Deflection Shape e simulação numérica A study on the dynamic behaviour of machine

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1 g c úc Esud d cmpmn dinâmic ds pnss d máuin d ppl 2 d Snh uiliznd s écnics d DS pin Dflcin Shp simulçã numéic A sudy n h dynmic bhviu f mchin pnss f h pp mchin 2 Snh pln using DS pin Dflcin Shp chnius nd numicl simulin uls Cls Bbs Aus Mi Edud C Sils Snn chv DS Plvs pún simulçã numéic vibçã Dflcún Shp RESUM A pimi sgund pns d d máuin unidd d ppl vinh n pln Snh Pnh psnnd pblms suuis n bs málic ds ms dus Esss pblms cusvm flhs cnsns d ms cplmns bm cm d slinhmns cnsunmn lvds nívis d vibçã 69 bjúv suuis mbém vlcidd d d dmins mnsds ms dus lvds nívis d s Shp úg ubs d Simulçã uipmn Es cndiçõs pci bjúv dscv s dfmçã viss n sud d dinâmic dbs m p cm u fi fi p slucin Rfëncis ds Aus Auhs fns Snh Bgnç Bgnç SP Bsil Snh Bgnç Bgnç SP zif SKF l Bsil Cjm SP Bsil SXF l bsil Cjm SP Bzil Au púng Dflcún 2 ds ms uméic dss ncnds ds dslinh vibçã fi fi um nális dinâ impdim máuin limid cuss micbsdns écnics d DS bm mim m nis d pblms Snh d umn s á Tis Cm ô DS n pz ABSTRACT 2 insld Kywds umicl simulin n Shp vibi Dflcfz cspndn Sils Snn mil sils E cm snn@sk s pblms Th fzs nd scnd pss b 2 Snh Pnh uni l pblms n fpp w ng psnfz h lcic ms nd mllic bs Such mchin spd num sucu ducs cninuus cusing pblms filu f ms nd cuplings s wll s mislign mns nd cnsunly high lvls f mchin vibin Such sucul pblms ls pvnd Snh spd up h mchin cpd bing limid 69 m min In d dfin h cuss gn ing h mislign mnnd h lyfilu f ms nd ducs s wll s h high lvls fvibz n f h mchin dy nmic nlysis bsd h pz ng Dflcfz Shp nd umicl Simulz n ws cid u Thf h dflcin pfz n cndiins bsvd in h sudy h dynmics f f h mchin bs s wll s h c ns kn in d dfnihwly slv h pblms z xpsd in his cl w

2 DADS D DATA F TE EUIPAMET Tbl sã uipmn psnds s sudd ns lói As n bl sã livs às d pimi pns d cndiçõs sucçã d mifd h in in his bl pçã uis sgund pns d scnd pss A Tbl 2 é liv s çã d máuin d ppl Dsciçã d dds d fuêncis Tbl uipmn plicçã Dscipin f h uipmnnd pplicin Pns MP2 Rdu Rduc Gs M Tnsmissã cylind n funcis f f h pfz h pp nchin 2 2 Engngns Sucçã Mnlúcid l MP2Psss Sucfinnd Ynk SAUER DUPL TIP DG 35 SAUER DUBLE TYPE DG 35 Hlicidis Spil g CC Simns 39 5 k Esuu mlic p f Pv Ps ds dus Ynk Tbl 2 shws h d d p Euipmn Euipmní Cmpnns d uipmn l Euipmn cmpnn Bs únic f h uipmn sub dscibd in his p Th sudy infm f h cun pin cndiins s n nd h f bh psss nmly h fzs pss sucz infmçõs d cilind mnlúcid Tbl EUIPMET Tbl shws h chnicl d dds écnics d s dus pnss i sz v l if l sss Rducs 3 wigh kg Tnsmissin Rdu M M Rduc Síd d Rdu Rduc upu Lubificn ds dus l Lubicn f l ducs Tbl 2 Dds ds Diãm d l fuêncis pcinis ds pnss d Di cplmn Flk 8F p 2 pns Dic Flk Sf cpling f fl ls nd 2i pss Flk 9 5 p cpl ix cdn lk 9 f 5 f h cdn shf cplig MbilG 63 máuin 2 Tbl 2 D f h pinl funcis f h mchin 2 psss u f f ll 8 Fuénci d çã d m Fuénci d çã ix inmdiái Fuénci d çã ix d síd Fuénci d ngnmn GMF ix d nd Funcy finpusl fging GMF7 539 Hz Fuénci d ngnmn GMF2 ix dsíd Funcy f upu shfging GMF2 32 Hz Funcy f m in mm Funcy 26 Hz f h inmdí sl f fin Funcy f h upu shf in min 69m 9 Hz 9 6 Hz 4 Figu Fs l pimi sgund pns l máuin d ppl 2 Fiy cus f h fis nd scnd pss f pp mchine

3 DADS DA METDLGIA EMPREGADA s im dscvms DATA F TE APPLIED METDDDLDGY uilizd mdlgi máuin ud dinâmic d bs ds pnss d bm dispsiivs cm s uilizds p d This scfz n dscibs h n s ppl 2 blh dynmic sudy s Dispsiivs s Anlisd d dds pplincs usd in h D Cllc Snss Snss sudy 2 clôms SKF CMSS22 2 cclms SKF CMSS22 Sfw d nális Anlysis Sfw scpves Mchin Anlys ME CAD Sfw Engin F2 P Simulin Sfw SKF phus nd ASYS Mchin Anlis Sfw d CAD F2 Sfw d SKF bjivs Simulçã phus ASYS d nális dinâmic d bs ds pnss Vific s d ppl 2 b vés d écnic d DS uiliznd phus s p sucçã d mnlúcid pçã d pgms SKF visulizçã Aims vibçã mcâ dflxõs d s Simulçã uméic ME SKF scpves d cmpmn dinâmic d sism Cm s sud fi dfmçõs d pincipis fuêncis nic d sism ds pnss d máuin pssívl d suu málic cm nnd s iss pp sluçõs cnfiávis p pblm bjúv pimdil fi bsv dinâmic usd in h Anlys SKF MICRL G CMVA 4 PEngin h SKF MICRLG CMVA scpues ME s mhdlgy f h pp mchin 2 p ss Applincs Cl d wll f h bs vific málic ds s s msms s cmpmn spss dinâmics d suu ms léics ds sim blhnd dus bsvnd m fs u sj s nã f h psss Th im cis f h bs f h sudy ws dynmic nlysis idnify h min fun f bh pss sysms mchnicl vibz n sucin nd Ynk fpp mchin 2 nd bin p inl dflcins by mplying h DS ndumicl chniu SKFMEscpVES nd SKF phus sflw w usd bsv h dynmic bhv iu f h sysms Thugh his sudy i ws pssibl undsnd h dfmins f h mllic sucu nd hf pps libl sluins h pblm Th pimy gl ws bsv h dynmic bhviu nd chck u l dynmic spns f h mllic sucu lcicl ms nd ducs nd vify whh hs uipmns w wl ng in phs i whh hy hv n n Simulz y Ì IF 2 bjiv d blh fi idnific s pns d dfsgm Figu n sism pns sucçã pns mnlúcid Figu 2 Aim f h sudy ws idnify displcmns pins in h sysm sucin pss nd Ynk pss Figu 3 Mdl uilizd p Simulçã uméic d vificçã ds pns cíics Figu 3 Mdl usd in umicl Simulin f h idnificin f ciici pins

4 Dmin dimnsõs Cg Eshlish dinnsins Ld h u Dfin Dfin Cllcin Cllcin Pms Pms Ci suu Cl G l suc Cllc Dfini pns Sv Upld D Blck Ci um C u Animçã Dfini gus d libdd s Esblïsh Figu 4 Esum psniv ds ps d nális im mvimns livs n si d idnúficds Dpis suu fi fi luçã d um pblm d s m séi d cíúcs d cmndçõs p dslinhmn d sism s ub d cmpnns Eps m u fss pincipis pi misudms cmpmn vibcinl ds dus ds ms sgund p fizms um nális dinâmic ping Dficin Shp ds dus ms bs málic Dpis fi fi um sud p simulçã numéic d sismp dmin s écnic d DS fuêncis nuis pp mlhis p s pnss p úlim fi fi nális p D S p vlids mudnçs ppss n nális p simulçã numéic sud duu pximdmn 2 dis n ciçã ds mdls mmáúcs d uipmn mdiçõs ná liss ds sulds lbçã d lói digm d Figu é um sum psniv ds ps dsnvlvids dun s sud ds pnss d máuin d ppl Dun ds 2 s xmn mdl sgui nc scu ns ppsing cfz h wk nd cifz cl pins idnifid sis f cmmndfz ns d slv h f h ws ppd in mislignmn pblm f h sysm Phss d blh ld mvmns bwn ch h in nd cmpnn bks sud fi dividid uiliznd Anlysis Figu 4 Rpsniv schm f h nlysis phss diçõs cnis pns fcs Anális Animin Ts pns dgs f fdm DDF fss d sud dinâmic sumáúc d sguims digm cim A dscvms cd pss ds náliss lizds f h sudy sudy ws dividd fin fu min phss In h n bhviu f h spd fzs n w sudid h vibh ducs nd lcicl ms In h scnd phs w pfmd h dynmic nlysis wih h DS p ing Dflcin Shp f h ducs ms ndml licbs Thn numicl simulin sudy f h sysm ws pfmd in d dmin h nu l fun cis nd pps impvmns h psss nd fznlly h DS nlysis ws md vlid h chngs p n nlysis psd s sul f h umicl simulfz This sudy k ppximly 2 dys icluding c ing h mhmlcl mdl f h uipmn msu mns sul nlyss nd wkng u h finl p Th digm in Figu 4 gphiclly psn h phs s f h wizáng u f his pp mchin 2 psss sudy Th schmz c mdl bv ws sicly fllwd in li phss f h dynmic sudy All sps f h nlyss pfmd dscibd in h fllwing This U AÁLISE DE VIBRAÇÃ DAS PRESAS DE SUCÇÃ E MLUCID DA MP2 Anális d vibçã fi n pns sucçã pl SKF cnfm cn pns mnlúcid svm cim ds vls d lm As náliss dlhds ds spcs dsgs msm pblms d dslinhmn ds dns ds ngngns ds cixs pblms psns n AD YAKEE PRESSES d Snh Pnh vinh msnd u s nívis d vibçã VIBRATIAALYS7S F THE PM2 SUCTI pimi n dus sgund pnss Th vibin nlysis pfmd by SKF s p h gmn w dnz ng h vib Snh Pnh svic in lvis n pss fh sucfz sisnly bv nd Ynk pss w cn fh shwd nd spc mislignmnpblms wing f h g h fh gbxs Such pblms w fund in bh h fzs nd scnd psss h lm vlus Dild nlyss

5 Gáfic Cuv d ndênci ds nívis d Gph Tnd f vibin lvls cuv Gáfic ms vibçã p cuv sgund vibçã d sgund n d ndênci ds vls d pns bsvms u ds vls svm cim d cmndd p nml Dvid pns b scnd pss um s pçã vibçã sism psnv flhs sismáics ds ms léics ds cplmns sss ls nívis d ds lmns As ccísúcs d vibçã bsv s lvds pns sã pimi Espc d vibçã nívis d vibçã ds ng nmns d sgundpnsmnlúcid As fuêncis m dsu cspndm ngnmn d nd ngnmn d síd ss ccísics m gvds cm umn d vlcidd d máuin Cs nã fssm fis U s s cd cçõs ppss vz ns füns pis lói gns n flhs iim dsgs ds d bs svm cd vz mis Espc s nívl d fgilidd cmpmnd bm funcinmn cmpnns 2 ms d uipmn dslinhmn n ngn du d linhmn ô mis sgund pns mnlúcid s ds spnsávl pls dsgss ds dns ds pl ub ds lmns ngngns Gph f h shws h nd cuv scnd pss I is n h cmmndd lvl f f h vibin vlus h ll vlus nml w bv n Bcus f pfz such n his sysm incud in sysm high lvls fvibz c filus n lcic ms cuplings nd bings fz Th vibins chcisz cs d smlhns às d sgundpns pdms Espc Pn 3HV sgund pns mnlúcid Spcun Pnn 3HV scd pss Ynk f h fzs pss Spcum n cn bsv h high ging vibz n lvls f h scnd pss Ynk Th highlighdfuncis c spnd bh h inpu nd upu ging nd such cs w wsning s h mchin spd ws chcish incsd Shuld nn f h ccfz ns ppsd in his p b implmnd h idnifzdfilus culd bcm m nd m fi un s h lvl f cmp nn wing nd h fgiliy f h bs w ngfzwly ng h pfmnc f h whl uipmn ffcfz Spcum 2 shws h mislignmn xising b wn gs in spd duc f h scnd pss Yn k Such mislignmn ws spsibl f l ly wing f h g h s wll s f bing filus simil hs f h scnd pss In á x L Íil Espc 2 Sgund pns 2XGMF dslinhmn n ngngns 5pcum 2 Scnd pss 2XGMF nislignm bwn gs im ws iii si c i Espc 3 Pimi pns 2XGMF dslinhmn n ngngns 5pcum 3 Fis pss 2XGMF nislignnn bwn gs

6 s É l í s í p Espc 4 Pimi pns fuênci 48 Hz cm bnds lis GMF Spcum 4 Fis pss 48 Hz funcy wih sid bnds GMF Espc 5 Rgiã d pssívl ssnânci 844 Hz Spcum 5 Pssibl f snnc 844 Hz Espc 3 ms pblm d dslinhmn u c n pimi pns sucçã s dus dss pns mbém hvi pblms d dsgs ds dns ds ngngns ub ds lmns Pdms bsv n Espc 4 pcimn d bn dslis nfuênci d ngnmn dpimipns indicnd dsgss ns dns ds ngngns Tmbém é pssívl bsv pcimn d giõs d pssívis ssnâncis Esss giõs sã póxims ds fuêncis d 844 Hz 9 Hz 96 Hz s Espcs pdm s bsv sss fuêncis d pssívl giã nul dss sism s nívis lvds d vibçã ns dus ns ms léics ds pnss d sucçã mnlúcid sã duzids p pblms d dslinhmn dsgss ds dns ds ngngns ub ds cmpnns m cd cplmn lmn c ds sism Spcum 3 shws h mislignmn xising in hfi s pss sucin Pblms fg h wing nd ly bing filus w cls fund in his pss Spcum 4 givs vidn h pping f sid bnds h funcy f h fzs pss ging indi czng wing f h g h I cn cls b sn h ppnc fpssibl s f snnc Such s in h viciniy f 844 Hz 9 Hz nd 96 Hz funcis Funcis fpssibl nul f his sysm cn cls b sn in h Spc S 6 nd 7 lh high lvls fvibin n h ducs nd lcicl ms fh scfz n nd Ynk psss inpd s mislignmn g h wing nd cmpnn filus m cd cupling bing c f his sysm U s i im xwr4 k Espc 6 Rgiã d pssívl ssnânci n pimi pns 9 Hz Spcum 8 Pssibl snnc n l fis pss 9 Hz Espc 7 Rgiã d pssívl ssnânci n sgund pns Spcum 7 Pssibl snnc n h scnd pss 96 Hz 96 Hz

7 U Figu 5 Dsnh d bs málic d pimi sgund pnss d MP2 d du Pïgn 5 CèLning f nl lic bs f h PM2 fis nd scnd ps nd duc AÁLISE PR DS DAS PRESAS DE SUCÇÃ E MLÚCID A nális p DS ping Dflcún Shp ds pnss d sucçã d mnlúcid v bjiv d nnd cmpmn dinâmic ds pnss bnd s dflxõs dbs málic s mvimns ds ms dus P nális p DS ds pnss d máuin d ppl 2 uilizms s sguins dispsiivs CMVA 4 pgm ME scpues cl d dds SKF dis clôms SKF CMSS 22 d mv s ópics sgui fms um dsciiv ds ps plizçã d sud p DS Dminç i ds dimnsõs d bj d sud s dsnhs cnnd s dimnsõs d suu m álic ds cmpnns d sism is cm ms dus fm fncids pl Snh Ess infmçõs fm impns p fs d dsnvlvimn ds mdls mmáúcs DS AALYSIS F THE SUCTIAD YAKEE PRESSES DS pz ng Dflcfz n Shp nlysis fh sucz n nd Ynk psss imd undsnd h dynmic bhv iu fhpsss in d bin d n h dflcz n f h mllic bs nd h mvmns fms nd ducs T cy u h DS nlysis fpp mchin 2 psss h fllwing pplincs w usd SKF CMVA 4 D Cllc MEscpVES sfw pck g nd w SKF CMSS 22 m V cclms Th phss f h DS sudy xpsd in h fllwing Dimnsin dmin6n f h bjc f h sudy Dwings fing dimnsin f h ml lic sucu nd cmpnn f h sysm such s m nd ducs w pvidd by Snh This infmfz n ws impnf h dvlping phs f h mhmicl mdl

8 6 Mdl mmáic uilizd Figu Figu n nális p DS 6 Mhmicl mdl usd in h DDS Figu 7 Dfiniçã ds pns diçõs d mdiçõs p cd pn slcind As diçõs l mdiçã sã s gus d libdd p cd pn Figu 7 Dfiniin f pins nd msumn dicins f ch slcd pin Msumn dicins h dg f fdm f ch pin nlysis Ci suu Mdl mmáic Cm bs Cing dsnhs d bs ns málic ds dus ds ms léics nvids unidd p p Pnh fi dsnvlvid sud p DS pl mdl mmáic psimn p simulçã scpues ME Cm fs d s cnsuíd diçõs s cmssmp fc s u fzm p d sism m As ds cm d d mdi mdids bus bs z s lmns c sã cnsidds sism Dfinims m s diçõs s sud fizms mdiçõs ns ês diçõs x y z w bsd in h sudy hn dvlpd hugh iginl pjcs h n sicly fllw h h cul pjc nd nc h mlmz cl mdl wn n h phs b msud msud ws fdfining Afis dgs ffdm cmpld w dgs ffdm ws h h nwk fpins b ns f sblishd nd hn h dicz h msumns f ch h pins b msud f h pins hil dfining lwys sugh fznd h w pins f unin bwn sysm lmns such s m nd bs m nd duc duc nd bs c Msumndicinsx y ndzcnsiddsh dgs ffdm f u in dfznd in ccdnc wh is inndd idnify u sysm In h w phss fu sudy msumns livs u xisim msud pin pfnd in h sucu in ll h dicins x y nd Thf w ns sysm Msumn dicfz w w suu ws by Sn dvlpd h Snh Pnh uni All dimnsins usd in h mh pcdpn mdid Assim pgms ds s mvimns n mllic sudy Th mhmicl mdls gus d cd u ums idnific n nss sism s dus fss nss cl mdl mhmz Dfiningpins f msumc p cd xmpl cm p mdiçõs x y nss MEscpVES sfw pssms à mdiçõs sm dwings f h which wuld b usd fzs in h DS micl mdl l sm pns d uniã n du du diçõs d libdd d d fc h h Pnh uni pg Snh mlh d pns u sã pn s dfiniçã ds pns bs pj gus d libdd ds Inicilmn é dfinid dpis n d gus d libdd s mdl mmáúc dfiniçã ds mdids pj iginl n dimnsõs d mdiçã n bs ducs nd lcic ms pvidd numicl simulfz n dimnsõs d mdl mmáic s igsmn Dfini pns d bs cm unidd Pnh Tds sgum sud numéic s mdls mmáics fm dsnvlvids m Snh h sucu Mhmicl mdl Bsd z f ll ld mvmns cpud ch xzsing

9 Figu 8 Pns dfinids n mdl mmáic d m du bs Es fi uilizd sud p DS ds pnss d MP2 Figu 8 Pnns dfind in n h mhmicl mdl f h m duc nd bs This cu usd in h ws DS sudy f h PM2 psss d slcind p Dfiniçã A uúlizd mbs mdl Dfiniin f slcd sud m fss ns dpis mdificçõs d suu fi fi lvnd m cnsidçã s pns d fixçã ds cmpnns d m s ds pimi sgund smp mdids m ns giõs d cnn cmpnns cm p xmpl s pnss s pns d fm du du u ds bs c ligçã n bs Figu 8 ms d mdiçã u cspnd s ô Assim gnims s m ll ld mvmns pnn mdiçã gus d libdd p s w Figu bs Thf ng bwn h pss xisz cm id clly idni 8 shws h cu sd f h pins m Ech pnn is psnd by h n which cspnd h dgs ffdm dicfz sumn msmn f ch f h pins nális Figus máics cm s m m nd nd duc duc nd bs c cd pn Mdl gins nd juncins b f xmpl m psnd pl diçã s msud h cnu cmpnn uilizd p ds pns Cd pn sá sudy phss bf f chngs in h sucu ws lbd káng fin n h fzxing pins f h cmpnn f cnsidfz h fzs nd scnd psss Ru pins w lwys nd wn cmpnns d pns fm idnificds h mdl und m mvimns lúvs xisns n s cu f Th cu usd in bh 9 pós mdiçõs ms xmpls ds mdls m dpis d fis s mdiçõs nd nális Mdl nlysis f mcsumns Figus 9 nd shw xmpls f mhmïicl mdl und nlysis fl md h msumns nd und wih h msud vlus vls mdids á Anális ds sulds bids Anlysis f sulís Sgund sulds bids n lgums ccísics u vms çõs iguls mnlúcid d cndiçõs ip MX CX cimn sb n sucçã máuin d ppl 2 A uçã u gvn ulu sism mcânic é d K KX igidz sism igidz dsci K ns nd I é F F cs m fçs s fçs mss C m xns u um sud bsvms pblms xciçã F d xns cm sgui sud p DS msu u gnd bs málic ds pnss d dfm dinâmics d s n sud p DS bs sã ds dus sv m bs ds ms cndiçã indud p bind Accding h suls bind fm h DS sudy sm chcisics spnsibl f igul dfmins in h nllic bs Ynk psss fpp n gvning h ufz chnicl sysm is MX mchin 2 dynmic CX w sucin nd bsvd T i ns cndiz KX F f ny m Vh M f h dmpning K f h igidiy nd F f h xnl fcs c n h In his sudy pblms gnd by ing sysm h igidiy K nd by xnl xifz ng fcs F w dcd s xpsd blw Th DSsudy shwd h bs fh ms nd duc f h mss C f h

10 Dfsgm ns pis d bs Displcn n h Dfsgm n pi d bs Displcmn bs supps bwn bs supp 9 Mdl mmáic dfmd psnnd cndiçã pçã d sism A dfsgm n bs d sgund pns g çã n ccç d du f fuênci d ngnmn Figu l d GMF g Dfmd mhnic ndsf psnïëg cul Fá pin cndiin f h sysm Th displcmn n h bs f h scd pss cs sin fc n h duc husing nd ffcs h ging funcy GMF pçã ds pnss Dvid ls d bs dfsgm s ixs sfm divss sfçs cmpmnd igidz bs s mncis dfmçõs iguls gm çã sss bix um ps d suu gnd ssim bs málic Es n cndiçõs igu ss sism psnv n s dfmçõs n p ccç ds dus funcinmn idl d ngnmn u pn bsvd é pcimn d mvi çã flxã dfsgm ns mns ccísics d bss d ds dus pi fnômns gm ns v Figus pcimn d incs Esss n suu cmpnns ix d síd d du GMF nmn 32 Hz pssui um vn d ng hmônics ds fuênci Figu Mdl mmáic dfmd psnnd cndiçã l d pçã d sism A dfsgm ns pis d bs d pimi pns g çã n ccç d du u f ïcï fuênci dngnmn GMF Fsg fd Dfmd mn m psing h cul ping cndiin f h sysm Th displcmn h bs supps f h fis pss cs sin n h duc husing which ffcs h ging funcy GMF psifz inpppilyf h pcfz nd n f h psss Bcus fsuch is gul cndiins fh bs l s ws whl sysm shwd lw h bs Th bs bings nd shfs w hus submid igul dfmfz ns u ssss which in cd sin u fc h duc husing h ngzwly ffcd h cc wking f h ging Anh spc bsvd is h idnifzcin f ypicl mvmns f sin bnding nd displc mn h supp bss f h ducs s Figus nd Ths phnmn gn ccks h mchin sucu nd cmpnn Th duc upu GMF 32 Hz dslinhmn dinâmic chciss dus cusnd ssim ing plc u sfçs gds n ngngns ccç ds c dvid mmns cinis n sism É mbém bsvd ng gnfz d d pcimn giõs pssívis ssnâncis sss giõs sã póxims ds füêncis d 844 Hz 9 Hz 96 Hz fuêncis u s duzm n xciçã ds vigs d suu pvcn d mvimns iguls is cm çã flxã Es fnômn cmpm vid úil ds vigs pdnd g incs ns slds dmis ps d AÁLISE PR SIMULAÇÃ UMÉRICA DAS PRE SAS DA MÁUIA bjiv min s DE PAPEL 2 simulçã numéic fi d d bs málic idnific s d ssnânci pp sluçõs p pblm ds flhs ds cmpnns d sism pnss ms fuêncis léics dus cds lmns P nális p simulçã ds pnss uilizms cplmns numéic d bs málic sguins sfws P Engin F2 Ansys phus SKF Cm sss sfws fi pssívl simul icmn s sluçõs ppss p pblm m sud s ing g sin mmns i h 96 Hz inpd s h s w sysm n fs fpssibl mnifsíz vn f his funcy which dynmic mislignmn f h gs k ssss h duc hsing lus ls bsvd Ths 9 Hz shws snncs ws idnfid n 844 Hz funcis Such funcis c b zcimn f h sucu bms h igul mvmns Such s sin nd bnding Thisphnmnn ffcs h svic lif fsuch bms nd cs wlding nd h lckng p UMERICAL SIMULATI AAL YSIS F PAPER MACHIE 2 PRESSES d nális p pns cíics TCi shf nd hcmnics culd pduc ccks i fixçã i h mllic sv u ccizum dslinhmn n ngngns Ess ns igidüy displcnns fps f sucu which cd dfmfz ns n nlysis ws Thpups fh nuuicl simulfz sblish h cih cl pins h ml bs idnify s nnc ns h pblm fing funcy nd ff sluh h lyfilu fhpss sysms cmpnn lcic ms ducs cds bings nd cuplings F h numicl simulfz n nlysis f h ml bs f h psss h fllwing sfw w usd Engin F2 Ansys nd phus SKF Ths P sfws m i pssibl hz clly simul h sluzns ppsd slv h pblm und sudy

11 Anális d silini málic ns ds málic P cndiçõs iginis mdificçõs ppss Inicilmn fi cnsuíd P ns cm bs ns mdl mmáic dbs dsnhs nvids cnsuçã d mdl uilizms pl Snh UP sfw d CAD Engin Cm bs Cm s hf nwk ffini ppi inplin ws mf s s bin cifz cl nd nul funcis f h ml sucu h hs clculfz i ns nul funcis f h sysms w dfind d cld wih shp mds Tbl 3 shws h funcis vlus hh clly dmind by h fzni lmns nlysis Figu shws h shp md sscid wih 258 Hz funcy In his md h dfmfz n f h bms cn b bsvd dfmz I ns hjusïify cin xn h mislignmn f h sysm A 265 Hz h funcy shp md is ld d fmins f h ml bs bms f h scnd ps A 32 Hz funcy h I bm h c f h bs undgs bnding sin ffc I ws nd h f uncy 794 Hz gn lisd dfmin ks plc h I bms f h inplms pudms p b s fuêncis dfinis fuêncis nu mds shps A ds fuêncis dminds clcin vls cm s Tbl 3 ms s icmn nális p lmns finis n Figu ms md shp L Esss sscid àfuênci dfmçã ds vigs dfmçõs jusúficm d c fm s d 258 Hz s md bsvms pfil dslinhmns d sism às fuênci d 265 Hz md shp sá lcind dfmçõs ds vigs dbs málic d sgundpns fuênci d 32 Hz bsvms u vig pfil I d p si dbs sf um flxã çã fuênci d 794 Hz há um df mçã gnlizd ns vigs I d suu málic As fuêncis d 9 Hz 963 Hz ficm bm c cizds n nális d DS cm snd um pssívl giã d ssnânci Cm s nális vlidms mdl bsvms u ô usd build up his mdl Bsdnhismhmiclmdl hciiclpinsfh cálculs cl mdl mhmz s nuis d suu málic is d sism suu P iss fizms um mlh nss d lmns finis mdl mmáic dminms n ucu sh w lmns ws dmind nc nd ml sh ucu Th fgncis f9 Hz nd 963 Hz suld wll ch cisd in h DS nlysis s pssibl fsnc á Figu Md cndm f h ml bs ws buil up bsd n h dwings pvidd by h Snh Pnh uni Th sfw CAD P Engin lly Inifz ws pns cíúcs d ciics Anlysis f h ml sucu in is iginl bns bf h ppsd chngs Shp sscid fuênci d 258 Hz Figu Shp md sscid h 258 Hz funcy

12 numéic idnúficms sss fuêncis nuis cm fuêncis d ssnânci nális p lmns finis d bs málic ficu cl u sism pssuí fgilidds suuis u gvm s dfmçõs cm iss dslinhmn ds ms dus ds pnss d sucçã mnlúcid Vlidms cmpvms xisênci d um giã d ssnânci n bs siud n 9 Hz 96 Hz i h his nlysis w vlidd h numicl mdl nd idnifid hs nul fuêncis s snnc fuêncis In h fini lmns nlysis i und u cl h h sysm hd sucul fgilifz s cusing dfmfz ns nd s cnsun mislignm fms nd ducs f h scin nd Ynk psss Th xisn f gin f snnc h mchin bs smwh bwn 9 Hz ccnd 96 Hz ws hus vlidd nd cnfzmd Pps d mlhi p suu málic s p d sud fizms vis simulçõs é chgms um mdl óúm p sluçã ds pblms dcds ns us ps d sud s Figus dscvms s mdificçõs ppss p sism Impvmn ppslf h ml sáucu In hisphs f h sudy svl simulz ns w cid uunzl h dvlpmn fn pimum mdl f h sluz n fhpblms dcd in pviusphss Fgus2 3 nd 4 shw h ppsd sucu máificins h sysm Fìgu 2 Mdificçõs ds vmns ds vigs pfil I Figu 2 Mdificin f hbms lcking U Figu 3 Tvmn cm ubs lis uilizçã d um chp d 2 Figu 3 Lcking wih sid ubs nd us f 2 pl Figu 4 Tvmn pps p bs d sgund pns Fígu 4 Lcking ppsd f h scnd pss bs

13 Fi fi mpnh m pp sluçõs simpls ficzs mdificçã pps fi um bixmn ds I vigs pfil cm iss um lv umn n vmn cspndnd um umn d igidz nss pns Fi dpis pps uilizçã d ubs d 5 p s ncgns lis dbs uilizçã d chp d 2 p um gnh d mss n sism d px 7 kg Pimi Cm pps finl fm simulds d bs d sgund vigs pfil U dsnh d n pns cnsidnd vs ns Figu pés dbs dpis n s s ns cndiçõs mlhis u d iginl fuêncis bjiv ds u íms cm mdificçõs ppss duçã ds nívis ds fuêncis nuis sism v cm s significnd u plicçã ds vmns cm s uilizçã d chp d 2 umnm igidz ubs h mss dinâmic d l d sism mlhnd ssim sps msm sã Cm mdificçõs d mss l ppçõs difns mudms ds s igidz h s fuêncis nuis d suu Vl lmb u uçã p dminçã ds fuêncis nuis é dd d fm simplificd p m md ô á hs pnns Afwds i ws ppsd h us f 5 pips f h bs sids nching nd 2 pl f pviding n ddüinl gin f px 7 kg f mss in h sysm As Anlysis f h i ws simuld h cnsiding s h shwn in us lckáng f bms f U Figu 4 ml sucu wih mdifid cn ppsd chngs Bsd n h mhmz cl mdl f h md d suc u n nly h impvnins f h sucu w vi cl fzd bu h dfmfz mds sscid wih h cifz cl mhmz mdl w ls s funcis fh iginl blishd Th gl fhis cmpisn ws cnfim h gis h w culd hv shuld h md ns b implmnd ch fund h wih implmnin f h ppsd chngs h sysm shwd ducd lvis f h nul funcis which ms h h pplicz n fh lcks wih pips nd h 2 pl ffcivly nhncd h igid iy K nd h mss M f h sysm which i u f h impvd h dynmic spns hf Bcus mdific ins fmss M nd igidiy K i diffnpp l funcis f h ins w chngd hfl h nu sucu I is mnib h h simplifid uh n f nul is dmining funcis givn by x K n M Pdms bsv u s finl ppsl n h scnd pss bs I nd Jfzcin sluz ns nidificfz ppsd ws h lwing f h n bms nd hf sligh nhncmn f h I lckng which wuld ps n incs in szffnss diins sism bv cmpçã fi cnfim s gnhs lizçã ds mdificçõs is mdificd mds d dfm sscids às Vificms u simpl nd lcks h bs f ciics d mdl mmáic w v mdl mmáic dsuumdificd fm vificds pdms mdificçõs ppss Cmbs minms cm ffi ing Fis uilizçã d Anális d suu málic ds vmns s iming dfmçõs ds vigs cm s I sism ficu mis sávl sscid à mdificçõs ppss cm iss Figu 5 ms md d 32 Hz fuênci cmpçã fuênci n mdl iginl sism inh dfmçõs mui mis u cmpmi funci chp cm msm fuênci d 794 Hz mbém mdificd psn cs nss d iginl mdl Ess ns shiçã pps h c s h wih h ppsd mdificfz ns bms disppd nd ns f h I dfmfz sul h sysm impvd h chp dfmçõs dfmçõs s n u sism mui mns u n cnlds vlidm dã sgunç un à cmndçã i sbiliy Figu s S shws md sscid wih h 32 Hz funcy funcy f h iginl mdl high dfmins which f h fcd pfmnc f h whl sysm A h 794 Hz funcy h mdifid sysm xhibis cnsidbly lw dfmins hn hs i h iginl sysm Thscnllddfmz nsvlidumdl nd n giv us h ncssy cnfidn bu h ppsd slufz Cmpd h sm h sysm hd much nmn d sism dspcm

14 9 fuêncid d ssnânci p Hz u cspndiumgiã bs málic iginl g cm s giã dspc u signific u s d sism dfmçõs pssm mpliuds cnlds Dpis d simulds ds s pssibilidds d sluçã chgms às ppss d mdificçõs Cm sluçã d mdificçõs s A h 9 Hz fi uncy which pd n f snnc in h iginl ml bs fi m dific íins his disppd mning h h dfmc f h sysm Af simulfz ng íins nw und cnlld li h vibl slufz ns w mpliuds nd up h SnhUP u pvidnciu ds s mdificçõs ppss n ws dfznd h ppsd mdificfz ns nc h sluz mdl nd mil dscipin w dlivd Snh Pnhuni whichimplmndllhppsdmd cins AÁLISE lds AALYSIS lf THE STRUCTURE AFTER finid ngms dsciçã d mil p DE DS DA ESTRUTURA DEPIS DAS MDIFICAÇÕES Dpis mdl PRPSTAS d fis fm fis s THE PIZPSED MDIFICATIS mdificçõs sugids pl SKF náliss d vibçã d sism mbém s fi nális p DS pvlidçã d sud dinâmic máuin d ppl 2 A nális d vibçã cnfimu mlhi spd pl sud d simulçã numéic s Gáfics 8 9 Ill d bs málic ds pnss ds d ndênci msm mlhi pimipns d ns nívis d vibçã n sucçã sgundpns mnlúcid min Mdiçõs fis cm máuin nvlcidd d 69 m n Gáfic 9 ms ndênci m vlcidd mdid n pimi pns pd dpis d fis s s bsvd mlhi n sism mdificçõs nc md w pfnd s suggsd by SKF ns cz nlysis f h sysm ws pc nd ls dn gin h DS nlysis f vlidfz n f h dynmic sudy f h ml bs f his pp mchin 2 psss Th vibi n nlysis cnfimd h impvmn p dicd by h num zcl simulfz n Th nó Gphs 8 9 nd shw h impvmn in vibz n lvis fing h fzs sucfz n pss nd h scnd pss Ynk M sumnsmd wih mchin uming 69 m min spd Gph 9 shw h nó spd s msud h fzspss h sysm impvmn cn b sn f ns w dn mdificz h vibin U Figu 5 Mdificçõs fis n suu fïgu 5 Mdificins md in h sucu Gáfic 8 Gáfic d ndénci d nvlp mdid n pimi pns Gph 8 Envlp nó ypl msud h fis pss Gáfic 9 Gáfic d ndénci d vlcidd mdid pns Gph 9 Spd nó gpi n pimi msud h fis pss

15 Gáfic Gáfic d ndénci d vlcidd mdid As mlhis mbém fm bsvds mnlúcid s pnsd n n d ndênci sgund pns Gph sgund vl gáfics vibçã sã cm v lsciávis p bm dsmpnh d uipmn As mdiçõsfmmds cmmp2pnd 69 m min s vls ncnds sã dn dsgndzs ciá cidd msm u vis cm iss s m nívis d ficiênci ds mdificçõs fi cnfimd CCLUSÃ A nális dinâmic lizd n suu málic dbs w Snh unidd Pnb pblms dinâmics xisns nss uip mn spns cíics lvnds ns sud fm bix igidz d suu málic suu ml dimnsindp s cndiçõs d pçã uis uids pl Snh fl d igidz dbs d du m fl d plniud msu s dbs dslinhmn dinâmic ds bm cm ds dus ms dus ds ixs cdns pblm pincipl dcd pl nss sud igidz d suu málic pis psnv fuêncis nuis póxims ds fuêncis d blh ô bix snd ssim xcid dun á dfmçõs pvnins s dslinhmns ds pçã d máuin As fuêncis gvm dss cnjuns dus ms cnsunmn flhs ds cmpnns dss sism mcânic ms ngngns lmns ixs cdns cplmns Dpis d fis s mdificçõs n sism uip d SKF fz s mdiçõs d vibçã DS p vlid s lçõs induzids suld finl bid fi sisf ói Spd nd gph msud h scnd pss Impvmns w ls sn h scnd pss n Ynk Th Spd nd gphs shw h vibz lvls wihin ccpbl vlus llwing cc p in f h uipmn Msumns w mf wih PM2 unning 69 mí min T lus fund wihin h c ccpbl numbs nd h imd icincyfpfmdmdificfz hf cn ns CCLUSI ds pnss d muin d ppl 2 d ns pvd pls mdiçõs d vibçã DS i Th dynmic nlysis cid u h ml sucu f h pp mchin 2 psss Snh Pnh uni gv vidn h dynmic pblms ng xzsz in Th cifz cl pins fund in his sudy w h uipmn lw igidiy f h ml sucu inccly dimnsind sucu f h pfz ns cun nd uid by Snh n cndifz lck figiáiy f h bs fh ducs nd ms lck fflnss f h bs dynmic mislignmn fms nd ducs s wll s ducs nd cdns shfs Th min pblm fund by u sudy ws h lw Th sucu xhibid ucu igidiy f h mllic sh nul funcis p pfz n funcis bing hf xcid duig h mchin pin D fmins cusd by ls funcis w igin f duc mislignmn nd cnsunly ly m filus f h cmpnn f his mchnicl sysm ms gs bings cdn shfs nd cuplings ns in h sysm h Af implmnd h mdificfz SKFm mf nw vibz n msumns ndpfmd h DSnlysis gin in d vlid h md ns cfz Th bind finl sul ws sfz nd sfcy ppvd by bh vibin msumns nd DS REFERÉCIAS Fisch J REFERECES Yn B 972 Dsign Sucul Dils nd Discninuiis T us ASCE v 2 n K L 24 Pj d Máuins um bdgm ingd in Sl Sfy nd Rhbihy f Ml Suc ARTMED lll RA A 3 7 S I SJ3 776