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PrecisionEngineering36 (2012) 510–516 ContentslistsavailableatSciVerseScienceDirect Precision Engineering journal homepage: www.elsevier.com/locate/precision Technicalnote Internal finishing of capillary tubes by magnetic abrasive finishing using a multiple pole-tip system JunmoKang,HitomiYamaguchi∗ DepartmentofMechanicalandAerospaceEngineering,UniversityofFlorida,Gainesville,FL32611,UnitedStates a r t i c l e i n f o a b s t r a c t Articlehistory: Duetodifficultiesincontrollingmagneticabrasiveinthefinishingareaduringinternalmagneticabra- Receiv ed15August2011 sive fin ishing(MA F) ofcapillary tubes,the finished le ngth islimite din practice tojust afewtime sthe R17ecDeeivceedm ibne r re2v0is1e1d form pole -tip width . The a cc umulatio n of mu ltip le short finishin g p asses is n ecessary for long - tube finish ing, whichresultsinexcessivefinishingtimes.Theuseofamultiplepole-tipsystemwithatool,asolidrod Accepted18January2012 consistingofalternatingmagneticandnonmagneticregions,wasproposedtoovercomethisissue.The Available online 10 February 2012 toolenablesmultiplefinishingregionstobeengagedsimultaneously.Thispaperclarifiesthefinishing characteristicsandmechanismandshowstheeffectsofthetool’smagneticproperties(includingthe Keywords: intervalsbetweenmagneticandnon-magneticregions)onthetoolandabrasivemotionandtheinterior Magneticabrasivefinishing MCaeptiallsatrayb l teubauesten iticstainlesssteel fiponliesh-tiinpgf echedarlaecntgerthis,tiwcsh iocfh caalploilwlasryt htuebMesA. FThpirso pceaspsetro alascoh piervoepoasuens iafo srimmlpylefi nmisehthedods utorf adceeteirnmhianlef tthhee Multiplepo le-tipsyst em timeoft heex istings inglep ole-tip syst em. Heattreatment © 2012 Elsevier Inc. All rights reserved. 1. Introduction total finished length in practice to just a few times the pole-tip width.Tofinishtheentiresurfaceofalongtube,severalshortfin- Inthemagneticabrasivefinishingprocess,materialisremoved ishingstepsarerequired,andthisapproachleadstoalongfinishing asaresultoftherelativemotionbetweentheworkpiecesurface time. andmagneticabrasiveundertheinfluenceofamagneticfield.Con- Toovercomethisissue,anMAFprocessusingamultiplepole-tip trolofthemagneticfieldatthefinishingareaisrequiredinorder systemhasbeenproposed[14].Magneticpropertiesofametastable togeneratethemagneticforcenecessaryforfinishing.Thesmaller austeniticstainlesssteeltoolcanbechangedbyheattreatment,and thetubediameter(e.g.,capillarytubes),themorecriticalisthecon- multiplepartialheat-treatmentsonasingletoolcanprovidealter- trolofthemagneticfield.Asimplemethodtoadjustthemagnetic natingmagneticandnon-magneticregions.Theinsertionofsuch fieldwithoutmodifyingthefinishingequipmentistochange(1) atoolintoacapillarytubewiththemagneticabrasivegenerates magnetic properties or geometry of the magnetic abrasive [1–3] multiplefinishingregionsasthemagneticabrasiveisattractedto or (2) magnetic properties, geometry, or concentration of mag- theborderbetweenthemagneticandnon-magneticregionsonthe netictools(suchasferrousparticles,aferrousrod,orapermanent singletool.This(1)facilitatesthedeliveryofthemagneticabrasive magnet)insertedwiththemagneticabrasiveorconventionalabra- deepintothetubeand(2)realizesthesimultaneousfinishingof siveslurry[4–11].Theeffectivenessofthesetechniqueshavebeen multipleregions. demonstratedforcapillarytubes,widelyusedinmedicalapplica- Theobjectivesofthispaperare(1)toclarifythefinishingcharac- tionsandinprecisionanalyticalinstruments[12,13].However,the teristicsandmechanismthatcontrolthemultiplepole-tipsystem defaultfinishedlengthinthetubeaxialdirectionislimitedbythe and improve the finishing efficiency and (2) to achieve a uni- pole-tip width. For example, a pole-tip width of 4mm has been formly finished surface over the entire finished area. First, this consideredadequateforcapillarytubeswithinnerdiameters(ID) paperwillstudythedesignofalternatingmagneticproperties(e.g., between0.4mmand1mm[12].Feedingthepoletipinthetube lengths of magnetic and non-magnetic regions) of the tool. Sec- axialdirectiontheoreticallyallowstheentireinternalsurfaceofa ond,theinteriorfinishingexperimentsofcapillarytubes(1.06mm longtubetobefinished.However,difficultiesassociatedwiththe ID) will show the key parameter—the relationship between the insertionofthemagneticabrasiveintothefinishingarealimitthe intervalsbetweenmagneticandnon-magneticregionsofthetool and pole-tip geometry—to realize the multiple pole-tip system. The experimental results will clarify the finishing mechanism. ∗ Finally,asimplemethodisproposedtodeterminethepole-tipfeed Corresponding author at: University of Florida, 226 MAE-B, Gainesville, FL lengthtocontroltheroughnessuniformityovertheentirefinished 3261E1-m, Uanilitaeddd rSetsast:ehs.i tToeml.:i y+@1u 3fl5.2ed 3u92(H 0.8Y1a2m; afagxu:c +h1i) .352 392 1071. area. 0141-6359/$–seefrontmatter© 2012 Elsevier Inc. All rights reserved. doi:10.1016/j.precisioneng.2012.01.006 J.Kang,H.Yamaguchi/PrecisionEngineering36 (2012) 510–516 511 Fig.2. Schematicandphotographofmultiplepole-tipsystem. Fig.1. Schematicandphotographofsinglepole-tipsystem. pushesagainstthetubesurface.Analogoustothesinglepole-tip 2. Processingprinciplesofsingle-poletipand system,rotatingthetubeenablestherelativemotionbetweenthe multiple-poletipsystems magneticabrasiveandtubeinnersurface,resultinginanefficient surfacefinishing.Thenumberofpole-tipsetscanbeincreasedif Fig.1showsaschematicofamagneticabrasivefinishingpro- needed.Foraconstantpole-tipwidth,thefinishingareawillbea cesswithasinglepairofpoletips(hereaftercalledasinglepole-tip functionofthetotalnumberofpole-tipsets. system) and a photograph of the finishing machine. The desired Thegeometryofpole-tipsetsinbothsingleandmultiplepole- magneticfieldinthefinishingareaisgeneratedbytwopermanent tipsystemsusedinthispaperareshowninFig.3.Thewidthofthe magnetsattachedtoasteelyoke.Magneticabrasiveinthetubeis poletip,whichdefinesthedefaultfinishedlength,is18mm.The magnetized,anditispushedagainstthetubesurfacebymagnetic pole-tipsetforthesinglepole-tipsystemhastwomagnets.Inthe force.Asthetubeisrotatedathighspeed,themagneticabrasive caseofthemultiplepole-tipsystem,eachpoletiphasonemagnet, exhibitsrelativemotionagainstthetubesurfaceandthusremoves andthetwomagnetsarecoupledbyasteelyoke,whichis54mm materialfromthetubesurface.Thedefaultfinishedlengthisdeter- long(paralleltotheworkpieceaxis). minedbythepole-tipwidthinthetubeaxialdirection,andmotion Fig.4showschangesinmagneticfluxdensityBy,measuredbya ofthep ol etip alongth etube a xise xten dsth efinished area . Hallse ns or(sen singare a: ∅1.0mm) ,wit hdistan ce Xinbothp ole - ReductionofthetubeIDmakesthisapproachdifficult.Forexam- tipsystems.Thereisnosignificantdifferenceinthemagneticflux ple,magneticabrasivetendstobuildupintheareacorresponding densityBy betweenthetwosystems.Bothsystemsshowasimi- totheentrysideofthepole-tipedges—insteadofbeingdistributed lartrend:themagneticfluxdensityanditsgradientincreasefrom attheregioncorrespondingtothepoletipwithfollowingtheline the center toward the edges of pole tips. The magnetic abrasive ofmagneticforce—andplugsthetube.Regardlessofthepole-tip isattractedbymagneticforcetowardthepole-tipedges.Without motion,themagneticabrasiveremainsattheinitialpositionand assistanceofamagnetictool,thistrendencouragesthepluggingof finishingisnotperformed.Thisisduetoalackofmagneticforce actingonthemagneticabrasive,andthemagneticforceyieldsto friction between the magnetic abrasive and tube inner surface. Sinceth emagnet icfo rceisafu nctionof mag netic field strength 18 12 Yoke 54 12 . .10 annedti ci tps rgorpaedriteyn ot,f itth cea pno blee- tciopn otrro tlhleed mbayg tnheet igc etoomole itnryse artnedd mwaitgh- S mPe argmnaentse nt S N 2 1100 magneticabrasive. 16 Fig.2showsaschematicandaphotographofamethodusing 18 1 Pole tips 18 18 1 amultiplepole-tipsystem.Inthisstudy,apairofpoletipsisadded (mm) toasinglepole-tipsystemandyokedtogethertogeneratemag- (a) Single pole tip (b) Multiple pole tips neticfieldsintwofinishingareas.Thefinishingareaisdoubledas magneticabrasiveisintroducedintotworegionsofthetubeand Fig.3. Geometryofsingleandmultiplepole-tipsets. 512 J.Kang,H.Yamaguchi/PrecisionEngineering36 (2012) 510–516 Fig.4. Changesinmagneticfluxdensityofsingleandmultiplepole-tipsystemsat Y=0mm. themagneticabrasiveintheregioncorrespondingtothepole-tip edgeswhenthetubeIDislessthan1mm. 3. Designofalternatingmagneticpropertiesofthetool Themagneticpropertiesofthetoolplayanimportantrolein Fig.6. Motionofeachtoolwithmixed-typemagneticabrasiveforapole-tipstroke realizing the proposed method. Their effects on the tool behav- lengthof18mm. ior in the multiple pole-tip system were experimentally studied usingtoolswiththreekindsofmagneticproperties.Fig.5showsa Each tool was inserted in a clear polypropylene plastic tube photo graph ofth reem agnet ize d54mm longtools with i ronpar - (3mmo uter diam eter,0.7 mm w allth ickness),whic hwass eton ticles:ToolA is mad eofcarbons tee l,To olBi s304 stain lesss teel, th ema chine showninF ig.2 (b).E ight milligrams( 8mg)o fam ixtu re andTo olC is pa rtially he at-trea ted30 4sta in le ssst eel.Inthe case of i ron parti cles an d mag netic abra sive (called m ixed -t y pe mag- of T ool A , the iron pa rticles are m ore a ttracted by the t ool ends ne ticab rasive)w assu ppliedwi ththema gnetic tool.Thepo le-tip be cause of the resid ualmagn etism and magnetic sha pea nisot ropy. setw asfedat 0.59 mm/s,an dthe fee dlengthw ass etat 18mm. Tool B e xh ibit s magne tic anisotro py, which wa s gene rated dur- The tub ewa s rotate dat2 00m in−1 ,and thebe havi oro ft he tool, ingc ol dwork( deformatio n-induced marten sitet ransformat ion), and mixe d-typ emagn eti cabr asivein side the tubewas ob serv ed. and the iron p articles are attracted t o the tool e nds only. In the F ig.6schema ticallysh owstheb ehavi oro fthe thre emagnetic case ofT oolC ,theiron par ticlesarea ttr acte dto bothe ndso fm ag- toolsw it hmixed-typem agnet icab rasivewh ile the tube isrotated. netic re gion sf ollo wing theresid ual magnetis m. The cente rr egion Fig.6 (a)is thecasewit hToolA.I nitially,t hemi xed -type m agnetic (18m mlong) ofthesta inle sssteelT oolCwash eat-t reated ,andit abra sive w ass uppl iedin totw o regionsc orr espondingto thepole has afa ce-cen te red- cubicstr uctur e[15 ]. This crystaltransf orm a- tips.Onc ethe pole-tip sets tarte dmovin g,somemixed -ty pem ag- tion d iminishesthemagn etismand divid esth emagn eticsection netic abras ive stucktot hec arbons teeltool surfac eregardless ofthe into tworegions [15 ,16]. pole- tipmotio nbec au seo fthefer roma gne tismoft hetool.Th ec ar- bonsteeltoolpushesthemixed-typemagneticabrasiveagainstthe innertubesurfacewithastrongmagneticforce.Thisincreasesthe frictionforcebetweenthetoolandinnersurfaceofthetube,and thisfrictionforcepreventedthetoolfromfollowingthepole-tip feedintheexperiment. Fig.6(b)showsthecaseofToolB,whichexhibitsanisotropic magnetismandlowermagneticsusceptibilitythanthemixed-type magnetic abrasive. The mixed-type magnetic abrasive separated intotwofinishingsectionsbecauseitisattractedtothepoletips morethantoToolB.ToolBsimplyliesonthemassofmagnetic abrasive. While the pole tips are moving, the mixed-type mag- neticabrasivefollowsthepole-tipmotion.BothendsofToolBare attracted to the magnetic field according to its anisotropic mag- netism;ToolBtherebystaysinitsinitialpositionregardlessofthe pole-tipandmagneticabrasivemotion. Fig. 6(c) shows the case with Tool C. The borders of mag- neticregionsofthetoolcorrespondtothepole-tipedgesandare attractedtothemagneticfield.Themixed-typemagneticabrasive isattractedbythepoletips,andoncethepoletipsarefedalong thetubeaxis,boththemixed-typemagneticabrasivesandtoolfol- lowthepole-tipmotion.Asaresult,themagneticabrasiveshows Fig.5. Photographsofironparticleswithmagnetizedtools. smooth relative motion against the tube inner surface needed J.Kang,H.Yamaguchi/PrecisionEngineering36 (2012) 510–516 513 Table1 Experimentalconditions. Workpiece 304stainlesssteeltube(∅1.27×∅1.06×100mm) Workpiecerevolution 2500min−1 Pole-tipfeed Speed:0.59mm/s,numberofstrokes:180 Workpiece-pole-tipclearance 0.3mm(polytetrafluoroethylene(PTFE)tapethickness) Lubricant Soluble-typeb arrel finishingcompound(pH: 9.5,vi scosi ty:755MPasat30◦C) Pole-tipsystem Singlepole-tipsystem Multiplepole-tipsystem Multiplepole-tipsystem Pole-tipstrokelength 18mm 18mm 18mm Magnetictool – ToolC(seeFig.5(c)) ToolD(seeFig.7(a)) Ironparti cles( 150–300(cid:2)m 1 2mg 6.4m g ×2 6.4m g ×2 dia.):80wt% Alum inu moxide(WA) 3mg 1.6mg×2 1.6mg×2 magnetica brasiv e(80(cid:2)m meandia.):20wt% forinternaltubesurfacefinishing.Thisexperimentalobservation Inturn,tubesurfacefinishingispredominantlyperformedinfour demonstratestheconditionsrequiredtofacilitatethedeliverability places.Ifthelengthofthemagneticregionisreducedfrom18mm ofthetoolandmagneticabrasiveinthemultiplepole-tipsystem to 3–4mm, and a region is created on the tool corresponding to byconformingtothepole-tipmotion: eachpole-tipedge,themagneticfluxconcentratesatthepole-tip edges,doublingthenumberofborderstoattractmagneticabra- (1) the tool must have alternating magnetic and non-magnetic sive.Finishingisdominantlyperformedatthefourregionswhere regions,and themixed-typemagneticabrasiveisencouragedtoremainbythe (2) thebordersofthemagneticregionoftoolmustcorrespondto tool/poleconfiguration. thepoletipedges. Fig.7showstheconfigurationoftheheat-treatedmagnetictool (ToolD)withaphotographofmagneticabrasivewiththetoolbased Inthemultiplepole-tipsystemusingthe54mmlongToolC,the onthatdesign.Themagneticabrasiveisattractedtotheborders defaultfinishedlengthistheregioncorrespondingtotwo18mm ofthemagneticregions.ComparedtoToolC(Fig.5(c)),thisdou- wide pole tips. If the pole-tip feed is sufficient to cover the gap bledthenumberoftheplaceswherethemagneticabrasiveisheld. betweentwopoletips(18mm),the72mmlengthshouldbefin- VisualobservationofToolDwithmixed-typemagneticabrasivein isheduniformly.Inpractice,somemixed-typemagneticabrasive atransparentpolymerictubeshowedthatToolDholdsthemixed- adherestothesurfaceofthetubebecausethefrictionbetweenthe typemagneticabrasiveatfourplacesandthatthepole-tipmotion mixed-typemagneticabrasiveandtubesurfaceexceedsthemag- issmoothlyfollowed. neticforceactingonthemixed-typemagneticabrasivetofollow Thenextsectionwilldiscussthecharacteristicsofa72mmlong the pole tip motion. The region corresponding to the chuck-end tubefinishedusingToolCandToolDinthemultiplepole-tipsys- edgeofthepoletipmusthavetheleastamountofmagneticabra- tem.Thefinishingexperimentsusingthesinglepole-tipsystems sive.Asaresult,thedeeperthefinishingareawasinthetube,the willalsobediscussedforcomparison.Notethat,tofinishthesame rougherthefinishedsurfacewasduetothelackofmagneticabra- 72mmlength,thesinglepole-tipsystemrequiresatwo-steppro- sive.Accordingly,theinitialinsertionofmagneticabrasivedeeper cesswith18mmpole-tipfeedstroke. into the tube and the deliverability of the mixed-type magnetic abrasive play important roles in accomplishing the desired fin- ishing performance. The alternating magnetic property and the intervalbetweenthemagneticandnonmagneticregionsmustbe designedtosatisfythesematters. InthecaseofToolC(showninFig.6(c)),magneticfluxflows from one end of the magnetic region to the other end, and the magneticabrasiveisattractedfollowingtheflowofmagneticflux. Fig.7. PhotographsofironparticleswithmagnetizedToolDandthetoolmotion withpole-tipstroke. Fig.8. ChangesinsurfaceroughnesswithdistanceX. 514 J.Kang,H.Yamaguchi/PrecisionEngineering36 (2012) 510–516 magnetic abrasive and 23.1% by the stainless steel tool). In both cases,90 (cid:2)Loflub rican twas init ially supplied into thetu be ,and 50(cid:2)L wa s a dd ed after every 20 pol e-tip stro kes. For each fin- ishingexperiment,thetotalnumberofpole-tipstrokeswas180. Aftereachexperiment,thetubewascleanedusingethanolinan ultrasonic cleaner and sectioned along the tube axis. The inner surfacewasevaluatedusinganopticalsurfaceprofilerandastere- omicroscope. The optical surface profiler has a lateral resolution of 275.7nm and a vertical resolution of <0.1nm. The material removalwascalculatedbycomparingtheweight(measuredusing amicro- balan cewith10 (cid:2) gresolution )be forean dafterfinis hing. Thefinishingexperimentwasrepeatedatleastthreetimesunder eachconditiontoconfirmtherepresentativetrends. Fig.8showstherelationshipbetweensurfaceroughness(the averageoftenmeasurements)anddistanceXinthecasesofthe multiple pole-tip system using Tool C, multiple pole-tip system using Tool D, and single-pole tip system. No magnetic tool was usedinthesinglepole-tipsystem(seeTable1).Theroughnesses at X=0 and 74mm are measurements of unfinished surfaces. In theMAFprocess,thefinishingoperationisperformedbymassesof mixed-typemagneticabrasivealignedwiththelinesofmagnetic force.Duetotheunstablemixed-typemagneticabrasivemotion, thefinishingcapabilitygenerallydiminishesattheborderscorre- spondingtothepoletipedges.Asaresult,theareasaroundX=0, 36,and72mmwerelessfinished,whichismoreclearlyshownby theresultsfromthesinglepole-tipsystem. Thematerialremovalrealizedbythemultiplepole-tipsystem usingToolCwas7.85mg,anditwasaboutonethirdofthatperfin- ishingstepofthesinglepoletipsystem:12.98mg(bythefirststep) and11.05mg(secondstep).Thenumberofcuttingedgesactiveat eachfinishingareaintheToolCcaseisestimatedtobeabouthalf thenumberinthesinglepole-tipsystem.Thesinglepole-tipsystem doesnotuseatool,andthemixed-typemagneticabrasiveforms chainsbymagneticforceconformingtotheshapeofthetube.In turn,themixed-typemagneticabrasiveremovesthematerialnot only from the peaks but also the slopes of the surface asperities overthefinishingarea,aslongasthemixed-typemagneticabrasive entersthevalleyofthesurfaceasperities.Incontrast,themultiple pole-tipsystemusesatool(asolidrod),andthemixed-typemag- neticabrasivesandwichedbetweenthetubesurfaceandtoolatthe regionscorrespondingtothepole-tipedgesplaysamajorrolein removingthematerial. As mentioned above, in the case using Tool C, some mixed- typemagneticabrasiveadherestothesurfaceofthetubebecause thefrictionbetweenthemixed-typemagneticabrasiveandtube surfaceexceedsthemagneticforceactingonthemagneticabra- sive.Theregioncorrespondingtothechuck-endedgeofthepole tipmusthavetheleastamountofmixed-typemagneticabrasive regardlessoftheback-and-forthmotionofthepole-tip.Thislack Fig.9. Changesinpole-tipcoveragetimesandsurfaceroughnesswithdistanceX. ofabrasivealsodiscouragedthefinishingoperation.Accordingly, lessmixed-typemagneticabrasiveisinvolvedinthecuttingper- 4. Finishingcharacteristicsandmechanism formance in the multiple pole-tip system using Tool C than that inthesinglepole-tipsystemcase.Thedifferenceinthematerial Table1showstheexperimentalconditions.Stainlesssteeltubes removalratesandsurfaceimprovementisattributedtothesedif- (1.27mmOD,1.06mmID,100mmlong,initialsurfaceroughness: ferentmechanisms. 2–3(cid:2) mR z)w erep repa red as work piece sfort hisstud y.Tenmil- The multiplepole-tipsystemusingToolDsmoothlyfinishedthe limeters at one end of the tube was chucked, and the other end surfaceinanareadeepinsidethetube,correspondingtothepole wassupportedbyaflexiblejigtoreducerun-outduringrotation. tiplocatedclosesttothechuck.Aroughnesswasachievedsimi- The tuberotatio na ls peedw ass et at2500 min−1.T hepole -tipfeed lar tothati nthesin gle po le-tipsy st emcase.Th isre sultedfro mthe length and rate were set at 18mm and 0.59mm/s, respectively. relativemotionofthesufficientlydistributedmixed-typemagnetic Thefinishingexperimentsbegan5mmfromthefreetubeend.In abrasiveguidedbythetoolagainstthetubesurface.Afterfinishing thecaseofthesinglepole-tipsystem,mixed-typemagneticabra- withToolD,thematerialremovalof14.2mgisapproximatelytwice sive15mg(80wt%ferrousparticlesand20wt%magneticabrasive) thatobtainedintheToolCcase,butthematerialremovalperlength wassupplied,whichtookup45.3%oftheenclosedvolumeofthe 0.20mg/mm is calculated about half of the single pole-tip sys- finishing area. In the multiple pole-tip system, 47.3% of the vol- tem(0.36mg/mm).Theuseofasolidtoolencouragestheamount umeateachfinishingareawastakenup(24.2%bythemixed-type of mixed-type magnetic abrasive participating in the finishing J.Kang,H.Yamaguchi/PrecisionEngineering36 (2012) 510–516 515 Fig.10. Surfacetopographymeasuredbyopticalprofiler. performanceandpushesitagainstthetubesurfacemorestrongly accordingtothefeedlength.Thepole-tiptakes61sforone18mm thanToolC.However,sincethematerialispredominantlyremoved stroke. In this case, the positions X=18 and 54mm are covered fromthepeaksofthesurfaceasperities,thematerialremovalrate forthelongestduration,whilethepositionsX=0,36,and72mm mustbelowerthanthecasewiththesinglepole-tip. experiencealmostnocoverage. Highvaluesofsurfaceroughness,similartotheunfinishedsur- Fig.9showstherelationshipbetweenpole-tipcoveragetime, face,aremeasuredatthecenterofthefinishedarea.Theyshould roughnessoffinishedsurface,anddistanceX.Inthisstudy,every beeliminatedbyenhancingthemixed-typemagneticabrasiveto 2mmmovementofthepoletip(correspondingto3.21s)isplotted contactwiththetubesurface,whichcanbeachievedbyextending asthepole-tipcoveragetimeinthecourseofonefeed.Fig.9(a) thepole-tipfeed.Althoughthefinishingresultisnotshowninthis showsthecasewithapole-tipfeedof18mm.Thepositionswith paper,theroughnesspeakexhibitedaroundX=36mminthecase higher pole-tip coverage times exhibit lower surface roughness. of the single pole-tip system was eliminated by lengthening the Theincreaseofthepole-tipcoveragetimeincreasesthecontacts pole-tipfeedto24mminthefirstphaseand18mminthesecond betweenthemixed-typemagneticabrasiveandthetubesurface phase.The6mmoverlapofthefinishedareabetweenthefirstand and thus facilitates material removal. At X=18 and 54mm, the second pha se sfac ilitated the ma terialre mova lfromthe cen tera rea surf acero ughnessis lowertha n0.2(cid:2)m Rz du e to thel ong estp ole- andimprovedtheuniformityofthefinishedsurface.Analogously, tip-coveragetime,173.4min,undertheconditions.Incontrast,the extensionofthepole-tipfeedlengthshoulddiminishtheuneven- positionsX=0,36,and72mmexhibithigherroughnessduetothe nessoftheroughnessinthefinishedareainthemultiplepole-tip lackofcontactbetweenthemixed-typemagneticabrasiveandtube system. The next chapter will find a method to determine suffi- surface. cientpole-tipfeedlengthbystudyingtherelationshipbetweenthe The areas between X=4 and 32mm and between X=40 and pole-tipfeed,theoverlapoffinishingarea,andthefinishedsurface 68mm have pole-tip coverage times of more than 38.5min and roughne ss. sur face roug hnessim provemen tfrom ∼ 3(cid:2)m Rzto ∼1(cid:2) mR z.In other w ords, to ac hieve a rough ness l ess than 1 (cid:2)m Rz ov er t he 5. Pole-tipfeedlengthandsurfaceroughnessuniformityin entirefinishedarea,thepole-tipfeedlengthmustbesetsoasto multiplepole-tipsystem resultinapole-tipcoveragetimeatX=36mmofatleast38.5min. Toprovethisconcept,apole-tipfeedof22mmwaschosenforthe Therelationshipbetweenthepole-tipfeedlengthandthefinish- experiments.TheareafromX=36to40mmistheareacoveredby ingcharacteristics,especiallysurfaceroughness,arestudiedhere. bothpoletips,andthepole-tipcoveragetimethereiscalculated The finishing experiment starts with the edge of pole-tip set (at tobe48.6min.Fig.9(b)showstheexperimentalfinishingresults X=0), as shown in Fig. 8. The pole-tip set moves back and forth andthepole-tipcoveragetimeplottedagainstthedistanceX.The 516 J.Kang,H.Yamaguchi/PrecisionEngineering36 (2012) 510–516 roughnesspeakatX=38mmisdecreasedbecauseoftheincreased (4) Amethodwasproposedtodefinethepole-tipfeedlengthsuf- pole-tipco verag e. Th e ro ughn es swasimp rovedto les sth an0.8(cid:2)m fic ienttoa chie veaunifo rm desir eds urfacero ughn esson the Rz.Ifthe desireds urfa ceislessth an0 .5(cid:2)mRz,a p ole- tipco ver age entire tar getsurfa ce bycalcu latingp ole-tipc overagetim eo ver timegreaterthan60minissuggestedbyFig.9(a).Tosatisfythis thetargetsurface. condition,apole-tipstokeof24mmisproposed.The24mmpole- tipfeedprovidesthesuperposedareafromX=36to42mmwitha Acknowledgements coveragetimeof68.3min.AsseeninFig.9(c),theroughnesspeak atthecenterisnolongerobserved,andthesurfaceroughnessis The authors gratefully acknowledge the University of Florida ar ound 0.2(cid:2)m R z. Researc hFound ation(Gat orade)andthe UF OfficeofRe sea rchfor Fig.10showsthethree-dimensionalshapes(measuredbyan theirsupportofthiswork. opticalprofiler)oftheunfinishedinnersurfaceandthecenterof theinnersurfacesfinishedwithpole-tipfeedsof18,22,and24mm. References The surface finished with the 18mm pole-tip feed (Fig. 10(b)) is similar to the unfinished surface (Fig. 10(a)). Fig. 10(c), with the [1] KoS,BaronYM,ChaeJW,PolishukVS.Developmentofdeburringtechnology 22 mm po le-ti p feed, sho ws som e asp erities that remai ned fr om ifnort e drrn ialltiinogn ba lucrorsn ufesrienng c meoa gnnleetaidci anbg readsig veem finanisuhfiancgt umri entgh oind2. I1ns:t Pcreon cteuerdyi.n2g0s0 o3f. theinitialsurfacecondition.Inthesurfacewiththe24mmpole-tip p.367–72. feed (Fig. 10(d))th easperiti es from thein itialc ond itio nar ebarely [2] Ya maguchiH,ShinmuraT.Studyonanewinternalfinishingprocessbythe obse rved , and th e fin ished surf ace c onsi sts of c utting ma rks gener- oapfpmliacgantieotnic oaf b mraasgivneestico n abfir nasisivhein mgacc hha irnaicntge r–ist4itchs .rTe rpaonrsta, cetfifoe nctss ooff tdhie amJa eptaenr atedbymixed-typemagneticabrasive.Thesefiguresconfirmthe So cietyofM echanical Eng ineersSer iesC1995;61(5 91):4470–5[i nJ apan ese]. mate ria lremovaltre ndsdescr ibedinFig .9. [3] Yamagu ch iH,Hanada K.Develo pment o fSphericalMagneticA bra siveMade The p ole-tip f eed con ditions of 2 2mm (total finished length: byplasma Sp ray.ASM E JournalofMa nu facturing Sciencea ndEngine ering 20 08;130(3 ):0311 07.1–9 . 76mm) and 24mm (total finished length: 78mm) had mate- ria l rem oval of 1 6.83 mg an d 18.7m g, and t he m ater ial re moval [4] rSeuszeuakric hK,o nTamkaahgansehtii cHg,r iOnhdainshgim He, thYoodneumsiunrgas Th,o Mrtifiybaesarkmi aEg, nUeetimcaatbsrua sTiv. eTsh–e per length a re calcul ate d to be 0 .22m g/m m and 0.24 mg/mm, 1strepor t,t heeffecto fthemet alshort fiberc ontam inat iontomag neticabra - sive s.In:P roce eding so fth eJSPE sprin gan nualmeeting.1 99 0.p.307– 8[in respectively. Regardless of the extended pole-tip feed, the mate- Japan ese] . rialremovalrateofthemultiplepole-tipsystemwaslessthanthat [5] ShinmuraT,YamaguchiH.Studyonanewinternalfinishingprocessbythe ofth esingle pole -ti psy stem(0.3 6mg/mm ).This cond ition resu lted applicatio no fmagnetic ab rasive ma ch ining –inter nalfinish ingofst ain less steeltubean dc leangasb omb.Inte rnationalJo urnalofJap anSociety of Mechan- from the differences in the finishing mechanisms with and without icalE ngin eerin gSer ies C1995 ;38(4):798–8 04. theuseofthemagnetictool.Moreover,itshouldbenotedthatthe [6] Shin muraT,Yam aguch i H,AizawaT.Anewinternalfinishingprocessofnon- sing lep ol e-tip systemt ookt wicethet im e(6h), co mpare dto the ferromagn et ictubingby th eapplic ati on ofa magneti cfield–th edevel op ment multip le pole-t ip syste m, to finish the s urfac e o f a 72 mm lon g tu be. onfa al oufnJiat ptyapneS fio nciieshtyinfgo rapP preacri astiuosn uEsninggin pee errmi na gn1e9n9t 3m;2a7g (n2e)t:s1. 3In 2t–e7r .national Jour- [7] Zou Y H,Shin muraT .An ewintern almagnetic fieldassistedmachiningprocess 6. Conclusion uinsgino gf aa SmUaSg3n0e4tisct a mina lce hssinsitne ge ljitgu b–e .m Aadcvhainncinegd Mchaatr earcitaelrRisetsi ecsa rocfh i2n0si0d9e ; 6fi9n–i7sh0-: 143 –7 . Theresultsofthisstudyaresummarizedasfollows: [8] KawakuboH,TsuchiyaK,ShinmuraT.Considerationonmechanismofpolish- ingforcein m agneticp ol ishingmet ho dusingloosea br asive.Journa lo fJapan Soc ietyfo rA brasiveT echnologi es2003; 47(12) :672– 6[inJapa nese]. (1) tAh ceounsdeitoiofna rteoqouliwreitdh toal treeranliaztei ntghem magunlteiptilce-apnodlen otinp- smyastgenmet iics [9] iNninsheridwa aHll, oShfiamatudba e Ku, tIidlioz inYg. Falu mida gdnyentaimcicco minpvoeustni gdatfl iounid o(fM pCoFl)is.hIinn:g Ptrhoe- regi ons .Th e leng thof themagnet icregiono fth etoolmustbe ceedin gs o f t he 7th JFPS inte rn ational sy mposium o n flui d powe r. 2 008. p.837–40 . cdoerfirneespdo snod tthoatt htehep obloer-dtieprse dogf etsh.e magnetic region of the tool [10] hKio grhdopnresckiis iWon, Gfinoilsinhii nDg.. MJouurltnipalleo faIpnptelilclaigteionnt Mofa mteariganleStyosrtheemosloagnidcaSlt reuffcetcutr eins (2) Generating as hort magnet icregiononthetoolwithedgescor- 2002 ;13:401–4 . [11] SatoT,YamaguchiH,ShinmuraT,OkazakiT.Studyofsurfacefinishingprocess responding to the pole-tip edges concentrates the magnetic flux using m agneto-rh eol ogicalflui d (MRF)– 2n drep ort :effects ofthefi nishing atthepole-tipedges,whichdoublesthenumberofbordersof behav iorofMRF-basedslu rryo nfinis hi ngch aracter istics.J ou rnal ofJapan th em agneticr egions toattra ctthem agn eticabra siv e.Theu se Societyfo rP recisionEng ineerin g2 006;72(11 ):1402–6[inJap anese]. [12] Yamagu chi H,Shinm uraT,Ikeda R.Studyofinternal fin ishingofaustenitic of this method serves to attract the magnetic abrasive more stainlessste el capillarytu be sbym ag netica br asivefini shing.ASM E Journalof stronglytothetoolbymagneticforceandimprovesthedeliv- Manufac turing Science andEn gin eering20 07;129(5 ):885–92 . erability of the magn et icabrasive tode sired areasdee per inthe [13] YamaguchiH,K angJ.S tudy offerroust oolsininternalsurfaceandedgefin- tube. Thi s a chi eves the u niform s ur face fini shing in the en tire iosfhtihneg oNfo flrte hxiAb mle ecraicp ail nlaMrya tnu ubfea sc tbuyr imnga gRneesteia cr ac bhraInssivtiet ufi tnioisnhoinfgS . MTrEa n2s0a1c0t i;o3n8s: finishingarea. 17 7–8 4. (3) Theinsertionofamagnetictoolwithmagneticabrasive(usedin [14] KangJ,YamaguchiH.Internalfinishingofcapillarytubesbymagneticabrasive the multiple po le -tip syste m) f acilit ates the r emoval o f mat e- tfihneisthw ine gn tuys-ifnogu rat hm aent naustaalbAleS Pa Eusmteeneittiinc g s.t2 a0in1l0e.sps .s1t –ee4l. to ol. In: Procee dings of raibarla fsriovmes tahned wpeicahkes dobf etthwe eseunrftahcee taosoplearnitdietsa rbgye tthsuer mfacaeg.nTehtiics [15] tYoaom lafogrucmhai gHne, tKica nabgr aJ,s ivHe asfihniims hoitnog .FC. IRM PetAansnta ablsl e-M aaunsutefancittuicr instgaiTnelcehssn osltoegeyl achieves asmoothlyfi nishedsu rfac ewi thle ssmate rialrem oval 2011 ;60 (1):339–4 2. [16] ChildressJ,LiouSH,ChienCL.Magneticpropertiesofmetastable304stain- ((aubseoduti nhatlhfe ins itnhgisle ppapoleer-)t tihpasny sthteem u)s.e of magnetic abrasive only l1e1s3s –s4t.eel w ith B CC struct ure. Journal d e Physique C olloques 19 88;4 9(C8):

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