【ZM080】灯罩塑料模具设计[KT+FY][点浇口]
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【ZM080】灯罩塑料模具设计[KT+FY][点浇口],zm080,灯罩,塑料,模具设计,kt,fy,浇口
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CH IN ESEJO U RN AL O FMEC HAN I C ALENGIN E ERF又GV ol.18,No.4,2 0 05.60 9.YuT OngminLiGUanhUaD ESIGNTECHNOLOGYFORINJECT10N MOLDRARTINGSURFACE BASEDONCASESAND KNOWLEDGELIYbUminA bs t ract:ont h ebasisoft heeom Pr e he nsiv ea nalysisa bout thea ut o ma tiegener a tio nof t hei n je et-La nJianKe yLa冈r at or y f orP旧dsio n andNon-tr aditio nalMaehining飞ehnolo gyofMini a tr y o f Educ aUon,D川讯nUni Ve内t yofT eC hnolog叭Dal ian11602 4,Chinalo nmo, d pa r t、 甲 旦 犷华ce,t hePa r t ingsu r f a ce户臀即卿t hod .w h i三h卿duce管卿oWle瞥严dc冬se万ba sed r easo nmg(CBR )mtot hec omPuter -a laeade slg n15aescnD eooyeomo lnmgw it nt ncacu a,ehara eteristieinin je etio nmoldde sign,a ndt hedesig nProee ssofease一basedreaso ning method15alsogiven.Ae asel ibr ar yIn eludin gt heIntor matlo norPar tlngsu r丈aee一5ou一rw一 tntnemae xormainsha Pef eat t甘es.T hea utomatiedesig noft hemo1dPa r ti ngsurf aceisr ea lizede om bi nedwit ht hef or 胃a rd一rea so ningmet hoda ndt he51而la r it y5 0】utionpr oe edu r e.T her ulek nowle奴elibrar y15alsoimPr oved.Keywords:I n jeetio nmoldPa I tingsur i触cede signCase一ba sedr ea soning(CB R)Simil葫t ysolution0IN T RODUCT IO NBeingon eoftheim Por ta ntstePsinin je ctiontheehoie eofPa r tingsu rf aeehasandire etlyef f eetmolddesig n,ont hege ner alf ra mede si四.moldma kinZeo st,t hep叭in只su rf ae ema ehininga ndtheq uallt yottnetlnalPla sncPa r ts一botn era tlo na lehoosingofthePa r tingsurf aee15thePre e o nditionofasu e ee ssf ul in je etio nmol dde sig na ndtheba sisofrealizingin je etio nmol dingPa r ta ntoma tieandsoPhistieateddesign.Inre eentyea rs,resea reh wor kont hePa r tingsu rf ae ea ndmolde om Ponentsa utoma tie al ly ge n er a tio n15o n eofthehotsPotsa nddif f ie ultie sinthein je etio nmoldingCA Df ield,andmanyrese afche rs a ro und t hewo rld ha vedo neremar ka blewor ksabout1FR AMEVVORKOFKN OWL E DGE A NDCASE-BASEDREASO NINGPA RTINGSUR FAC EAUT OMA TICD E SIGNt hisissue.But tho sePrio rwor kste ndtoesha Pea ndit sPo sit io nrela t io nsofP毯r tingsXPr CSu rf a cSSe onst r Uetingsome。umer ic almodelsba sedo nt hegeomet r yall一a rou nd byt hee s se ntiala nalysisof t hePlastiePar t5sha pest r uet u reeomPlexit yofPlasticP出kinds ofshor tc omingsinPra ctice2一5.Du etothediv ersit ya ndts.tho semethodsh8 Ves omeWit hm uehexPer ien eea ndlit tlet heor yf ormoldingde sign,t hePa r tingsur f ac ede sig nmethodWhieh int r od ue e sk nowledgeandease一based r eas oning(CBR)intothe eom Puter一aidedde sig n15Pr ese ntedbyeombiningw iththedesignPr oeessof in je etio nmoldingde sig n,5 0t hatthemoldingPar tse a nbege ne ra teda utomatie ally .K nowledgea ndca se一ba sedre a so ningme a n s即Pl ying51而Iar it yjudg l ne ntPr oeedu r ea ndanalog ismtoha ndlean ewde sig nt ask bye onstr uetingk nowledgelibrar yandea selibrar ya ndre sPe ctiv erea soningr uleont hebasis ofeombt hek nowle dge皿dr uleofPar tingsu rf a ced esi郎Su eeessf ulengln e er sPr ineiPlesueees sf ula Ppr oac hde si即份于s忠“Pdt h犷su c c e,铆)“x Penen c乡or ga n 1Ca lly一,tnl lsmen ewQeSlg nn o to n ly的dofTf it sofmoldPar tingsu rf aeebutals oineludest heexPer ieneeoftho s ef on nere ase sAsar esult,t his15mor ee onv e nient,quieka ndPraetie alef f eetiv ecom Pa redtoan al ysisa ndsolvingt hePa r tingsu rf a cede signbyco n st r Uetingnu merie alm odel.FU r thermo rethedeseriPtionofPa r tingsur f aeedesig nexPerie nee sa ree asi lyex Pre ssed byt hec asesra the rthantheabst raetdesignr ulesa ndexPressio ns.50thek nowledgeandea se一ba sedre a s o ning Pa r tings u rf ae ed esig nmet hod 15ver ysuita blef ormolde nginee r5tho ughtf ashio nand1】18l lner.Reeeive dMay26,200 4;re ceiv edi nr e vised f or mAug Ust17,2 00 5;a eeePt edAugu st3 0,2 0 0 5Thege ner alideaofk nowledgea ndc a s e一basedreas oningPa l tingsu rf aeedesig n15t of ou ndae aselibra r yusings ucee s sf ulPar tlngsu rf a Cedesig nsinter mofm oldedPa r tst y Pesa ndgeometr iec ha raeter .T hemainsha Pef ea奴i r esofmol dedP斌a reindexe soft hisl ib ra r y.Af tersea rc hingt h esimila rea sewit ht hePa r t,smainsha Pef eatu ref r omt he e a sel i br ar y ,t hePar tings ur i臼e ec a nbegener a tedbyjudgi ngf r omt hesimi la r it ypr inei Plea nd t hegivenrea so ningst ra teg y.Att hesa met i me,theeo rr ela tivek nowle电ea ndPrineiPle sofPa r tings urf ae edesig na ndthedesig ner5ex Per ie n e es ea nbesunn na r ized intok nowledgeli bra J了,w hiehea nbeque r ieda ndco n sult ed byde sig ner sast hea s sista ntinf or matio nofPa r tingsu到 臼e edesig n.T heeaseeom Po n e ntoft hemet hod15u sedf ort her easoning de sig n,w hilet hek now led ge o n ef ortheg ui dan eeofde sig ner5r a tio nalsele et ionofPar tingsur i臼c e,T hek nowle dgeandcase一basedr eas oningPa r tingsu rf ae ede si助mainlye onsists oft hef ollowing:Co n st r uetingk nowl-edgelibr山下.Ai而ng a tt hePr a ctic eofin je et io nm old ingd esig n,ak nowledgelibra r yofPar tingsur i触e ede sig nr ules15f oun dedthro ug heon eludinga ndinteg ra tingt her elated如owledgea ndr ule sofPa r tingsU rf ae ede signa ndt hedesig ner se xPer iene e s.Const r uet inge a sel ibrar yofpa r t ingsu rf ac eposi tio n.Aea selibraryofPa r tingsu rf aeePosition15eo n st r uetedba s edo nthet y Pe sof mol dedPar tsand t hePr evi ou ss u cee ss创d esig nea ses,wh iehe onsists of t hede ser i Ptio nofeasesa ndthest r uet Ureofc asel ibrar y,Thekeyofdeser i bin gt hePo si t io no fP叭ings u rf a ce15tosor ta ndor ga nizet hesha Pef eat ure s ofcasemodelsa nd de ter n unethee or re sPo ndlngPosi t io nofP训ngs u r f a cea ce ordingtot heva r ia n tsh即eofmoldedPa r ts.Beea uset hePa r tingsurf aeePosition15ma inl ydeten ni nedb yt hePa r t,5sha Pef ea l卫re,t heor ga niza tionofe a s elibrar ysho uldbeProPitio u stot heea sesea rc hi nginde si助n r oe e ss.xden tif iea t io nofmoldedpar tssha Pef eat ure.Thesha Pef eat U re sofor i g in alPa r tsho uldbeide ntif iedbef o rede ten 朴Iningt hePositio nof Pa r tings u rf ae e.T he ref ore,t hem ainsha Pef eat t甘esindexn e edtobef ou ndedaim inga tt hetyPeofmoldedPa r tst r uet u reT hu st heseat n le ssjointbet we e nmodelingm eldedPa r ta nddesig nm od uleofmol dP田七ng孤f a ceoa nberea l ized.Asar es u lt,t he访he r itedcha racter istieofsystem15a ls oimP r oved.Systemr easoninga ndse arehing model.Sea rehinga nd matehingthesimila rshaPe.6 10.迎些些些些i丝 卫旦丝四t ech nolo即f ori n jeetio nmoldpa r t哪surf ac eba sedo nC a seSa ndk nowledgef oa t ur eof Par tmodelf romthePar tingsu rf ae ePo sitione ase s15thePr imar ytaskofthePa r tingsu rf aeePositio nea se,5searehingRec ommende dst yleUnady一 sablest yleeou rs e.He neebuil d ingthesha Pef eat ureinde xodmodel15e o retore alizeexa eteas eAutomatiegen erationre aso ninga ndquieksea r cht heing、of Pa r tingsu rf ae e.Af t erPer f or mingdesignma rehinga ndad justingaboutt heseleetedPa r tingsurf aeePo sitio ne asewhieh1551而la rtot hesha Pef ea t ureof moldedPar t,then e ede dmoldPar tingsurf aeeea nbegener atedau tomatie ally.sto rageofe ase s.Thoab un血nte asel ibr娜ofPa r tings u rf ae ePositio n15t heimPor tantf ou ndatio nt oimpr ovethedesignqu alit yofmoldPar tings u rf a cea ndreasoningef f ieieney.ThesystemPro vide sstoragejudgme nta ndsele etio nba sedo nela ssif ieationbyeasef ea t ure sa bou tthef inal lyre sultofea ehnewde sig ntask.Thef loweha r tofk nowled gea ndea se一ba sedr ea sonin gP叭i ngsurf ae ede sig ning 15show ninFig.1.幕幕幕Fig,2Dem on st i习tionof t hek nowledg elibrar yof Pa r tingsu rf ae ede sig nMMModel吨pa r tf e目双佗s s sF F Fe atu relde nd 五c at io n n nMMMa加hi n g阮丘泊加几s s si i i n de xe d昌盘s h a pe e e卜卜卜卜卜卜卜卜卜卜卜md t hec asemod el l l Ca sel i b铆。f f f f f51 功jl a rsimila r t ot he e e pa r t,性州破e e e e epor ts b叩e e e1 1 1p o. l一 on n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n nD D D D D D D D D D D D D D D D D D D D De比r u u net heP叭i n gsu r 血c e e eu u u s in gs im i l耐t y5 01诵。p p p似e d 址eb助碱o nt he e ee e e口 日 七扣口。del l l人人d dt ot hec姆libmr yof f fp p p州如g,世血cep osi t io n n nThePar tings u rf aeede sig nmainlyha srelatio ntothemainshaPef eat ureofmoldedPar t,a ndtheidentif iea tionofthemainsh叩ef eat Ur ealsoPlay sale adjngr ole主ne a s ese ar ching,I刀山jsrega rd,t hest r Uet U reofe a s elibrar ysho ul dbeo rga niz edae eordingtot hesha Pef ea t ureof Pa r t,a ndthehierarehie alf eat uret reeofmol dedPa r tshoul dbee o n st r ueted,by whiehthepar te as eseanbeelassif iedst ored.C lassif yingtheshaPef eat Ure sof Pa r tsbyt heirdif f er e nteha ra eters,thee om mo nf aetorsofPar tmodelea nbeext raeteda sthePa re ntn ode.Theehil dn odeea ninher itallofat t r ibute s加mthePa rentn ode,andeont ainmor ef eat ur estl ia nt hePar entone.Asf a rasa sing lee ase15e o n e er ned,alo ngwit hthein he ritedrela tiongoingthr oug hla yerbylayer ,t hen um beroff ea姗ea t tribu te swillin er e aseT hef eat ureat trlbutesa rem oreaPt tode seribingeo n eretelya ndbyin st ane e,a ndt hee om Plexdegr eeoftheirrelation s15als oin ereased.Thisela ssif ied叩Proaehe a nhelPtosea rehtheea selibr田了 indexed byshaPef ea加re sa ndtosolvet hemodedP洲withe omPlexs ha Pe.33.1CASE D E SC R IPT IONS ANDSEA R CHINGCa sedes er iPt ion s2BUI L D I NGOF KN OWL ED GELI B R A R Y A NDCAS E LIB R A RYThek nowledgelibra r y15t heil n Por ta n tr es o u rcet ha tea nassistdesig ne rtoseleetra tio n alPar tin gsu rf aeePo sit io n.Theor ganizatio nandde ser i Ptio nof如owle dgeint helibrar yshoul d f itf orthePr aetie alm ol dde sig nPr oe e ssandea nbee asil y que r ie da nde o n sultedbyde sig ner s.The ref ore,t hee ommonu sedk nowledgea ndPr ineiPle sinPar tingsu rf acede signa ndthede sig ue r ssuee e s sf ule xPe r ie ne eswe reeo加lu deda ndin teg rated.SomePiee e sofde sig nr ule sk nowled ge,whiehf or mthek nowled gelibrar yof Pa r tingsu rf ae ede sig n,we r ee st abl ishe dandwereidentif iedbysim Plese nten ee s.A l lof t hedesig nr ule sinlibra r ywe r ede ser i beda ndexPr essedindetailbyf igurea nd let ter.Andtheelu e15als ogive nin“r eeo l刀n1 ended ,a nd“no tre commended,waysint hef igureeom Po nen tofde sig nr ules,whiehe anhel Pthede sig n明maket her at ionals ele c七jo nb ase do nPar tieularde sig nea se.Fig,2showst hePa r tingsurf aeePositionde se riPtio ngivenbythesystemaf te r ehoo si ngon eofthede signr ule sT heea sedese ri Ption15thef ounda tiontoPer f o r mak no wledgebasedr ea so ning,whieht umst odes er ibea ne xistedsu cees sf u ldesig ne a sea st hed a tainf or matio nt ha teanbeiden t if ieda ndProc esse dbyeomP uteThee onte nta ndt hed eser iP tivewa ysha verelat ionwit ht hequ al it ya ndef f ieie neyofsolving51而Ia r que stion s.T heea sed eser i Pt io nma ybeex Pr es sedint hef ol lowing mode,e as eof t hemol dedPar t=t hei nde xinf or ma t io n+Po sitioninf on刀a t ionofPa r tin gsu r f ae e,wheret h eind exinf or matio n15thesha Pef eat ureof t hePa r t.Na mel yt hesha Pef eat oreofPa r tasa nindexea ns ea r chthesim ila re a s ewit h t hem ai nshaPef eat ur e,a ndt heresPe etivePa r tingsurf ae ePo sition15als og iv enint hisease.Thu st heea sesinPa r tingsurf aeePositione as elibrar ya r es omet y Pie al Pa r ts ha Pea ndt heeor r esPo ndingPa r ti ngsurf aeePo sitiono nt hePa r tm odel.Th enu meriealdes eriP tion15ea se( F 3匀=e ase(伪,乃,劫,(sJ,勺,)whereF二伪,乃,二,人),关15t heehil dshaPef eat ureint hein jeetionm old inge a se,i=1,2,n,n15t henumbe r ofehildf eatu resi nt hee a s e,S=(s一,5 2,s。),s j15t hesolvingsc heme,i.e.t hePar tingsu rf aeePo sitio n.j=1,2,m,阴15t hen um berofa va i la blePa r tingsur i触e eposit ionofo n ee a sem odelAh ie ra rc hieale a selibr卿,whieh 15show ninFig 3,ea nbef or meda ee ordingt ot henum be r ofthesha Pef ea t ur esine a s es.Andt hene xta ye reonta ln so nemo resha Pef eat Uret hanthef on朴ero n e.ItdeveloPst hesha Peinf or ma t io nofea semodelont heba sisof inher itingt hef or me rla ye r5sha Pef eat ur es.Fig4showst heor ga nizingsehemeofe om Plexe a se s.Theseheme15e o n sisten iwiththemodel Proee ssof mol dedPa r t,thusit15c o n venien ttoPer f or minge asesea rehingindexedbythesh叩ef eat i jre .3.2H ie r ar chicalse a r ehingba sedo nthePr odu etruleCas ese毗hing15a nim Por t ante om Po n e ntinr easo ningmeeha nism.Thee ss en iialofsea rehing 15theProe e ss ofse ar chinga ndm at ohing.50t heProe ess ofe o n st r ue亡inginf eren eemeeha n-CHI N ESEJOURNALOFMECHANICA L ENG I NEERI NG.611.ism15als ot heProc ess ofe onst Iuetingt he s ea r chingst ra t egie sa ndma t chi ngt h es i而l如tie s.T hes t ra t egie sha veag t ea tef f eeto nt h er easo ningef f icie neya ndt heresult.ThePu J甲oseoft hesear c hingoft hePar tingsu rf acePosi t ionca seistosea r cht heca sew hic hhasthesimila rm a insha pef eat urewitht hePlastiem odel.Thu st hem et hod15Pr oPo s edo nt heba sisofPr odu etr ulea ee or dingtot heo吧a njzationalst r Uet Ure ofeasel ibrar y,Theh iera rchie als ea rehingmea nst hatt hec a selibrar y15sea r ched intu川f romt hehea dla ye rt ot heen di nt h es ea r eh ingPr oe edu re,butwh iehembran chmen twoul d bef ollowe dsho ul d bejudg edf r omt heProdu etr ule.Fig.3s廿习c奴i re oft hePar tinogrga nlz ation s廿习c奴i rsu rf aeePosit ionea seibrar y助助m PI贻atedc a义s s sFig.4o r ga niz atio n st r uctu reoft h eeom Pl ic a te dea seFi g.5showsatyPeofladde rl派m ol dedPa r tswit ht heladderholef eat Ure,wh iehea nbeobt a in ed妙Pe rf or mingBoolea nsu b加etionbet we ent woladde r shaf t f eat ti r es,a ndaf i ll以edeorn e ra st heas sista ntf eat ti re.T he r ea s o nin gsea r eh in gPr oeessis,份stlyPe rf o蒯ngt he五rstjudg l nent,iff eat u re115t heladde r shaf t,t he nt heea se1wit hlad de rshaf t15obt ain ed:t henPer i七n nlngthese e o ndjudg r ne nt,i ft hef eat Ure2wit hlad de rshaf tPe rf or insBo olea nsu bt r aet ionw i t he as eZ,a nd t hePosit ionofitseen te rl ine15a tt h esa rneloe硕o nwit ht hef onnero n es,t he nt hela dd e rs haf tea sewit h la dde rholef eat ti re15obt ained.App lyingt h isre a so山ngme t hodea naeaui rehi比ef f ieie nev .De ca uses ea rcningalongo neembran e力mentne edn ott rave rs eal lofea sei ntheli bra J下.lft her eas o ni ngr ule sa nde as e sa remat ure,t hesimi la rea sewitht hesha Pef eat u reoft hemoldedPa r tea nbeq u lek lyobtain ed byaPpl yinghie ra r eh iealsea rehingme t hod ba sedonthePr odu etr ule.Fur thenno re,du ringt h ePr oc ess ofea s e一a sedPa r tingsur i兔e ea utomatiede sig n,t hee a semodeln eedn otr esemblet hePa r tmodelentirel y.I to n l yne edst ha tt heirmainsha Pef eat ure sa r esimila ra ndthepa r tings u rf ae ePosirio n sr e la tivetooneof朋ns ha Pef eature sof t het womod elsa r es俪Ia r .T he51而l丽t y s olutio nm odelofPa r ti ngsu rf ae ea utoma tiege n er a ting15Pr oPosed he re.4SIMIL A RIT YSOL UTIONMODELOFPARTINGSURFA C EThePa r tings ur f ae eofaea seha st he sPe eialPosi t ionrela tionr ela t iv et oaeer tai nf ean理e,Andt he ser ela tion sr e Pr ese ntalwa yso nac er t ainsu rf ae e,aeer ta inseet io no rPa ssingth roughae er t ainPoin tofthef eat t甘ee te.T七esePositio nrel a tio n sea nbeexPresseda saZDve ctof ,t ha tisP=叉伽,n)whe re尹L -一SPeeialPo sit ionr ela tio n无一一一V eet or sym bol尸-一Poin ioft hef ea奴甘ewh jeh t heP日r ti ngstlrf ae ePa sse s月Nor malve eto rofPa r tin gsur i触e eI not herwords,t hePa r tingsur i触eeis r印re se n tedbyanor r nalveet or月a ndas Pe eialPointPofthef eat ure.Fore ac hPa r tings山悉沈eofaea sem od el,veet orX15uneba ngea ble.Asf a ra saboa r dl i kePa r tca sem odel15 eo ne eme d,if t hePar tingsurf aee15de ter n nnedont hetoPf aee,t he nPoi n tP15t he ee n terPointoft his加c e,a nd碑15t heno nna lveeto r .Fir stl y ,f i ndt hePo sitio nr elationPoft hePa r ti ngsu rf ae er ela t ivetot he e asemodel,a ndt he ns ubs t it ut et hePo sit io nrela tio nintot hePa r tmodeltodeten mneit sPar tlngsu rf a cePo sition.T hesolvingpro e es s ca nbe ex Pr ess edbyt hef ollowi ngex Pre ssi onI(凡(p)厂)c =几的(凡(p)关)CP mwheres PPa r ti ngsu rf ae eC而一一一Ca sem od el凡Pa r tm odel关,石Fe at Ureloca tedinC ma ndP mr es Pec t ivel yThelenit emreP r es entst hePa r tieula rPo sitio nofPa r tingsu rf aeerela t ivetoacer tainf eat ureint heea semod el,whilet her ig hto n erePr es entst h isrelatio nint hePa r tmodel.Usi ngtheir51而la r it yweea ndete n刀Inet hePa I tings u rf a ceofPa r tmodel.Ac cordingt ot hecot rL Pl e 对t yo ft h es加饥止eo ft h em ol dedP队t s,t h epa r ti ngs切f叹ede s ig nl r 姗yi ncf ud ese ver ala s Pe Ctsa sf o Uo ws .(l)TbePa r ti ng浏r f ac e15Pla ne.Fo rt ho sePa r tsw hosem ainf ea权叮ef a ce15Pla ne,o neea nf ind d仕e etl y p oi ntPa ndve et o r月.Su bs t it ut ing t hemi n t ot hev eet o re xP r essio nX( P,n),t h ePar tingsu r几cePosi t ionoft hePa r tmoldea nbede tem uned.Fort h ePa r tsho场”inFig.6,t hetoPf a ce15seleet eda st hePa r ti ngsu到触eea ce o rd ingt ot heea sesint he11br卿.Thu sPoin tP15t het oPf aeeeent e rPointoft hecubiea lPa r tmodel,w hi len15t henor malve et o r。f面5su r 伪ee,a ndthese七刃0valu esca nbef ou nd 丘omt hef ea t u re山扭,50t hep osit ionofPa r tlngsu r f ae e ca nbe 50vedeo n ve nie nt iy .(2)LadderPa r tings u讨血e e.T hela dde rPa r tingf aeef eat ure15com l nonl yu s edinsomemoldedPar tsFo rt hePa r tshow njnFig.7,.6 12.孔Tong m in,e ta l :De s i,t e Chn ol o盯f o ti n jectio nm ol dpa r ti n gsu rf acoba se do nca s es a nd如owle dg eo nen e edf i招tly f ind t heve ctorsx l,戈,戈ofe aeh ladd e r f aee ,thentheladderPa r tings u rf a Ceea nbeO bt ai ned byPer f or江ungBo ole anu nio noPer ationwi t ht hePa r tingsurf ae e seo nt rol led妙thes eveet o咫su r f aee.I nt h eProc e ssoft hePa r tingsurf ae es ele cting,t hek nowledgelibra r y,t heease sl i br田下,a ndt hef o即a r d一reaso ni ngm et hoda r eused.T hesim ila r it ysolu t io nm et hoda ndBoolea n画t oo peratlo na m皿9t hec hi ldpa r ti ngs l汀f ace sa r eu se dt oge ner atet hef i nalPa Z t1ngsu浦如e.Fig.1015t h eZDi lf ust ra tio nofPar ti n gsu r几比e oft hisPa r tm odel.3)ThePa r tingsurf ae oisc切r vedf a ce.T he501v lngP ro ees s15e omPliea tedwhe nthePa r tingf aee15eu r ved f ae e.Taket hePa r tshowninFig.8asa nexam Ple,theke yf ea奴甘ePa ra me te rs,su chasther a diu sa r c,theP Ositio nofee nte rlinea nd itsdist r ib utio n,sho-uldbef ou nda ee ordingtot hes ha Peoft heeu r vedf a ce.T hent hesolvingm odelea nbee o nst l” cted.Af te rs ubstit U t ingt hesePa ra幻。-ete rsintothes olvingmodel,thePa r tingI i ne ea nbege nerated,a ndt hent hePa r t ingsur f aeea lsoe即beObt aine d.Ift hePa r tin gsu rf ace15f r ee一化曲surf ace,t hesol vi ng me delw il lbemorecom Pl iea te d(4)Mol dedPar tswit he omPl ie at eds姗仪甘e.T hem or ee omPl ieat ed Pa r tmodel15t heo n et ha tit ssi m ila rea sed oe sn otexistinthee a seli bra r yof Pa r tingsu rf aeePositio n,a ndt heea sem odelr esultedf romt her ea soningPr oe edu rea lsohasasig n if iea n tdif f er en ee.Thisk indofea semodelsho ul d besolved di r eetlyatt histime,f o rthegeneralst r Uet Li reoft hePa r t15eo娜lica ted,b u tt hePo si t io nofPa r ti ng linemaybes i而la r.几kethePa r tshowninFig.9asa nexam Ple,w hichc on sistsofse ve r als加e皿ef a以o r s,t he re15 n ott he 51而la re aseint he e a sel ibr a r y.ButitsPa r ting f aeeals oea nbede sig ne dusingt h ec as eshowninFig.6,a ndt heto Pf a ceofthePa r twou l dbech ose nasthePar tingsurf acebe e a u s et hei rPosition sof P训ngsurf aeea r e51而la r.Ifthesimila r it ysolu tio nPr oeedured oe sn otwor k,thehuman一e omPute rinter aetio nwil l bec ho se nt ode t en nlnet he。耐i”,s u rf ae ea nd t her esultwillbesto red,t h ust hec a selibr田了ofth己Par tlngs urtacePo sltlonw1JIOe ennc neQ6CO N CLUSIO NST hek now le叱ea ndea se一b留edrea so ningdesig nofmol dP民r tlngsu rf ac e15t ore a so nt he 51而la rca sewi t ht heo r igi n a l P叭访dexe db y阮sha Pef e a t u reoft h epa r ta nd t odeter rn in et h ePo sitionoft hemol dPa r tings班血eeem PIO yin gt he51而la r it ys olut ionmet hod.T his叩Pr oac hha sh igh de sig nef f ieie neya ndr e l ia bilit yont heba sis oft hea bu nd antk nowle电elibr脚a ndca seli br ar y.ltalsohas se ver a lc ha ra ct e ris tic s a sf ollows:(I)Thehier a rehiealea sel ibr田了of Pa r t ings u rf a cePosition15eo ns如etedb韶edo nt hen umbe roft hef ea皿e sint hee ase,whlchm欧e st hese areb加9rno reeon ve n ie n t.(2)Index ed妙t hesha Pef ean叮e,ahiera r chiea lsea r chingm ethod15em Ploy edbasedo nt hePr oduetr ule.Itha sh ig hef f ieie n eya ndea nq uieklyrea so nou tt heea semodelwhieh mainsha Pef ea奴止e15 sl i nila rt ot hem olde dPa r t.(3)Usingt h e51而la r it yoft hesha Pef eaturesbet weent heea sem odela ndt hePa r tmodel,t hes i面la r it ysolutio nmodelofPa r tings ud 滋ce15f ou nded,w hic hea ndeten刀In et hePositio noft hem eldP训ngsur i触ceq uieklya nde xa ct iy.Asar es ult,t heq ual it ya ndt heef f icie ne
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