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L地c.1199JouranlofChinaUniversityo fMining&eTehnolo盯Vol.2No.1ASTUD YONJIGIDSTRIBUITOC UNRVETRANSF ORMATIONL“材dix(i路迈西)(De解rltne nto fCoalChangaDhsan(常大山)Uo.皿.dUtUi幼廿。.)Guohzenux(郭珍旭)(Z触ngl lzouComPreh秘ieMvi肚r目sR哄ar比I.ittute)A加t.rCtAninevstigationoftheer ro rrsesultedf romdisrtbiutioneuervtarnsf oanr rtionsusingsixdifefe nrtmethdoswasantdeonthebasiosf16setosfjig per f ormanectestdatafromtheeoalprepaartionplantsinChina.hTeresultsindiaetethatminimumer roroe eruerdwhendistributinoeuervsewretarnsf ormedbyke epingimperef ctino1eonstant.Generalizdedistributioneurvesaredevelopdef orjigsadntheiarp plieationsarediesus sedK灯owrds:jigs,distributio ne urv e,gener alie zddistirbutio ne u r ve.1Intr odutionJigging15themostw idelyu s ede o alpr eparationmethodathomeandabro ad.Mor ethan60%ofele anede o al15produ e edw iththegravityseparatio nmethodsinChina.T here-f or e,jiggingtake supanextremelyimportantpositioninChin e s ee o alpr eparationindu s-tryEvalu ationa ndpredietionofjigperf ormane e salln e ed distributioneu rve s.Theeon e eptofthedistributione ur vewa sputforth fir stbyTrompin1 9 3711.T heabseissaof distri bu-tione urvesrePre s entsthedensityof min eralswhiletheprdinaterePresentsthePa rtitionpere entageofe a ehdensityfra etio ninthefeedwhiehgetsintothehea vypr口duet(orIightproduet).T hede n sityatwhieh50%ofthematerialsgetsintotothehe avyproduet15knowna sthesePa r ationdensity(DS。).T hepartieleswiththes epa ratio ndensityha v ee-qualehaneetoentertheheavypr odu etorthelightproduet.Inpra etiee,theef fieie neye ann otreaeh10 0%a ndit15in evitablethatthelighta nd hea vypartiele sar ee o : ltamin atedandmispla e edw ithe aehother.50thedistributio ne ur vetakesa n“S”shape.T heste eperthee urv e15,thelessthemispla e ementa nde ontaminatio nw ill be,andthehighertheseparationef fieien eywillr ea eh.Ter ra,in19 38,ProPosedthattheProbableerro rbeusedtodeseribethesteepn es sof distributione urv es2.It15writ te nas:E,=1/ZX( D7。一DZ 。)(l)whereD75andDZ。ar ethedensitiesofpartitionat75%and25%respe etively.Inevaluating119performane e s,it15fo undthatforthes amesepa r ato rdif ferents epa-ratio nde nsitiesha vediffere ntE一TheE,valuein er e a s e sasthesepa r ationde nsityinerea s-e s.Whe nPredietingthepe rforman e eofajig,wefae ew iththepr oblem:howtotransform80Jou ranlofChianUnivesrityofMini雌&Te ehnolog yVol.12919theaetaullyobtained distributionveeu rteorndertheerr orofpredietinominimum?Leerhar,aFre nehres e a r eho rgnization,proposedtheeone eptoftheimperfeetionl3,whieh15defin eda s:I=E,/( Ds。一l)(2)e Blugous uggestedthatthe凡v alueeouldnoteliminatetheef f eetofs eparatio nde nsitywhilethe1valu e15n otaff eetedbythevariationofseParationdensity.AC hin anation aleriterion,GravitySeparato rfo rCoalEvaluationofTe ehn ologie alPerforma n e e,stipulatesthattheimPe rfe etion115u s ed fore valu atingthesepar ationperf or-ma n e eofjigs.Thismeansthatf orpredietionofjigperf ormane e,theimperfe etionshould bekepte on stantintr an sf ormingthedis仁ributio neur ves.IntheU.5.,thegen eralizeddistri-butioneur vedevelopodbyGottfried115widelyadopted.T hege neralized distributione u rve15obtainedinsuehawaythatv ariou sd istributione ur ve swereredue edtoonewiththetr ansformationoftheabseis s atoD/Ds。(D15thedensityofpa rtieles).Ve rtually,it15trans-formed bykeepingE,/Ds。eo nsta ntInfa et,va riou smethodseanbeusedfo rthetransformationof distributio ne ur ves.T heproblem15whiehon e15thebe st.2Investi gatio nPr o eeduresT heva riatio nof distributione ur veswiththesepa rationde nsitymaybefigu r edoutthr oughagre atnumberoftestsbysamplingthefe edandpr oductsofasepar atoratdif fer-entsepa r atio ndensitie s,andthene ar ryingo utsizingandf lo at一sinktests.Butgre atdiffieul-tie se xist.I ftestsweredoneonasmalllabor atoryjig,smallpartielesiz ematerialsmustbeused,ea usinglargedeviatio nsofoperatinge onditionsfromthepra etie e.Theresultsob-tainedwouldbeofpo orrepr e s entation.Ifte stsweredoneona na etualplantjig,agreatamountofmanPowerandmaterialswould bee onsumed du etothehugesamPlequantity.Moreover,Pra etiealproduetio nwouldn otpe rmitthesepa r ationde nsitytobeehangeda rbi-tr a rily.T her earemor ethan10 0eoalpr eparationplantsinCh ina,80%ofwhiehareequip pedw ithjigs.T heus edjigse anbeelassifiedintotwotypes:theunder一sere e n一air一eham be rtypeora BtaetyPea nda BumtyPe.Thes eParationdensitiesa r ediff erentindifferentplants.Manypla ntsdidthe119PerformaneeexaminationtestsforsomepurPose s.T hes ete stdatashould beus efulforthes olutionofourProblem.T heauthor seolle eted150setsofre e entjigperformane etestdataandsele etedout6 1ProPersetsf romtheminwhiehthee rrorwaswithintherequirementofthee rite rion.Ofthe6 1datasets,34s etsarefr omtheBa um1195and2 7setstheBata ety pejigs,whiehareserveda sthefundame ntalinformationoftheinvestigation.A lthoughthestru etureofjigsus edinChin a15dif ferent,thedif fer en e esbetwe e nthes ametypesaren otsignifie ant.T hejigperforma ne ee x amin atio nte stswe r ealloper atedbyope r atorsw ithhighskills.Ite anbethoughtthatthereweren olargedifferene einoper at-ingle v els.Withtheabov eas s umptions,forthes ametypeofjigs,thedistributioneu rvesofLuMaixietal.AStudyo nJigDistributionCurv eTransf ormatio n8ldif fe r ents eparationdensitiesshoulbder edue edtoanide ntiealonethroughthetransforma-tio neaeordingtotheidentiealseparationdensity.Preatieally,du etother andome rror softests,thePointsmaynotshaPeasmo othe ur vebutseat teraroundabr ainbornsmootheur ve.Differ enttransformationmethodwo uldpr o-due edif fe r entdistributionfo rmofpointsa nddiffe rentdegre eofse at tering.Whenmathe-matiealmodelsar eus edtofitthetransformedPoints,diff er ente r ror swouldresult.Thelarge rtheseat teringdegre e15,thelargerthefit teder rorwill be.It15ele a rthatthetra ns-formatio nwaywiththeminimum fit tederror15thebestone.3T heMathematiealModelsofD istributionCurve sTheauthor sProPosethatsixmodelsbeusedtofite o alPreParationdistributioneu r ves5.T heyarewrit te nasfollows:Aretangentmodel:、矛、.沪,J月马Z、rZ、Y=100(t:一aretan(k(X一c) )/(t:一t,)Hyperbolietange ntmodel:Y100(a+b 火th(k(X一X。) )w he reth(u)(e“一e一“)/(e“+e一)Modified hype rbolietangentmodel:Y-10 0(a十bXth(k(X一X。)十尤)model:(5)NormalD istributionfunetionY一10。(+可:二p(一(X一 X。)2, dX,(6)Modifiedn ormal distributionfunetionmodel:Y一10。(+可砚:二p(一“X一X。)2,X +X)(7)Weibullmode:Y=100(Y。+aexP( 一(X一X。)/C) )Inallabo vemodels,X15thedensity,YthepartitionPe re e ntageofpartiele s(8)ofthedensityX,a ndtheother sAnon一!inearte ts。ar emodelPa r amete rs.fittingte ehniqueV甘a su s edforthedeterminatio nofthemodelPa r ame-4Tr an sformationWaysofD istributionCurve s4.1TheF ittedEr rorsofD if fer entTransformationWaysThedistributione t一r vetran sformationsa remadeondoze n softhesele eteddatasetsofthefirstandse e ondstagesoftheBata ea ndBa:一mtypeJigsbykeepingeaeho neofthesixte rms(E,E户/D。.E,/(DS。一12)E户/(D。一l0),E,/(DS。一0.8)andE,八D。一0.6)e on sta ntwhiletheremaining5ehange.Aftertran sformation,theabovesixmodelsareusedtofitthenewlyobtained dataa ndtheoptimumfitteder rora r efot一nd.TheresultsareJo ua r nlof Chi朋Univ es rityofMiinng&Te chnolo盯Vo】.2 19918 2giveninTab lel,andFigu res1andZ介七kIF奴认滋行r.o ft r的时or.ed di s幻比b.伪粗c.r ve s恤d 甘全.件毗,.羚T T Transo fr . 口一一S S Ss tag e e eiFt td eero rr r rFittd eero rr r rMath。md eel l la a ationway y y y y y yo fra Bta cjig g go fra Bumjig g g g gK K Ke epig nE ,e os nt. . . . .l l ltoobig g gto obig g g g g! ! ! ! ! ! ! ! !to obig g gto obig g g g gK K Ke ePing g g g gI I I6。583 3 36.242 2 2Md oiifedhy Perbolie e e凡凡/Do o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o smd oel l lC C C O n 吕t- - - - -I I I6。980 0 06。3 60 0 0 0 0K K Ke epi叱叱1。2 2 2I I I3.083 3 33。996 6 6Areta n g ent t t凡凡/(Do s一S) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )md eel l lC C Const- - - - -I I I3。6 11 1 13。846 6 6 6 61 1 1 1 1。O O OI I I2。444 4 43。168 8 8 8 8t t t t t t t t t3。14 1 1 13。047 7 7 7 70 0 0 0 0。8 8 8I I I3.182 2 23。747 7 7 7 7I I I I I I I I I3.20 2 2 23.640 0 0 0 00 0 0 0 0.6 6 6I I I3。36 3 3 34。652 2 2 2 2l l l l l l l l l3。474 4 44。408 8 8 8 8r地V3.7Oe v-一lstSTAG E城ZndS TAG E一lstS TAGE一ZndS TAGE4。03。5,目 ,. 3 . 22.23。01.20。60。81.01.2Fig.1Th ee rro roft恤transf o rma tionw好5o fFig.2a Btaetye Pjigdistributioneurv es5ist卜evai rab leofthete rmE,/(D、。一S)Th ee r ro rofthetra nsf ormationwaysofa Bumty Pe五9distirbutione urv e s515theva riab l eofthete rmE,/( Ds。一S)La rgefit teder rorso e e ur redwhe neur ve sweretransformedbykeepingtheE,eo nstanta ndsmaller ror saro seifthetransformationwasmadebykeepingl(E户/( D。一1) )un-eha nged,theer rorbeingabout3%.Eaehtr a nsformeddistributione ur v ewa sformedbyfit tingmoretha n10 0knownpointsfromabout30setsofjigte stdata.T hesepointseontaine rror sr es ulti:飞9fromtheoperatingeonditions,theseParatorstruetures,thee xperime ntsandthedif fer e n eeofrawe oalnature.Takingthe s efaetor sintoa e eount,thetotaler rorof3%15as atisfa etorya e e u-fa Cy.8 3LuMaii xetal.AStudyo nJig肠s仃ibutionu Cv reTra n:f orm atio nT.bleZTbe沙n e r目奴曰di成i rbuti血c u r, em识加 1o fB.勿c.d加umty讲j五朗J J Jig g gStage e eAr etanmodel:y=100(t:一a ertan(尧(二一c)/(t:一考:) ) ) )Fitted d dE E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E E r ror r rk k k k k k k k kC C Ct1 1 1t: : : : :B B Bata e e eI I I4.4189 9 90.961 62 2 2一1,32318 8 81.95 55 3 3 33.16 8 8 8互互互互4.07475 5 50.94585 5 5一1.25481. . .1.52 208 8 83.047 7 7a B B Bum m ml l l4.73889 9 90.93092 2 2一1,31 22 1 1 11,98189 9 92.444 4 4l l l l l l l4.83471 1 10.95902 2 2一1.334 93 3 31.54957 7 73。141 1 1T hetr ansf ormatio nw ayof - keepingtheIvalueeo nsta nthasn rinimumfitteder ror,soit15thebestone.T hemodelwhiehProdu e estheminimume r ror15n ominateda sthegen e r 孰卜izeddistributio neur vemodel.Table2andFigures3,4,5and6showthegen erali沈d distri-butioneu rve softhefirstands e e ondstagesof Bata etypea nda BumtyPejigs.1 0 0100x性咭送丙月808 0:飞(%2 01 卜 l卜召咤岛6 0604040(次)之它卜 卜一“咬山2 020芝_鱿万钊0Le e.O、000.400,801.2 01.6 0R EOUC它0O ENSITY2.00O J0.0008 01.602.40REDUC EDDEN S 了 了丫3.204003Th egen erali:eddistributio ncu rveofthei fr ststageofB ataety pejigs,x一thetransf orroedPartitio no pint3iFg.4T heg en ea rli跳ddistributio neur v eofthe,e e ondstageofa Btaet即e苏95,x一thetr an sformedPa rtitio nPointsThepred三et五onero rs rofj三 9performan ces五nd if fer,nttra nsformatlo nways?1 92F。4Inordertoinve stigatefurthertheer ror seaus ed bydiff erenttra nsformatio nwaysfroma notherpointofview,predietion sofele ane o alyieldweremadebyapplyingthege n eralizeddistributio ne ur vesfor20Pla nts.Theobtain edr elativeer rorsbetwee nthePredietedyieldsa ndtheaetu a!yieldsaregiveninTables3(a Bta ety pejigs)and4( Bata ety pejigs).T heav-erageerrorofpredietedyieldsfordiff ere nttra朋f om ratio nwayo15illu stratedinFigure7.84JuoarnloChfianUniv ersityofMini叱&TehcnologyVo】.1219 9010010I六进鱼J资广榨广“80800640次201卜卜 工州咬氏山U拓匕次)八U,之01卜11国哎岛2O。认0。0 02 00.40Q.8 01.2 01.602,0 0RE D UC石0D EN St TY1。6 0R E城JCED2.40D ENSIT Yo. 0L漪冷3.24.0 0Fig.5Th ege耽r aliz eddistributione u r v eofthei frststageofB sumt即e五梦,x一thetrans-f om redPa rtitionp ointsT hegenea rli名 eddist r ibutioneur veofthesc e ondstageofa Bumtypejigs,x 咬hetr ansformedPa rtitionPointsIte anbes ee nthatthePr ed ietedele ane o alyieldswithtransformatio nbykeepingE,/D。o rE,/(D。一o6)eonstantarehigh-erthanthea etualone s,relativeerrorbeingabout10%,w hieh15to ohigh.Thepr ediet-edeleaneoalyieldswithtr ansf ormationbyke epingE,/(Ds。一1.2)unehangedu s ual lylowertha ntheaetualswith la rgerrelativ ee rrors.ThePr ed ietedele ane o alyieldswithtr ansfora mtionbykeepingE,/(D。一1)eonsta ntfluetu atear oundthea etuals,rela-tiveerrorbeingabout4%.Clea rly,thetransfo rmationbyke epingE,/( D。一l)eonstantProvide sminimumPr edietione r-10.09.0已.07.06.05.0一BAUMJ IG一BATACJ IG4。03.0060.812Fig.7Th eerr orsb etw e ena ctual如e l dsad npre-dietd eo ne sin20plantsf ordiff er e ntta rnsf ora mtio nwa邓,515thev ariableofthetermEp/(D、。一 S )r or.The:esultsa一s。implytha毛forthejigs epar ators,比eevalu ationoftheirperforma n e eu singinde ximpe rfe etio n1 wouldnotbeaffeeted bytheva riatio nofsepa rationdensity,andthatinpr edietionofgr avitys epar ationperforman ee,transformingthedistributione urvebykeePing1eo nstantwouldPr ovideaminimume rror.LuMai石etal.A Studyo nJig肠stributionCur evTr ansf ormat三on85T扭ble3Er ro reo. Par坛ouo fd if ferenttra . f orm时ion”ysof d 五 s t r lbutlone .r” ,(Bat.)P P P lant t tRe al l lAsh h hr Pedieted如eldw ithdif f ee rnt t tRelativee r rorofthepredietd eyield d dn n nsn飞e e eiyeld d d(%) ) )transo frro atio nways:E,八Ds。一S) ) ) ) )( ( ( ( (%) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )S S S S S S S S S=O O OS二1.2 2 2S二1.0 0 0S二0.8 8 8S=0.6 6 6S=0 0 0S二1.2 2 2S 二1.0 0 0S=0.8 8 8S谧0.6 6 6N N N0.1 1 167.7 1 1 110.57 7 773.5 3 3 363.7 5 5 56 9.41 1 171.86 6 67 1.97 7 7一8.60 0 05.85 5 5一2.51 1 1一6.1 3 3 3一6.29 9 9N N No.2 2 255。56 6 66.22 2 262.30 0 05 1。3 1 1 15 2.79 9 960.07 7 760.53 3 3一1 2.13 3 37,65 5 54。99 9 9一 8.12 2 2一8.9 5 5 5N N No.3 3 319,68 8 89,71 1 126.93 3 319.04 4 419.25 5 521.90 0 022。03 3 3一36.84 4 43.25 5 52。18 8 8一11。2色色一11.9屯屯N N No.4 4 458.52 2 29.7 3 3 362。4 6 6 652.64 4 456.76 6 662.01 1 163。43 3 3一6.73 3 310.05 5 53.0 1 1 1一5.9 6 6 6一 8.3 9 9 9N N No.5 5 562.26 6 67。76 6 669.3 7 7 75 8。20 0 061.61 1 166.66 6 666.9 5 5 5一11.42 2 26.5 2 2 21.04 4 4一7.0 7 7 7一7.53 3 3N N No.6 6 649。18 8 89.3 9 9 955.42 2 243.9 0 0 046.71 1 152.94 4 453。12 2 2一12.65 5 510,74 4 45.02 2 2一7.65 5 5一 8.Cl l lN N No.7 7 751.40 0 010.57 7 765.34 4 456.2 3 3 354.16 6 656。69 9 957。02 2 2一27.12 2 2一9,40 0 0一5.37 7 7一10.2牙牙一10.9 3 3 3N N No.8 8 865.30 0 08.52 2 272.94 4 46 1.24 4 469.25 5 570。13 3 370.62 2 2一1 1.7C C C6.22 2 2一6.05 5 5一7.40 0 0一8.15 5 5N N No.9 9 965.97 7 711.16 6 673.6 6 6 670.19 9 967.56 6 671.49 9 972.77 7 7一11.66 6 6一6.4 0 0 0一2.41 1 1一8.37 7 7一ID.3 1 1 1N N No.10 0 068.08 8 89。62 2 279.69 9 964.6 5 5 57 134 4 47 4.57 7 775.41 1 1一1 7。06 6 65.04 4 4一4.79 9 9一9.53 3 3一10.77 7 7T T T hea v erageoftheab3 olutevaluesofther elativee rr or s s s15.5 94 4 47.112 2 23。73 7 7 78.180 0 09.127 7 7T.ble4Err ore omP.ris ono fd甘fer e.ttm.fo甩比on,.yso fdi stir加Uo .c uv e rs(Bau.)P P P lant t tRe al l lAsh h hPrd eieted如eld withdifferen t t tRelativ eeo r rrofthePr edietedyiel d d dn n n aDle e e如eld d d(肠) ) )tr an sf ormationways:E,八Ds。一S ) ) ) ) )( ( ( ( (%) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )S S S S S S S S S 二0 0 0S=1.2 2 2S=1.0 0 0S=0.8 8 8 S=0.6 6 6S 二0 0 0S=1.2 2 2S=1.0 0 0S =0.8 8 8 S=0.6 6 6N N No.11 1 154,74 4 47.6 0 0 06 7.4 2 2 250。14 4 455.22 2 257。44 4 459.59 9 9一23.l e e e8.4 0 0 0一0.88 8 8一4.93 3 3一 8.86 6 6N N No.1 2 2 24953 3 311.29 9 954。40 0 04 3.07 7 747。81 1 146。88 8 851.90 0 0一9.83 3 31 3.0 4 4 43.47 7 75.3 3 3 3一4.78 8 8N N No.1 3 3 347,65 5 510。25 5 555。55 5 54 4.48 8 849。74 4 452。54 4 453.78 8 8一16,58 8 86.65 5 5一4.39 9 9一10.26 6 6一1 2.86 6 6N N NO14 4 452.26 6 68.9 8 8 859.30 0 048.23 3 350.49 9 954.48 8 855.3 3 3 3_l q左, ,7。71 1 13.39 9 9一4.25 5 5一5.87 7 7N N No.1 5 5 526.3 1 1 16.88 8 834.33 3 321.34 4 428.83 3 332.34 4 434.37 7 7一30.48 8 818.89 9 9一9.59 9 9一22.92 2 2一30.63 3 3N N No。16 6 66 2.4 5 5 511.32 2 268.24 4 457.1 1 1 160.3 5 5 565。51 1 166.80 0 0一9.27 7 78。55 5 53。36 6 6一4,90 0 0一6.6 7 7 7N N No.1 7 7 745.02 2 213.04 4 45 4.71 1 14 0。04 4 446.68 8 84 7.63 3 351.07 7 7一21.52 2 211.06 6 6一3。69 9 9一5.80 0 0一13.44 4 4N N No.1 8 8 857.97 7 79.1 1 1 16 6.52 2 25 5.67 7 760.63 3 359.43 3 361.79 9 9一14。75 5 53.97 7 7一4.58 8 8一2.52 2 2一6.59 9 9N N NO.19 9 954.31 1 18.16 6 65 8.4 7 7 74 976 6 651.08 8 85 5.36 6 656.14 4 4一7.66 6 68.38 8 85.94 4 4一1.93 3 3一3.37 7 7N N No.20 0 073.88 8 810.26 6 677.54 4 468.93 3 375.0 4 4 475.91 1 176.47 7 7一4.95 5 56.70 0 0一1.57 7 7一2。75 5 5一3.5 1 1 1T T Theavera罗oftheabsoutev alue softher elativeer rors s s15.17 7 79。34 4 44.0 9 9 96.56 6 69.69JournaloCfhinaUnie rvsityofMining&T eehnologyVol.12991865TheGeneraliezdDistributionCurvesAsdo 名ensdeseribedabove,thegeneraliz ed distributioneurve saredevelopedo nthebasisofof datasetsofjigmane eofthejigsu s edPerfo rmane eexamin ationtests.Theyr ePre s entana ve r agePe rfor-inC hinaTahle5TaUesshowsthetransformedimperfe etionsofthefir ststageandsee ondstagegeneralizeddis-tributione urve softhea Bta ea nda BumtyPejigsJ J Jigty pe e eFirstst昭e e ee Seondstage e ea B B Bta c c c0.295 5 50.215 5 5B B Baum m m0.2 96 6 6O。1 90 0 0T.目eAdu.】加产才.比jo.o fj二 95inv ee r川c oalPrePar.donI P皿肠P P P lanta nme e ea Bumjig g glPan tna r o e e ea Btaejig g gS S S S Stagel l lStag el l l l lt Sag e! ! !t Sagel l la D D Dtu n n n0.280 0 00.20 0 0 0XingAn tan n n0.279 9 90.21 5 5 5G G Gaok eng g g0.290 0 00.266 6 6Gag ni zyao o o0.26 6 6 60。207 7 7Z Z Zha oGezhang g g0。285 5 50.214 4 4Lo ngFeng g g0.302 2 20.180 0 0S S S huangya shan n n0.2 68 8 80.213 3 3Guan如ntag g g n0。284 4 40.17 9 9 9X X Xieyi i i0.265 5 50.208 8 8Housuo o o0.276 6 60.203 3 3P P PingHu u u0.2 74 4 40。19 8 8 8SanBao o o0.308 8 80.186 6 6X X XinZhi i i0.3 05 5 50.223 3 3LiangZhuang g g0.291 1 10.187 7 7J J JianXin n n0。2 99 9 90.205 5 5FeiC heng g g0.263 3 30.202 2 2C C ChengZi址址0.304 4 40。221 1 1Gu ojia zhua ng g g0.277 7 70.187 7 7E E E泊Gua汕e e e0.274 4 40.219 9 9Tangshan n n0.273 3 30.192 2 2Pra etie al ly,theimperfe etionofjigsar eu ndulate.Tab le6pr e s entstheaetualimperfee-tio nsofjigsofsev eralplants.Asthegeneralized distributione urve srepre s entana v erageperf orma n e贬 le v elofjigsope r atedinC hin a,theyareof highpra etiealvalueine valu atingandpr edietingthejigperforman ee s.Sumarization15madea sf ollows:(l)T hei珑perf eetio nsderivedfromthegene r alie zd distributioneurvese anbeap-pliedtoev alu atingjigperformanee.Ine v alu ating,thejigs epa rationeffieieneyindexea nbefigu redouta e eordingtothediff erene ebetw eentheaetualimperfeetio na ndthege n er alizedon e.T heeffieien eyinde x15definedas:E了=220(.I一I。)+75(%)(9)w here. 115theimpe rfeetio nofthegene ralized distributioneu rve几15thea etual imPe rfe etion.Ite anbes e enthattheles sthea I15,thehighe rtheE,andthebettertheseparatorper-f ormaneewillbe.Valu esinTable7ar es ugge stedtobeusedastheerite rionofjigperfor-ma n e eevaluation.LuMaixietal.A StudyonJig场stributionCuv reTransf ormation87T.目e,E E Evalu ation n nPOor r rgod d d oEc xellent t tE E E/%0.235 5 50.1 7一0.235 5 5簇0.17 7 71 1 1ofStg.1fo rBatae e e)0.26 6 60.1 9一0.26 6 6(0.19 9 9(2)Comparingthea etu alresultswiththepredietedonesfromthege