE,CHINANO.2009FZD004CORRESPONDENCESHOULDBEADDRESSEDTOCHENJIANNENG,EMAILJIANNENGCHENZSTU.EDU.CNKINEMATICANALYSISANDTESTSTUDYOFELLIPTICGEARANDCRANKROCKERBEATINGUPMECHANISMZHAOXIONG赵雄,RENGENYONG任根勇,CHENJIANNENG陈建能COLLEGEOFMECHANICALENGINEERINGANDAUTOMATION,ZHEJIANGSCITECHUNIVERSITY,HANGZHOU310018,CHINAABSTRACTINORDERTOANALYZETHEKINEMATICPERFORMANCESOFELLIPTICGEARANDCRANKROCKEREGCRBEATINGUPMECHANISM,KINEMATICMATHEMATICMODELSOFTHEMECHANISMWEREESTABLISHED,ANDANAIDEDANALYSISANDSIMULATIONSOFTWAREWERECOMPILED.THISSOFTWARECANDISPLAYTHEKINEMATICCHARACTERISTICSANDSIMULATIONMOTIONOFTHEMECHANISMACCORDINGTODIFFERENTPARAMETERS.ITALSOSUPPLIESAPLATFORMFORHUMANCOMPUTERINTERACTION.AGROUPOFSATISFACTORYPARAMETERSWERESELECTEDBYTHESOFTWARE.ATESTBEDOFEGCRBEATINGUPMECHANISMWASDEVELOPEDACCORDINGTOTHESEPARAMETERS.THEKINEMATICPERFORMANCESOFTHEMECHANISMWEREVERIFIEDBYHIGHSPEEDVIDEOTAPERECORDER.KEYWORDSBEATINGUPMECHANISM;ELLIPTICGEAR;CRANKROCKER;KINEMATICSCLCNUMBERTS103.135DOCUMENTCODEAARTICLEID16725220201102022204INTRODUCTIONBEATINGUPMECHANISMISONEOFTHEKEYMECHANISMSOFALOOM.ITBEATSTHEWEFTWHICHISINSERTEDBYWEFTINSERTIONMECHANISMTOFORMTHEFABRIC.ITSFUNCTIONISTOTRANSFORMTHECONSTANTSPEEDROTATIONOFTHELOOMSSPINDLETOTHENONCONSTANTSPEEDRECIPROCATINGSWINGOFTHESLEY.INORDERTOALLOWTHEWEFTINSERTIONMECHANISMTOFINISHINSERTINGTHEWEFTS,THESLEYOFTHEBEATINGUPMECHANISMSHOULDHAVEADEQUATEDWELLTIMEORRELATIVEDWELLTIMEINTHEFRONTPOSITION.THEPERFORMANCESOFBEATINGUPMECHANISMDETERMINETHEFABRICSQUALITY,ANDALSODECIDETHEQUALITYANDCOMPETITIVENESSOFALOOM[1].NOWADAYS,THEREARETHREEGENERALKINDSOFBEATINGUPMECHANISMSFOURBARLINKAGEBEATINGUPMECHANISM,SIXBARLINKAGEBEATINGUPMECHANISM,ANDCONJUGATEDCAMBEATINGUPMECHANISM.GENERALLY,FOURBARLINKAGEBEATINGUPMECHANISMISTHESIMPLESTMECHANISMWITH6575RELATIVEDWELLTIME.SIXBARLINKAGEBEATINGUPMECHANISMHASABOUT120RELATIVEDWELLTIME.ITHASMOREHINGESWHICHPRODUCELARGERCUMULATIVEERRORS.THEDWELLTIMEOFCONJUGATEDCAMMECHANISMIS220240,BUTTHECONJUGATEDCAMMECHANISMNEEDSVERYHIGHPRECISIONMACHINING.IFTHEREARESOMEPROCESSINGERRORSITWILLCAUSECERTAINVIBRATION[24].INTHISPAPER,ANEWTYPEOFBEATINGUPMECHANISMBASEDONELLIPTICGEARANDCRANKROCKEREGCRWASPRODUCED[5],ANDITSKINEMATICMATHEMATICMODELSWEREESTABLISHED.ATESTBEDWASDEVELOPEDANDTHEKINEMATICPERFORMANCESOFTHEMECHANISMWEREVERIFIEDBYHIGHSPEEDVIDEOTAPERECORDER,WHICHDEMONSTRATEDTHATTHISNEWMECHANISMCOULDMEETTHEREQUIREMENTSOFWEFTBEATINGUP.1EGCRBEATINGUPMECHANISMFIGURE1SHOWSTHEEGCRBEATINGUPMECHANISMINITSINITIALPOSITION.OISONEOFTHEFOCUSESOFTHEACTIVEELLIPTICGEAR1ANDTHEROTATIONCENTREOFTHELOOMSSPINDLE.AISONEOFTHEFOCUSESANDTHEROTATIONCENTREOFTHEDRIVENELLIPTICGEAR2.CRANKABL1ISFIXEDONTHEDRIVENELLIPTICGEAR.ROCKERCDL3ISDRIVENBYBCL2ANDSWINGSRECIPROCALLY.SLEYDEL5ISFIXEDWITHCDBYAXISDANDSWINGSRECIPROCALLYTOGETHERWITHCD.BYOPTIMIZINGTHEECCENTRICITYKTHERATIOOFTHEELLIPTICGEARSMINORRADIUSBTOMAJORRADIUSA,THEANGLEΒTHEINCLUDEDANGLEBETWEENADL4ANDCRANKABWHENCRANKABANDLINKAGEBCARECOLLINEAR,THATISTHESLEYDEWILLBEINTHEFRONTPOSITION,ΔTHEINCLUDEDANGLEBETWEENTHEMAJORAXISOFTHEACTIVEELLIPTICGEARANDAO,ΓTHEINCLUDEDANGLEBETWEENADANDXAXIS,ANDTHELENGTHSOFLINKAGESINCRANKROCKERMECHANISM,THEKINEMATICPERFORMANCESOFTHISNOVELBEATINGUPMECHANISMBECOMEEXCELLENT,WHICHARESIMILARTOTHOSEOFTHECONJUGATEDCAMBEATINGUPMECHANISM.1ACTIVEELLIPTICGEAR;2DRIVENELLIPTICGEAR;DESLEYFIG.1EGCRBEATINGUPMECHANISMWITHITSINITIALPOSITION2KINEMATICMATHEMATICMODELSOFEGCRBEATINGUPMECHANISM2.1MATHEMATICALMODELSOFTHEDRIVENELLIPTICGEARINFIG.1,WHENTHEACTIVEGEAR1ROTATESANTICLOCKWISEATACONSTANTSPEED,GEAR2WILLROTATECLOCKWISEATANONCONSTANTSPEED.GIVENTHEANGULARDISPLACEMENTSOFTHEACTIVEGEAR1Φ1ANDDRIVENGEAR2Φ2,THEDISTANCEFROMMESHPOINTPTOAXISOISR1ANDPAISR2.WITHCALCULATION,THENR1B2/ACCOSΦ1,1R2B2/ACCOSΦ2,2WHERE,CISTHEDISTANCEBETWEENTHEELLIPTICGEARCENTERANDTHEFOCUS;Φ1RANGESFROM0TO2Π,ANDΦ2FROM0TO-2Π[6].ACCORDINGTOTHETRANSMISSIONPRINCIPLESOFELLIPTICGEARSR12A-R2,3222JOURNALOFDONGHUAUNIVERSITYENG.ED.VOL.28,NO.22011THATIS,COSΦ2ACCOSΦ1B22A22ACCOSΦ1-B2C-AC.4FROMEQ.4,THERELATIONSHIPBETWEENΦ2ANDΦ1CANBEOBTAINED.ACCORDINGTOTHEPRINCIPLESOFGEARTRANSMISSIONΦ2Φ1R1R2.5GIVENTHATTHEVELOCITYOFACTIVEGEARISCONSTANT,Φ2Φ1R1R2-R1R2R22-2AR2R22Φ1.6TAKINGTHEDERIVATIVEOFEQS.1AND3,R1B2CSINΦ1ACCOSΦ12Φ1ANDR2-R1,SOINEQ.6R2-B2CSINΦ1ACCOSΦ12Φ1.72.2KINEMATICALMODELSOFROCKERCDSINCETHECRANKISFIXEDONTHEDRIVENELLIPTICGEAR,ITSANGULARVELOCITYANDANGULARACCELERATIONARETHESAMEASTHOSEOFTHEDRIVENELLIPTICGEAR.THATISTOSAY,J1Φ2,J1Φ2,ANDJ1ΒΓΦ2.FROMFIG.2,THEFOLLOWINGEQUATIONSCANBEDEDUCED[7].FIG.2CRANKROCKERMECHANISMJ2ARCTANYC-YBXC-XB8J4ARCTANYB-YDXB-XD9J3ARCCOSL32XD-XB2YD-YB2-L222L3XD-XB2YD-YB槡2J410J2VXBCOSJ3VYBSINJ3L2SINJ2-J311J3VXBCOSJ2VYBSINJ2L3SINJ2-J312J2C1COSJ3C2SINJ3L2SINJ2-J313J3C1COSJ2C2SINJ2L3SINJ2-J314INEQS.13AND14,C1AXBL3J23COSJ3-L2J22COSJ2,15C2AYBL3J23SINJ3-L2J22SINJ2.162.3KINEMATICMODELSOFEINXAXISDIRECTIONONTHESLEYDEDISPLACEMENTEQUATIONSXEXDLDECOSJ3-Π.17VELOCITYEQUATIONVXELDEJ3COSJ3-Π/2.18ACCELERATIONEQUATIONAXELDEJ32COSJ3LDEJ3JCOSJ3-Π/2.193AIDEDANALYSISANDSIMULATIONSOFTWAREOFMECHANISMANDPARAMETEROPTIMIZATION3.1AIDEDANALYTICALSOFTWARETHEVISUALIZATIONOFTHEMECHANISMISANALYZINGANDOPTIMIZINGPROCESSTHATCANDISPLAYMOREINFORMATIONOFTHEPROCESSTOUSERS.USERSCANOBSERVETHEWHOLEPROCESSANDFINDOUTTHEESSENTIALPARAMETERSOFTHEMECHANISM.HUMANCOMPUTERINTERACTIONANALYSISANDOPTIMIZATIONCOMBINETHEVIRTUESOFBOTHHUMANANDCOMPUTERS.HUMANSPOSSESSTHECAPABILITIESOFILLEGIBLEILLATION,JUDGMENTANDINNOVATION,WHICHCANHELPTODISPOSERANDOMEVENTSASWELL.MEANWHILE,COMPUTERSAREGOODATACCURATECALCULATIONANDREPEATIVEWORK.HUMANANDCOMPUTERCANFULLYDISPLAYTHEIRRESPECTIVEADVANTAGESINHUMANCOMPUTERINTERACTIONOPTIMIZATION.THUSSATISFACTORYPARAMETERSCANBEEASILYACHIEVED[810].BASEDONTHEABOVEKINEMATICMODELSOFEGCRBEATINGUPMECHANISM,ANAIDEDANALYSISANDSIMULATIONSOFTWAREARECOMPILEDWHICHISSHOWNINFIG.3.ITCANBEUSEDTOANALYZETHEINFLUENCESOFDIFFERENTMECHANISMPARAMETERSANDVERIFYWHETHERTHEREEXISTINTERFERENCESAMONGTHECOMPONENTSOFTHEMECHANISM.FIG.3AIDEDANALYSISANDSIMULATIONSOFTWAREOFMECHANISMWITHTHISSOFTWARE,USERSCANINPUTMECHANISMPARAMETERSSUCHASA,K,Γ,L1,L2,L3,L4,ANDROTARYSPEEDOFTHELOOMSSPINDLE.THEMECHANISMMOTIONSIMULATIONWILLBESHOWNONTHELEFTOFTHEINTERFACE;THEDISPLACEMENT,VELOCITY,ANDACCELERATIONCURVESOFPOINTEWILLBESHOWNRESPECTIVELYONTHERIGHTOFTHEINTERFACE;THEOPTIMALVALUEOFΔWILLBESHOWNONTHELEFTBOTTOMOFTHEINTERFACE.THEDISPLACEMENTCURVESHOWSTHATDWELLTIMEINTHEREARPOSITIONDECREASESASKINCREASES;322JOURNALOFDONGHUAUNIVERSITYENG.ED.VOL.28,NO.22011MEANWHILETHEACCELERATIONCURVESHOWSTHATTHEMAXIMALACCELERATIONALSODECREASESASKINCREASES.FORKINEMATICPERFORMANCESOFTHEMECHANISM,KNEEDSTOBEOPTIMIZEDACCORDINGTOTHEREQUIREMENTSOFTHEBEATINGUPWEFT;L1,L2,L3,ANDL4ALSONEEDTOBEMODIFIEDBYTHEUSERINCOMPANYWITHK,SOASTOACHIEVEIDEALKINEMATICPERFORMANCES.3.2OPTIMIZATIONRESULTSANALYSISONEOFTHEMOSTIMPORTANTPERFORMANCESOFBEATINGUPMECHANISMISTHEDWELLTIMEOFSLEY.INCREASINGMECHANISMPARAMETERKCANPROLONGDWELLTIME,MEANTIMETHEMAXIMALACCELERATIONINCREASESREMARKABLY,ANDTHEOVERSIZEFLUCTUATIONOFACCELERATIONWILLDEGRADEMECHANISMDYNAMICPERFORMANCE.DESIGNERMUSTTHEREFOREMAKEABALANCEBETWEENPROLONGINGDWELLTIMEANDCONTROLLINGACCELERATIONFLUCTUATION.WITHTHEABOVEAIDEDANALYSISANDSIMULATIONSOFTWARE,AGROUPOFPARAMETERSWASOBTAINEDΔ4,K0.85,Γ135,A71.233MM,L140MM,L2100MM,L3180MM,L4199MM,ANDLDE189.5MM.BASEDONTHESEPARAMETERS,WHENTHELOOMHASASPEEDOF300R/MIN,THEKINEMATICALCURVEOFTHEBEATINGPOINTEISSHOWNINFIG.4.WHENTHEBEATINGUPMECHANISMISONTHEREARPOSITION,THEDISPLACEMENTCURVEISALMOSTFLAT.THEDWELLTIMEOFSLEYISCLOSETO200RANGINGFROM92TO285,WHICHWILLNOTLEADTOINTERFERENCEOFTHEBEATINGUPMECHANISMANDWEFTINSERTIONMECHANISM.INADDITION,DURINGTHISPERIOD,THECURVESOFTHEVELOCITYANDACCELERATIONOFTHESLEYAREALMOSTCLOSETO0.THEREFOREITWILLNOTCAUSEVIBRATION,WHICHWILLBENEFITTHEWEFTSENTERYANDEXITFROMSHED.ATTHEENDOFTHEBEATINGUP,THEMAXIMALDISPLACEMENTIS85MMANDTHEMAXIMALACCELERATIONIS615.8434M/S2,WHICHBOTHCANMEETTHEREQUIREMENTSOFTHEBEATINGUPWEFT.FIG.4THEKINEMATICCURVESOFEGCRBEATINGUPMECHANISM4TESTSTUDYBASEDONTHEABOVEPARAMETERS,ATESTBEDOFEGCRBEATINGUPMECHANISMISDEVELOPEDFIG.5.USINGTHEHIGHSPEEDVIDEOTAPERECORDERANDVIDEOANALYSISSOFTWAREBLASTERSMAS,THEDISPLACEMENTANDVELOCITYAREOBTAINEDWITHLOOMSPINDLESROTARYSPEEDAT100R/MIN.THEORETICALANDEXPERIMENTALDISPLACEMENTSOFBEATINGPOINTEARESHOWNINFIG.6,ANDTHEORETICALANDEXPERIMENTALVELOCITIESOFBEATINGPOINTEARESHOWNINFIG.7.THEACTUALMEASUREDDISPLACEMENTCURVEISCONSISTENTWITHTHETHEORETICALONE,BUTTHEACTUALMEASUREDVELOCITYCURVESHOWSSOMEFLUCTUATION.THEREARETWOREASONSFORTHISFINDINGTHEGAPAMONGTHECOMPONENTSOFTHEMECHANISMCAUSESVIBRATION;THEVIDEOANALYSISCONTAINSERRORS.422JOURNALOFDONGHUAUNIVERSITYENG.ED.VOL.28,NO.220115CONCLUSIONS1INTHISPAPER,THEEGCRBEATINGUPMECHANISMHADBEENPRODUCED.ITSKINEMATICMATHEMATICMODELSHADBEENESTABLISHEDANDANAIDEDANALYSISANDSIMULATIONSOFTWAREHADBEENCOMPILEDBYVISUALBASIC.AGROUPOFSATISFACTORYPARAMETERSHADBEENGOTBYTHISSOFTWARE.2ATESTBEDOFTHEEGCRBEATINGUPMECHANISMWASDEVELOPED.WITHTHEVIDEOTAPERECORDER,ITSKINEMATICPERFORMANCESWEREVERIFIED.THISDEMONSTRATEDTHEVALIDITYOFTHEMODELSANDTHEFEASIBILITYOFTHEMECHANISM.REFERENCES[1]ZHUSK,GAOWD.WEAVINGMACHINE[M].2NDED.BEIJINGCHINATEXTILE&APPARELPRESS,2004267268.INCHINESE[2]LIANGHS,HUQE,WANGGC,ETAL.THEFUZZYOPTIMIZATIONDESIGNOFTHEFOURLINKWEFTBEATUPMECHANISM[J].MACHINEDESIGNANDRESEARCH,2005,2127275.INCHINESE[3]MASP.OPTIMALDESIGNANDSIMULATIONON6LINKBEATINGCONSTRUCTIONBASEDONMATLAB[J].JOURNALOFTEXTILERESEARCH,2006,2734043.INCHINESE[4]ZHENGZY.ANALYSISOFBEATINGUPMECHANISMOFTT96RAPIERLOOM[J].JOURNALOFTEXTILERESEARCH,2004,2547374.INCHINESE[5]ZHEJIANGSCITECHUNIVERSITY.WEFTINSERTINGANDBEATINGUPMECHANISMWITHELLIPTICGEAR&CRANKROCKERCN,200810162178.0[P].20081118.INCHINESE[6]CHENJN,ZHAOX,XUB,ETAL.ESTABLISHMENTOFKINEMATICSMODELSANDPERFORMANCEANALYSISOFELLIPTICGEAR&CRANKROCKERWEFTINSERTIONMECHANISM[J].CHINAMECHANICALENGINEERING,2007,181922942297.INCHINESE[7]ZHAOY.MECHANISMMATHEMATICSAN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