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CH IN ESE JOU R N A L OF MECH A N ICA L EN G IN E ER FG Vo l. 18, N o . 4 , 2 0 05 . 60 9 . Yu TO ng m in LiG Ua n hUa DESIG N TECHNOLOGY FOR INJECT10 N MOLD RARTING SUR FACE BASED ON CASES AND KNOW LEDG E LIYbUm in Ab str a c t: o n the basis o f th e e o mP re hen siv e an alysis ab o u t the a u to m at ie g e n erat io n o f th e inj e et- La n Jia n Key Lara to ry fo r Pd sio n a nd No n - tra ditio na lMa ehin in gfehno log yof Min iat ry of Ed u ca Uo n , D+n Un iV e=ty ofTe Ch no lo g Da lian 116024 , China lon m o , d partmaJc e, th e Parti n g surfac emath o d. whihad u ce5ao W led cse ba sed re aso n m g (CB R) m to th e c o m P ter- al ae a d e slgn 15 a esc n D eo oy e o m o ln m g wi tn tn c a c ua , e hara eteris tie in inje e tio n m o ld de sig n , an d th e d esign Pro e e ss o f e aseBba se d rea so n in g m e tho d 15 a lso g iv en . A e a se libr ary In e lu d ing th e In to rm atlo n o r Pa rt ln g surjae eB5 o uBr wBtn tn e m a e x o r m ain shaP e fe ates . Th e au to m a tie d e sign o fth e m o 1d Part in g su rfa ce is re al iz ed e o mb in e d w ith th e fo rar dBreas o n in g m eth o d an d th e 517lari ty 5 0u tio n p ro e edure . Th e ru le kn o w lele libra ry 15 a lso im Pro v e d . K ey w o rd s: Inj e etion m o ld PaInt in g su ri(c e de sig n Ca seBba sed re a so n in g (C B R ) Sim ilty so lu tio n 0 INT R O D U CT IO N B ein g o n e o f the imP o rt an t stePs in inj e c tio n the e ho ie e o fPart in g sur fa e e has a n dire e tly efe et m o ld d esign , o n th e g e n era l fr am e de si . m o ld m ak in Z e o st, th e pinsur fa e e m a ehin in g an d th e qu a llty o t tne tln a l Pla sn c Part smBmcb o tn e rat lon a le ho o sin g o f the Part in g s u rfa ee 15 the Pr e e o n ditio n o f a su e e e ssfu l inj e e tio n m o ld d e sign an d the b a sis o f re a liz in g inj e e tio n m o ld in g Part an to m at ie a n d s o Phistiea ted d esig n . In re e en t year s, re sear eh w o rk o n th e Part in g su rfa e e an d m o ld e omP o n en ts au to m at ie ally ge n erat io n 15 o n e o fthe ho tsPo ts a n d difi e u ltie s in the inj e etio n m o ldin g CA D fi eld , an d m an y rese a fc he rs a ro u nd th e w o rld ha v e d o n e rem ark ab le w o rk s ab o u t 1 FR A ME V V OR K O F K NO W L E D G E AND CA SE - B A SED R E A SO NIN G PA R T IN G SU R FA CE A U T O M AT IC D E SIG N th is iss u e . B u t tho se Prio r w o rk s te n d to e shaP e a n d its Po siti o n relati o n s o f P rt in g s X Pr CS ur fac S S e o n strU etin g so m ebum eri c al m o d els b a s e d o n th e g e o m etry allBar o un d by th e e s se n tial an alysis o f th e Plas tie Pa rtn5 shap e stru etur e e o m Ple x ity o fPla stic P kin d s o f s ho rt c o m in g s in Prac tic ec 2B5. D u e to the d iv e rsity a n d t s . tho se m e th o d s h8V e s o m e W ith mu eh ex Pe ri en e e an d lit le th e o ry fo r m o ldin g de sig n , th e Part in g su rfa c e d e sign m e tho d W hieh in tro du e e s kn o w led g e a n d e a seBba sed re as o n in g (CB R ) in to the e o mP u terBaided de sign 15 Pr e se n ted by eo m bin in g w ith th e de sig n Pro e e ss o f inj e etio n m o ldin g d e sign , 5 0 th a t the m o ld in g Pa rt s e a n b e g e n e r at ed au to m a tie ally. Kn o w ledg e a n d c a seBba sed re a s o n in g m e a n s Plyin g 517Iari ty judgln e n t Pr o eedure a n d an alo g ism to ha n d le a n ew de sign ta sk by e o n stru etin g kn o w ledg e libr ary an d eas e libra ry a n d re sPe c tiv e re a so n in g ru le o n th e ba sis o f e o m b th e kn o w led g e d ru le o f Pa rt in g sur fac e de si Su e e e ssfu l en gln e ers Pri n eiPle su ee e s sfu l aP pro ach d e sizsoPd thsu c c e , )oxP e n en cT o rg a n 1Ca llymB, tn l s m e n e w Q e S lgn n o t o n ly d o f T fi ts o f m o ld Pa rt in g s u rfa e e bu t a ls o in elu d e s th e ex Peri en e e o f tho s e fo n n e r e a s e s A s a re su lt, th is 15 m o re e o n v e n ien t, qu iek a n d Pra e tie al efe etiv e co mP a red to a n alysis an d so lv in g th e Part in g sur fac e d e sign b y c o n strU etin g num erie a l mo d el. FUrnt he r m o re the de ser iPtio n o f Part in g surfa e e d esign ex Per ie n e e s ar e e a sily exP re s se d b y th e c ase s rat he r tha n the ab str a et d esign ru le s an d ex Pre ssio n s . 5 0 the kn o w led ge a n d ea s eBb a sed re a s o n in g Part in g sur fa e e de sign m eth o d 15 very su itab le fo r m o ld e n gin ee rn5 thou ght fa shio n a n d 118l n e r. R eee ived M ay 26 , 200 4 ; rec eiv ed in rev ised fo rm A u gU st 17 , 2 0 0 5; a eeePte d A u g u st 3 0 , 2 0 0 5 Th e g e n e ra l ide a o f kn o w le d g e an d c a s eBba sed re a s o n in g Palt in g sur fa ee d e sign 15 to fo u n d a e a se library u s in g su c e e s sfu l Part ln g sur faC e d es ign s in term o f mo ld e d Part sntyP e s an d g eo m e tri e ch ar a e ter. Th e m ain shaP e fe alir es o f m o ld ed Pa re in de x e s o f th is libr ary . A ft e r sear ch in g the sim ilar eas e w ith th e Part , s m ain shaP e fe a tu re fro m th e e a se libra ry, th e Pa rt in g s u rie e c a n b e g e n erat ed by jud gin g fro m th e sim ilari ty p ri n eiPle an d th e g iv en reas o n in g str at egy . A t th e sam e ti m e , th e eo rre lat iv e kn o w lee an d Pr in eiPle s o f Part in g s u rfa e e d esign an d the de sign ern5 exP eri e n e es ean be su n n n ari z ed in to kn o w ledge libraJ , wh ieh ean b e qu eri ed an d c o n su lte d by de sign ers a s th e a s sistan t in fo rm atio n o f Part in g sue e d esign . Th e ea se eo mP o n e n t o fth e m e th o d 15 u sed fo r th e re a so n in g de sign , w hile th e kn o w led ge o n e fo r the gu id an e e o fd e sign e rn5 rat io n a ls e le eti o n o fPart in g s u ric e , Th e kn o w led ge a n d c a seBb a sed re a s o n in g Part in g sur fa e e d e sim a in ly e o n sis ts o f th e fo llo w in g : Co n stru e tin g kn owl- e dg e libr/. A i7n g at th e Prac tice o finjee ti o n mo ldin g de sign , a kn o wle dge library of Part in g suri(e e de sign ru les 15 fo und e d thro ugh e o n e lu ding an d integr at ing th e re latedo wledge an d ru le s of Part in g sUr fae e de sign an d th e de sign e rsne xPe ri en e es . Co n stru eti n g e ase library o f parti ng sur fac e po sitio n . A e ase libr ary o f Parnt in g su rfa e e Po sitio n 15 e on stru e te d base d o n the tyPe s o f m o ld e d Part s and th e Pre vio u s suc e e ss7de sign e as e s , w hi eh e on sists o fth e de seriP tion of e ase s an d the stru e tU re o fcase library , The ke y o fdeserib ing th e Position of Ping sur fac e 15 to so rt an d org an iz e th e shaP e fe atu re s o fcase m ode ls an d det ernu n e the e or e sPon dlng Po sit on o f Pn g sur fac e ac e o rdin g to th e vari ant she of m olde d Part s . Beeau se th e Part ing surfa e e Po sitio n 15 m ai n ly de te n n in e d by th e Part , 5 shaP e fe alr e , th e org an izat ion o f e ase library should be ProPitiou s to th e e ase se ar ch in g in de sinro e e ss . xde nt ifi eat io n of m olde d partns shaPe fe atu re . The shaPe fe atUr e s o f ori gin al Part sho u ld be ide ntifi e d be for e det e nIn ing th e Po sition o f Part ing sur fa e e . Th er efo re , the ma in shaP e fe ate s in de x n e e d to be fo u nded aimi n g at th e tyPe o f m o ld e d Part stru etur e Th u s th e se atnl e ss jo in t betw ee n m odelin g me lde d Part an d design mo du le of m o ld PBn gfac e oan be reali z e d . A s a resul t, th eheri ted char acteri stie o f syste m 15 al so im Pro ve d . System re aso nin g an d se ar ehing m odel. Sear ehing and m ate hin g the sim ilar shaPe . 6 10 . tttti te chn o lofo r inj ee tio n m o ld partsu rfa ce b as e d on C a seS an d kn o w le dg e fo atu re o f Pa rt m o de lfr o m the Part in g sur fa e e Po sitio n e a se s 15 the Pri m ary ta sk o fthe Part in g sur fa e e Po sitio n e a se , 5 se arehin g R ec o m m e nded sty le U n ad yBsable sty le e o u rs e . He n ee b uild in g the shaP e fe atu r e in dex od m o d el 15 e o re to re aliz e e x a e t ea s e Au to m atie g en e ratio n re ason in g an d qu ie k searc h th e in ga o f Part ing su rfa e e . Afte r Perfo rm ing de sign m are hing an d adjustin g abou t th e sele e te d Part ing surfa e e Po sition e ase whie h 15 517lar to th e shaPe fe atu re o f m olded Part , the n e e ded m o ld Part ing su rfa e e e an be g en era te d aut o m atie ally. sto rag e of e ase s . Tho abu nnt e ase libr+o f Part ing surfae e Po sition 15 th e im Port an t fo u n datio n to im pro ve the de sig n quality of m o ld Part in g sur fac e an d re a so n in g efi eie n e y. The system Provide s storag e ju dg m e nt an d se le etion base d on e lassifi e ation by e ase fe atu re s ab o ut the fi n ally re su lt of e aeh n e w de sign ta sk. The flo we hart o f kn o wledg e an d eas eBba sed re as on ing Pin g surfae e design ing 15 shown in Fig. 1. Fig , 2 D e mo ns titio n o fth e kn o wle dge libra ry o fPart in g sur fae e de sign Modelpart fe s Fea tur e lde ndcation MaFhin gmF+s ind ex edshap e m d th e c ase m o de l Cas e li b bf 51jlar sim ilar to th epart ,e po rt sbe 1 po . lmBon D e1run e the Pin g surce usi ng simil0ty 50 1 bb p ede baon th e eghgbdel d to th e cmlibm ry of pg , Wce po sit on The Part ing surfae e de sign m ain ly has relatio n to the m ain shaPe fe atu re o fm o lde d Part , an d the iden tifi e at io n of the m a in she fe a tU re also Plays a lea djn g ro len e ase sea rc hin g , Ijs re gar d , th e strU etUr e of e ase library shou ld be org aniz e d ae e ording to th e shaPe fe atu re of Part , an d the hie rarehie al fe atu re tr e e of m o lded Part sho u ld be e on stru e te d , by w hie h the part e ase s ean be e la ssifi e d sto re d . C lassifying the shaPe fe atU re s o f Part s by th e ir dife re nt ehar ae ter s, the e o m m on fa eto rs o f Part m o de l ean be e x tr ae te d as the Par e nt n o de . The e hild n ode e an in heri t allo fatri bute sFm the Pare n t n o de , an d eo n tain m o re fe atu re s tlian th e Pa re n t o n e . As far as a sin gle e ase 15 e on e ern ed , alon g w ith the inh e rite d re lat io n go in g thro ugh lay e r by laye r, th e nu mb e r o f fe ae at ribut e s w ill in ere ase The fe atu r e at rlbu te s ar e mo re aPt to de se ribing e on e re te ly an d by in sta n e e , an d th e e omPle x de gre e o f the ir r e latio n s 15 also in e re a se d . This e lassifi e dPro ae h e an he lP to se are h the e ase librB in de x e d by shaPe fe aFre s an d to so lv e th e m ode d P w ith e om Ple x sh aP e . 3 3. 1 CASE D E SC RI PT ION S AN D SEA R CH IN G Ca se de se ri Pti o n s 2 B UILDING OF KNOWLED GE LIBR AR Y AND CA SE LIBR AR Y The kn o wle dg e library 15 the ilnP ort ant re source th at ean assist de sign er to sele et rat ion al Part ing su rfae e Po siti on . The o rg an iz ation and de se ri Ptio n o fo wled ge in th e library shou ld fi t fo r the Pra e tie almo ld de sign Pro e e ss a nd ean be easily qu eri ed and eo n sulted by de sign e rs. The refo re , th e e o m m o n u se d kn o wle dg e and Pri n eiPle s in Part ing sur fa ce de sig n an d the de sigu ersnsu e e essfu le xPer ien e e s w e re e oFlud ed an d int egr ated . Som e Pie e e s of de sign ru le s kn ow ledg e , whie h fo rm the kn o wledge library o fPart in g su rfae e de sign , wer e stablished a nd we re iden tifi e d by simP le se nte n ee s . A ll o f th e de sign ru le s in library w ere de se ri be d an d e xPre ssed in de tailby fi g ure an d le t e r. A nd the e lue 15 also g ive n inore e oln 1e ndedn, an donot re co m m e n de d ,nw ays in th e fi gu re e omPon e nt of de sign ru le s, whie h e an he lPthe de sign m ake the ra ti o n alse lecjon ba sed on Part ie u lar design e ase . Fig , 2 show s th e Part in g surfae e Po sitio n de se riPtion g iv e n by the system aft e r e ho osing o n e ofthe de sig n ru le sc Th e e as e de se riPtion 15 the fo u ndat io n to Perfo rm a kn ow le dg e base d reas on ing , w hieh tu m s to de se ri be an e xiste d suc e e ssful de sign e ase as th e dat a in fo rm ation th at e an be identi fi e d an d Pro ce ssed by eo m Pu teThe e o nte nt an d th e de se ri Pt ive w ay s hav e relati o n w ith th e quality an d efi e ien ey o f solvin g 517Iar qu e stion s . Th e eas e de seri Pti on m ay be exPre sse d in th e fo llo w ing m ode , ease of th e m o lded Part = th e in de x in fo rm at ion + Po sitio n info nati on ofPart ing sur fa e e , w he re the inde x in fo rm atio n 15 the shaP e fe atu re of th e Part . Nam e ly th e shaPe fe ato re of Part as an index ean searc h the sim ilar e ase w ith th e ma in shaPe fe atu re , an d th e resPe e tive Parnt ing su rfa e e Po sitio n 15 also g iv e n in th is ea se . Thus th e eas e s in Part ing su rfa e e Po sitio n e ase library are som e tyP ie alPart sh aPe an d th e e ore sPo nding Part in g su rfa e e Positio n o n th e Part mo del. The num erie alde seriPt io n 15 e as e(F3= e ase(,.,l, (sJ, ,l,m) whe re F=,.,=,),115 th e e hild shaPe fe atu re in th e inje e tion mo lding e ase , i = 1, 2,l, n , n 15 th e n u mbe r o f ehild fe atur e s in the ease , S = (sB, 5 2,l, sb), sj 15 th e so lv ing sch e m e , i. e . th e Part in g sur fa e e Position . j= 1, 2,l, m ,|15 th e n umb e r o f avai lab le Part ing su ri(ee po siti on o fon e e ase mo de lc A hi erar ch ie al e ase libra, w hieh 15 shown in Fig 3, ean be fo rm e d ae e ordin g to th e n umb e r o f the shaPe fe atu re s in e ases . An d th e n ex t ay er e on tal n s o n e m ore shaP e fe atU re th an the fo ne r o n e . It de ve loPs th e shaPe info rm at ion of e ase m odel o n th e basis of inhe ri ting th e fo rm e r laye rn5 shaPe fe a tu re s . Fig 4 show s th e org an izin g sehem e o f e omPlex e ase s . The se hem e 15 e on sisteni w ith the m o del Pro ee ss o f m olde d Part , thu s it 15 c o n v e nient to Perfo rm ing e ase se ar e hin g inde x e d by the she fe atij re. 3. 2 Hie rarchicalse arehin g ba sed o n the Pro d u e t ru le Case sehing 15 an im Po rta n t e omP o n e n t in re aso ning m e e han ism . The e sse ni ialo fsear e hin g 15 the Proe e ss of se arc hin g an d ma to hin g . 50 the Pro ee ss o f e on stru eing infe re n e e m e e han - CHIN E SE JOUR N A L OF M ECHA NICAL E NG IN EER IN G . 6 11 . ism 15 a ls o th e Pro c e ss o f e o n stI u e tin g th e s earc hin g str ate gie s an d m atc hin g the si7ltie s . Th e str ate gies hav e a gte at efe e t on the re aso n in g efi c ien ey an d th e resu lt. The PuJJo se o f th e s earc hin g o fth e Part in g sur fa ce Po siti o n ca s e is to searc h th e c as e wh ich ha s the sim ilar m ai n shap e fe atu re w ith th e Plastie mo d el. Thu s th e me th o d 15 Pro Po sed o n th e b a sis o fPro d u et ru le a e eo rd in g to th e oan jz atio n al strU etU re o f e a se library , The hi era r chie a l s ear e hin g m ean s th a t th e c a s e library 15 searc hed in tu+fr o m th e head lay er to th e end in the s eare hi n g Pro e edu re , b u t w hi eh e m br an c hm ent w o u ld b e fo llo w ed sho u ld b e jud ge d fro m th e Pro du et ru le . Fig . 3 sclir e o fth e Pa rt ino grgan lz atio nlm sur fa ee Positi o n eas e ibra ry m PI/a ted c als Fig . 4 o rg an iz atio n stru c tur e o fthe eo mP licat ed eas e Fig . 5 sho w s a tyPe o flad de r lmo ld ed Part s w ith th e ladd e r ho le fe atU re , w hi eh ean b e o btai n ed Pe rfo rm in g B o o lean subFetio n b etw e en tw o ladd e r shaft fe at ir es , an d a fi lled eo rn e r as th e as sistan t fe a t ir e . Th e r ea s o n ing seare hi ng Pro e ess is,zs tly Pe rfon g th erstju dgln en t, iffe atur e 1 15 th e la dde r shaft , th e n th e e a se 1 w ith lad de r shaft 15 o bta in ed : th en Perin n ln g the se e o n d ju dgrn e n t, if th e fe atU re 2 w ith lad e r shaft Pe rfo ri n s B o o lean sub tra eti o n w ith e a s e Z , an d th e Po siti o n o fits eent er lin e 15 at the sa rn e lo e o n w ith th e fo n n e r one s , th en th e lad d er sh aft eas e w ith lad d e r ho le fe a tir e 15 o bta in ed. A p plyin g th is re a son g m eth o d ean a eau ire hi1efi eie n ev. D e cau se s ea rc n in g a lo n g o n e em b ran em en t n e ed n o t tr a v e rse a ll o f eas e in the lib raJ/. lf th e re as o n in g ru le s an d e a ses ar e m atu re , th e sim ilar eas e w ith th e shaP e fe atur e o fth e m o lded Part ean be qul ek ly o btain ed by aPp lyin g hie rare hi e a l sear ehin g m eth o d ba s e do n the Pro du e tru le . Fu rt he n n o re , d ur in g the Pro ce ss o f easeBas ed Part ing su rite e au to m atie de sign , th e e a s e m o d el n eed n o t re s em b le th e Parnt m o d el en tir ely . It on ly n e eds th at th eir m ain shaP e fe atu re s are sim ilar an d the part in g s u r fa e e Po sirio n s re lat iv e to o n e o fn sh aP e fe atu re s o f th e tw o m o de ls are sIar. Th e 5 17lty so lu tio n mo delo fPart in g sur fa e e au to m at ie g e n erat in g 15 Pr o Po sed her e . 4 SIMIL A R IT Y SO L U T IO N MOD E L O F PAR TIN G SUR FACE T he Part in g su rfa ee o f a eas e has th e sPe eialPo siti o n relat io n re lati v e to a e ert ain fe a ne , A n d th e se re lat io ns re Pre se n t a lw ay s on a c ernta in sur fa ee , a eert ai n s eeti o n o r Pas sin g thr o u gh a e erta in Po int o fthe fe a te et e . Tese Po sitio n relat io n s ean be e x Pressed as a ZD v ecto f, th at is P =, n ) w he reL- BSPe eialPo siti o n re lat io n BBBVe eto r sym bo l C-BPo ini o fth e fe ale w hj eh th e Prt in g stlrfa e e Pas ses iN orm alve etor o fPart ing su ri(ee In o th er w o rd s, th e Parnt in g su ri(e e is rre sent ed by a n o rn a l v eeto ran d a sPeeial Po in t P o f the fe atu re . Fo r each Part in g s +e o f a eas e mo de l, veeto r X 15 u n eban geab le . A s far as a b oardclik e Part cas e mo d el15 eo n eem ed , if th e Pa rt in g su r fa ee 15 d et ern n ed o n th e to P fa ee , th en Po int P 15 th e eent er Po in t o fth is Fc e , an d15 th e n o n n al v ee tor. Firs tly, fin d th e Po sitio n re la tio n P o f th e Part in g sur fa e e re lati ve to th e e a se m o d el, a n d th en su bsti tu te th e Po siti o n re lat io n in to th e Part m o delto d e tenm n e its Pa rt ln g sur fac e Po sitio n . Th e so lvin g pro e es s can b e exP re sse d by th e fo llo w in g exP re ssio n I(O(p )c=+(O(p )1)C Pm w her e sPiPart in g sur fa e e C7BBBCas e mo de l OiPart mo d e l 1, FiFe atU re lo c at ed in Cm an d Pm re sP ecti v ely T he len ite m rePre s e n ts th e Part ie u lar Po sitio n o f Part in g sur fa e e relati ve to a c ert ain fe atu re in th e eas e m o de l, w hile th e ri gh t o n e rePr esen ts th is relatio n in th e Part m o del . U sin g their 5 17lari ty w e ean d ete nIn e th e PaInt in g sur fac e o f Part m o d el. Ac o rdin g to th e c o tr LPlety of the sFme of the mo ld ed Pts , the part in g sMfe des ign lry in cfu de se vera lasP eC ts as fo Uow s. (l) T be Part in grfa c e 15 Plan e . For th o se Part s wh o se ma in fe ae fac e 15 Plan e , on e ean fi n d d be e tly po in t P an d ve etor. Sub sti tu ti n g th em in to th e v eetor ex Pre ssion X (P , n ), the Pa rt in g sur+c e Po siti o n o f th e Part m o ld ean b e det emu n ed . Fo r the Part shopin Fig . 6, th e to P fac e 15 seleete d as th e Parnt in g su(e e ac e o rd in g to th e eas e s in th e 11b ra. Thu s Po int P 15 th e to P fa ee eenter Po in t o fth e cu bieal Part m o d el, wh ile n 15 th e n o rm al ve etor bf 5 suree , a n d these0 valu es can be fo un dmo m th e fe at ur e e, 50 th e po siti o n o fPart ln g sur fa e e c an be 50 xved eonv e n ien ti y. (2 )L add er Part in g s u)e e . Th e lad d e r Part in g fa e e fe a tu re 15 co mln o n ly u s ed in so m e m o ld ed Part s For th e Part shown jn Fig . 7 , . 6 12 .dTo n g m in , et al: D esi , teC hn o lofot inj ec tion mo ld part in g sur fa co bas ed on c ase s a ndo w led ge on e n e ed fiqtly fin d th e ve c to rs xl ,l,o f e a eh ladd er fa ee, then the lad de