文献翻译用PLC模块控制3轴数控铣床制造加工螺旋锥齿轮.docx
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文献翻译用PLC模块控制3轴数控铣床制造加工螺旋锥齿轮
外文资料翻译
UseofPLCmoduletocontrolarotarytabletocutspiralbevelgearwiththree-axisCNCmilling
S.Mohsen.Safavi,S.Saeed.Mirian,RezaAbedinzadeh,Mehdi.Karimian
Abstract
CNCmachiningnowadaysmakesmoreuseof“Mechatronics”increasingly.Combiningnumericalcontrolwithmechanic,electric,anddataprocessingsystemscanleadtonewmethodsofproduction.Inrecentyears,thedevelopmentofCNChasmadeitpossibletoperformnonlinearcorrectionmotionsforthecuttingofspiralbevelgears.Inthispaper,weattempttomanufacturethespiralbevelgearusingathree-axisCNCmillingmachineinterfacedwithanadditionalPLCmodulebasedontraditionaldiscontinuousmulticuttingmethodaccomplishedbyusingauniversalmillingmachineinterfacedwithanindexingworkhead.Thisresearchconsistsof(a)geometricmodelingofthespiralbevelgear,(b)simulatingthetraditionalandournewnontraditionalmethodusingaCAD/CAEsystem,(c)processplanningforCNCmachiningandPLCProgramming,(d)experimentalcutswithathree-axisCNCmillingmachineweremadetodiscoverthevalidityofthepresentedmethod.TheresultsdemonstratethatinventedexperimentalcuttingmethodofSBGsnotonlyislessexpensivethanadvancedCNCmachiningbutalsoproducesgearsinashortertimeincomparisonwiththetraditionalcutting.Thereby,itisaneconomicalmethodinmanufacturingofSBGs.
Keywords:
Gearmanufacturing.Spiralbevelgear.CAD/CAM/CAE.CNC.PLC.ACmotor.Inverter.Proximitysensors.Photoelectricsensors.Rotaryencoder
1Introduction
Gearsareimportantandprecisionmechanismsforindustrialmachineryasameansformechanicalpowerormotiontransmissionbetweenparallel,intersectingandnonintersectingcross-axisshafts.Althoughhiddenfromsight,gearsareoneofthemostimportantmechanicalelementsinourcivilization.Theyoperateatalmostunlimitedspeedsunderawidevarietyofconditions.Themachinesandprocessesthathavebeendevelopedforproducinggearsareamongthemostexistingingeniousones.Whetherproducedinlargeorsmallquantities,incell,orjobshopbatches,thesequenceofprocessesforgearmanufacturingrequiresfoursetsofoperations[1]:
1.Blanking
2.Gearcutting
3.Heattreatment
4.Grinding
Dependingontheirtypeandapplicationorrequiredstrengthandresistance,gearsaremanufacturedbycasting,extruding,forging,powdermetallurgy,plasticmolding,gearrolling,andmachining.Amongtheseprocesses,machiningismorefrequentlyusedforhigh-precisegears[2].Amongthevarioustypesofgears,thespiralbevelgears(SBG)arethemostcomplextypeandareusedtotransmittherotationalmotionbetweenangularlycrossedshafts.SBGshaveteethcurvedlongitudinallyalongthelengthoftheteeth.Themainadvantageofthesegearsoverthestraight-toothedvarietiesliesinthefactthatmoreteethareincontactatthesametimebecauseofthecurve-shapedcontouroftheteethandsoasmoothermeshingactionbetweenthematingpairisensured[3].Thedesignandmanufacturingofspiralbevelgearsisstillahottopicofresearchthatisvitaforapplicationofsuchgearsinhelicoptertransmissions,motorcyclegears,reducers,andinotherbranchesofindustry.Asfarasmanufacturingisconcerned,thegearsaremachinedbyaspecialtypeofmachinetools,suchasgearhobbingandshapingmachines.Recently,specialCNC-basedgearmanufacturingmachinetoolsareusedinindustrialpractice.Thismaybewhyliteratureongearmanufacturingissparseintheopenresearchdomain.Recently,CNC-basedgearmanufacturingmachinetoolshavebeendevelopedandincreasinglyusedinindustrialpractice.However,theirkinematicstructureisstillinherentlydifferentfromtheindustrialCNCmillingmachine,astheformerisdesignedforaspecialtypeofcutter.
Previousstudiesongearshavebeenmainlyconcernedwiththedesignandanalysisofgears.Thegeometriccharacteristicsanddesignparametersofgearshavebeenstudied[4-8].TsaiandChin[4]presentedamathematicalsurfacemodelforbevelgears(straightandSBGs)basedonbasicgearingkinematicsandinvolutesgeometryalongthetangentplanes.Later,thismethodwascomparedwithanothermodelbasedonexactsphericalinvolutescurvesbyAl-Daccaetal[5].Shunmuganetal.[6,7]presentedadifferentmodel,anditsaccuracy(comparedwiththespiralbevelgearmanufacturedbyspecialmachinetools)wasverifiedintermsofnominaldeviation.
Forcrowngears,afewresultsareavailable.LitvinandKim[8]suggestedagenerationmethodforaninvolutecurvefromamodifiedbasecircleforaspurgear.Umeyama[9]designedastandardprofileatthepitchcircleandamodifiedprofileatthetop/bottomfacegearwithadeterminationofthemodificationvaluefortransmissionerrorofhelicalgear.Tamuraetal.[10,11]studiedapointcontactmodelforabevelgearusingaflatsurfacetooth.Thesestudiesareconcernedwiththegenerationofthetoothprofileforspecialgearmachines,suchasgearhobbingandshapingmachines,whicharespeciallydesignedformanufacturinggears.Suhetal.[12]investigatedthepossibilityofasculpturedsurface-machiningmethodforthemanufactureofspiralbevelgearsandverifiedthepossibilitybypresentingtool-pathgenerationusingafour-axisCNCmillingmachineinterfacedwitharotary-tilttable.Amodel-basedinspectionmethodforthespiralbevelgearswasalsopresented[13].
Inthispaper,weattempttopresentanewmanufacturingprocedureofSBGsbyusingathree-axismillingmachineinterfacedwithaPLCmodulewhichoperatesasanindexingtable.Intermsofproductionrate,itisobviousthatthismethodwillbelowerthanthatofthespecialmachinetool.Otherthanproductionrate,thismethodisadvantageousinthefollowingrespects:
(1)theconventionalmethodrequiresalargeinvestmentforobtainingvariouskindsofspecialmachineryandcuttersdedicatedtoaverylimitedclassofgearsintermsofgeartype,size,andgeometry;
(2)bythismethod,varioustypesofgearscanbemanufacturedwiththeindustrialthree-axisCNCmillingmachine;(3)thismethodismoreeconomicalthanusingthespecialmachinetool.Oneofthemainpointswhichseparateourworkfrompreviousonesisdevelopinganautomaticcomputermodelinordertosimulatetheprocessentirelyandobtainmachiningparameter.Allpreviousstudieshavebeenengagedincalculatingcomplicatedmathematicalequationsanddesigninggeometricmodels.Inviewoftheabove,specialattentionisgiventoexperimentaltestsratherthanpresentinggeometricalormathematicalmodelofSBGs.Thisisthefirsttimethatmechatronicstoolsandathree-axisCNCmillingmachinearebeingusedsimultaneouslyinmanufacturingaspecialgearandevenamechanicalelement.
2Geometricspecificationsofthespiralbevelgears
Mostofthetime,thegeometricparametersofagearareprovidedwithanengineeringdrawing.Someparameters(principalparameters)arerequiredfordefiningthegeometry.Figure1showsmodule,spiralangle,andnumberofteethofgear.Table1summarizestheseparametersincludingrelationshipsamongparametersforthegearwhichhasbeenmanufacturedinourtest.Tocalculatetheseparameters,wehaveused“drivecomponentdevelopmentsoftware”calledGearTrax.
Thedesignofspiralbevelgearrequireshigh-accuracymathematicalcalculations,andthegenerationofsuchgeardrivesrequiresnotonlyhigh-qualityequipmentandtoolsformanufacturingofsuchgeardrivesbutalsothedevelopmentofthepropermachine-toolsettings.Suchsettingsarenotstandardizedbuthavetobedeterminedforeachcaseofdesign(dependingongeometricparametersofthegeardriveandgeneratingtools)toguaranteetherequiredqualityofthegeardrives.
3ManufacturingtheSBG
Asitwasdiscussedintheintroduction,bymachining,alltypesofgearscanbemadeinallsizes,andmachiningisstillunsurpassedforgearshavingveryhighaccuracy.Formmillingisoneofthemostcommonmachiningprocessesusedtomanufactureanytypesofgears[14].Thecutterhasthesameformasthespacebetweenadjacentteeth.Standardcuttersusuallyareemployedinform-cuttinggears.IntheUSA,thesecutterscomeineightsizesforeachdiametralpitchandwillcutgearshavingthenumberofteethindicatedinstandardtables.
Gleasonworksusedthefacehobbingprocessthatisbasedonthegeneralizedconceptofbevelgeargenerationinwhichthematinggearandpinioncanbeconsideredrespectively,generatedbythecomplementarygeneratingcrowngears[15].ThetoothsurfacesofthegeneratingcrowngearsarekinematicallyformedbythetracesofthecuttingedgesofthetoolbladesasshowninFig.2.
AsitisshowninEq.1,velocityratiooffacehobbingprocessdependsontoothnumberoftoolandgeneratinggear:
(1)
Where,
and
denotetheangularvelocitiesofthetoolandgeneratinggear;
and
denotethenumberofthebladegroupsandthetoothnumberofthegeneratinggear.
TheradiioftherollingcirclesofthegeneratinggearandthetoolaredeterminedbyEqs.2and3:
whereisthemachineradialsetting.
Thegeneratingcrowngearcanbeconsideredasaspecialcaseofabevelgearwith90°pitchangle.Therefore,agenericterm“generatinggear”isused.Theconceptofcomplementarygeneratingcrowngearisconsideredwhenthegeneratedmatingtoothsurfacesofthepinionandthegearareconjugate.Inpractice,inordertointroducemismatchofthematingtoothsurfaces,thegeneratinggearsforthepinionandthegearmaynotbecomplementarilyidentical.Therotationofthegeneratinggearisrepresentedbytherotationofthecradleonahypoidgeargenerator(Fig.3).
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