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.docx

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

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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).

Toman

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