Understanding Motion WP ENG

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    U e sta i M ti S imu ati

    S U M M A R Y

    What is m ti simu ati ? What ems ca it s ve? H w ce eft the uct esi cess? This a e a esses s me

    these issues a s at sam e ems that m ti simu atis ve. It a s ese ts ea - i e a icati s m ti simuas a CAE esi t .

    w h i t e p A p e R

    i spi at

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    in roduc on

    Si ce the 1980s, whe compute -aided e gi ee i g (CAE) methods sbecame avai ab e i desig e gi ee i g, ite e eme t a a ysis (FEAthe st wide y adopted simu atio too . Ove the yea s, it has he pede gi ee s study the st uctu a pe o ma ce o ew p oducts, a d e

    time-co sumi g, cost y p ototypes with i expe sive compute simu atio CAD mode s.

    Today, because o the g owi g comp exity o mecha ica p oducts ai g y e ce competitio to b i g ew desig s to ma ket aste , e gimou ti g p essu e to exte d the scope o simu atio beyo d FEA. A osimu ati g st uctu a pe o ma ce with FEA, e gi ee s a so eed tothe ki ematics a d dy amics o ew p oducts be o e the bui di g o pp ototypes.

    Motio simu atio a so k ow as igid body dy amicso e s a simapp oach to so vi g those issues. Its use is g owi g ast, a d as it does,

    e gi ee s wa t to k ow mo e about it, aski g: What it is? What p ob eit so ve? How ca it be e t the p oduct desig p ocess?

    Mo on s mula on for m c an sm analys s and syn s s

    Suppose a e gi ee is desig i g a e iptic t amme mea t o t ace t e ipses. Whe he has de ed mates i the CAD assemb y, he ca athe mode to eview how the compo e ts o the mecha ism move (FiguA though assemb y a imatio ca show the e ative motio o assemb

    e ts, the speed o motio is i e eva t a d timi g is a bit a y. To acce e atio s, joi t eactio s, powe equi eme ts, etc., the desig e mo e powe u too . This is whe e motio simu atio comes i .

    FigURe 1: VArIoUS poSITIonS o EllIpTIC TrAMMEl SIMUlATEd USIngCAd AnIMATor

    Motio simu atio p ovides comp ete, qua titative i o matio about ki ematicsi c udi g positio , ve ocity, a d acce e atio , a d the dyi c udi g joi t eactio s, i e tia o ces, a d powe equi eme ts, ocompo e ts o a movi g mecha ism. O te o g eat additio a impothe esu ts o motio simu atio ca be obtai ed vi tua y at o additexpe se, because eve ythi g eeded to pe o m motio simu atio hasde ed i the CAD assemb y mode a eady, a d just eeds to be t athe motio simu atio p og am.

    U n D E r S T A n D I n g M O T I O n S I M U l A T I O n

    Motio simu atio p ovides com-p ete, qua titative i o matio aboutthe ki ematicsi c udi g positio ,ve ocity, a d acce e atio , a d thedy amicsi c udi g joi t eactio s,i e tia o ces, a d powe equi e-me ts, o a the compo e ts o amovi g mecha ism.

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    I the case o the e iptic t amme desc ibed above, the desig e eeddecide the speed o the moto , the poi ts to be t aced, a d the motio ehe wishes to see. The p og am does eve ythi g e se automatica y, wituse s i te ve tio . The motio simu atio p og am uses mate ia p

    om the CAD pa ts to de e i e tia p ope ties o mecha ism compt a s ates CAD assemb y mati g co ditio s i to ki ematic joi ts. It thmatica y o mu ates equatio s that desc ibe the mecha ism motio .

    U ike fexib e st uctu es studied with FEA, mecha isms a e ep eseassemb ies o igid compo e ts a d have ew deg ees o eedom. Aca so ve so ves the equatio s o motio ve y quick y, a d esu ts ii o matio about disp aceme ts, ve ocities, acce e atio s, joi t eaci e tia oads o a the mecha ism compo e ts, as we as the poweto sustai the motio (Figu e 2).

    FigURe 2: lInEAr VEloCITy And MoTor poWEr rEqUIrEMEnT CAlCUlATEdby MoTIon SIMUlATor

    A simu atio o the motio o the i ve ted s ide mecha ism showFigu e 3 p ese ts a exe cise commo y ou d i textbooks o the ko machi es. He e, the objective is to d the a gu a speed a d the aatio o the ocki g a m, whi e the c a k otates at a co sta t speeda a ytica methods ca so ve the p ob em, a d the comp ex umbeis pe haps the most eque t y used by stude ts. Howeve , so vi g sp ob em by ha d equi es i te sive ca cu atio s, a d eve with thcompute ized sp eadsheets, it may take a ew hou s to co st uct ve oa d acce e atio p ots. The , i the geomet y o the s ide cha ges,thi g has to be epeatedmaki g this a i te esti g assig me t o ug aduate stude ts but comp ete y imp actica i ea i e p oduct d

    Motio simu atio so twa e makes it possib e to simu ate the motioi ve ted s ide p actica y i sta t y, usi g data a eady p ese t iassemb y mode .

    U n D E r S T A n D I n g M O T I O n S I M U l A T I O n

    The motio simu atio p og am usesmate ia p ope ties om the CADpa ts to de i e i e tia p ope tieso the mecha ism compo e ts, a dt a s ates CAD assemb y mati gco ditio s i to ki ematic joi ts.

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    FigURe 3: SIMUlATIon o An InVErTEd SlIdEr MECHAnISM To CAlCUlATEAngUlAr VEloCITy o roCkIng ArM

    Motio simu atio a so checks o i te e e ces, a d this is a ve y dcess om the i te e e ce checki g avai ab e with CAD assemb y aMotio simu atio co ducts i te e e ce checks i ea time, a d p o

    exact spatia a d time positio s o a mecha ism compo e ts as weexact i te e i g vo umes. Eve mo e, whe the geomet y cha ges, athe quick etu mecha ism i Figu e 4, the so twa e updates a esuo ds. Each a d eve y esu t pe tai i g to motio may be p ese ted go tabu ated i a y desi ed o mat.

    FigURe 4: USErS CAn EASIly dETECT And CorrECT InTEr ErEnCE bETWEEnSlIdEr And drIVEn lInk.

    E gi ee s ca ep ese t simp e mecha isms such as the e iptic t ami ve ted s ide desc ibed above as 2D mecha isms. A though these a

    cu t a d time-co sumi g to a a yze by ha d, they do posses a a yticatio methods. Howeve , 3D mecha isms, eve simp e mecha isms suchthat show i Figu e 5, have o estab ished method o a a ytica so uBut motio simu atio ca so ve the p ob em easi y i seco ds, becaudesig ed to ha d e mecha isms o a y a d eve y comp exity, both 2D The mecha ism may co tai a a ge umbe o igid i ks, sp i gs, da d co tact pai s with vi tua y o pe a ty i so utio time. Fo exammotio s o the o t-e d suspe sio o the s owmobi e i Figu e 6, emachi e i Figu e 7, o CD d ive i Figu e 8, may be simu ated with tease as that o the i ve ted s ide .

    Motio simu atio co ducts i te -e e ce checks i ea time, a d

    p ovides the exact spatia a d timepositio s o a mecha ism compo-

    e ts as we as the exact i te e -i g vo umes.

    U n D E r S T A n D I n g M O T I O n S I M U l A T I O n

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    FigURe 5: A SIMplE 3d MECHAnISM IS VEry dI ICUlT To AnAlyzE by HAndbUT prESEnTS no problEMS or MoTIon SIMUlATIon.

    FigURe 6: A ronT-End SUSpEnSIon o A SnoWMobIlE ConSISTS onUMEroUS lInkS InClUdIng SprIngS And dAMpErS.

    FigURe 7: An ExErCISE MACHInE dESIgn bEnE ITS roM MoTIon SIMUlATIonUSEd To opTIMIzE THE STEpS MoTIon TrAjECTorIES And CAlCUlATE THEpoWEr gEnErATEd by THE USEr.

    FigURe 8:A Cd drIVE IS A CoMplEx MECHAnISM, yET EASIly AnAlyzEd byMoTIon SIMUlATIon.

    I additio to mecha ism a a ysis, p oduct deve ope s ca a so use msimu atio o mecha ism sy thesis by co ve ti g t ajecto ies o moCAD geomet y, a d usi g it to c eate a ew pa t geomet y. Figu e 9 shsamp e p ob em. This desig eatu es a cam that shou d move a s idea guide ai , a d uses motio simu atio to ge e ate a p o e o that use exp esses the desi ed s ide positio as a u ctio o time a d ts ide moveme t o the otati g b a k cam (the ou d p ate). The hthe t ace path i to CAD geomet y to c eate the cam p o e show i F

    I additio to mecha ism a a ysis,p oduct deve ope s ca a so usemotio simu atio o mecha ismsy thesis by co ve ti g t ajecto ieso motio i to CAD geomet y.

    U n D E r S T A n D I n g M O T I O n S I M U l A T I O n

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    FigURe 9: A dISplACEMEnT UnCTIon IS ApplIEd To MAkE THE SlIdEr TrAVElAlong THE gUIdE rAIl.

    FigURe 10: TrAVEl o THE SlIdEr IS TrACEd on THE roTATIng roUnd plATE ToCrEATE A CAM pro IlE, IllUSTrATEd HErE WITH A grooVE CUT In THE plATE.

    Desig e s ca a so use t ajecto ies o motio , o examp e, to ve i yo a i dust ia obot, such as that show i Figu e 11, a d test the tooobtai i o matio ecessa y whe se ecti g the size o obot eeded

    estab ish powe equi eme tsa without the eed o a y physica

    FigURe 11: SIMUlATEd MoVEMEnT o An IndUSTrIAl roboT THroUgH SEV-ErAl poSITIonS MAkES IT poSSIblE To CrEATE A ToolpATH WITHoUT AnypHySICAl TESTS.

    A othe impo ta t app icatio o motio simu atio e ates to motiby co isio s betwee movi g bodies. Eve though ce tai assumptio smade about the e asticity o such impacti g bodies, motio simu atio paccu ate esu ts o mecha isms with compo e ts that may expe ie ctempo a y co tact, as show i Figu e 12.

    Desig e s ca a so use t ajecto ieso motio to ve i y the motio o ai dust ia obot.

    U n D E r S T A n D I n g M O T I O n S I M U l A T I O n

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    FigURe 12: IMpACT And ConTACT CAn bE SIMUlATEd In MoTIon SIMUlATIon,or ExAMplE, To STUdy A gAp THAT MAy orM bETWEEn A CAM And A ol-

    loWEr (roCkEr) In A VAlVE lI TIng MECHAnISM.

    Us n mo on s mula on alon FeA

    To u de sta d how motio simu atio a d FEA wo k togethe i mechsimu atio , it he ps to u de sta d the u dame ta assumptio s o wh

    too is based.FEA is a ume ica tech ique o st uctu a a a ysis that has come todomi a t CAE app oach o studyi g st uctu es. It ca a a yze the bea y m y suppo ted e astic object, such as the b acket show i Figue astic we mea the object is de o mab e. With the app icatio o a stathe b acket acqui es a ew, de o med shape, a d the emai s motioapp icatio o a dy amic oad causes the b acket to vib ate about the po equi ib ium. FEA ca study disp aceme ts, st ai s, st esses, a d vithe b acket u de static o dy amic oad.

    FigURe 13: A IrMly SUpporTEd brACkET CAnT MoVE WITHoUT dE orMA-TIon.

    I co t ast, a pa tia y suppo ted object, such as the fywhee hi ged ob acket (Figu e 14) ca otate without havi g to de o m. The fywhee as a igid body, which c assi es the device as a mecha ism athe tha st uctu e. To study the motio o the fywhee , we use motio simu atioa d st esses ca ot be ca cu ated whe t eati g the fywhee as a igid(Fo mo e i o matio , p ease see Appe dix 1.)

    To u de sta d how motio simu atioa d FEA wo k togethe i mecha ismsimu atio , it he ps to u de sta d the

    u dame ta assumptio s o whicheach too is based.

    U n D E r S T A n D I n g M O T I O n S I M U l A T I O n

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    FigURe 14: A lyWHEEl SpInS AS A rIgId body AboUT THE HIngE joInIng ITTo THE bASE (Top). THE prESEnCE o rIgId body MoTIon (boTToM) ClASSI-

    IES THIS dEVICE AS A MECHAnISM.

    The di e e ce betwee a st uctu e a d a mecha ism may ot be obvio

    st sight, as the two devices i Figu e 15 i ust ate. Both have swi g aco ected to a immovab e base by a hi ge. The o e o the ight has a co ecti g the a m to the base. The device without the sp i g is the mec

    ism, because the swi g a m ca otate ee y. Whethe it spi s abouthi ge o osci ates about the positio o equi ib ium, o pa t o the dde o m du i g the a m moveme t. The a m shows igid body motio , i g the device o the e t as a mecha ism. Desig e s ca study its motiomotio simu atio .

    FigURe 15: THE SWIng ArM on THE lE T CAn MoVE WITHoUT dE orMATIon;THUS ITS A MECHAnISM. Any MoVEMEnT In THE ArM on THE rIgHT IS ACCoMpAnIEd by dE orMATIon o THE SprIng; THIS MEAnS ITS A STrUCTUrE.

    The additio o the sp i g cha ges the atu e o the device, because oa m ca ot move without de o mi g the sp i g. The o y possib e oti uous a m motio is vib atio about the positio o equi ib ium. Dethe sp i g accompa ies a m motio a d this c assi es the device o theas a st uctu e. FEA ca a a yze the a m vib atio , a d, i desi ed, caca cu ate st ai s a d st esses i the sp i g a d i othe compo e ts wt eated as e astic bodies. (P ease see Appe dix 2 o u the i o mathe di e e ces betwee motio simu atio a d FEA.)

    U n D E r S T A n D I n g M O T I O n S I M U l A T I O n

    The di e e ce betwee a st uctu ea d a mecha ism may ot be obvi-ous at i st sight.

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    I , havi g comp eted motio simu atio studies, the desig e gi ee wpe o m de o matio a d/o st ess a a ysis o a y mecha ism compchose compo e t eeds to be p ese ted to FEA o st uctu a a a y

    Motio simu atio esu ts supp y the i put data, co sisti g o joi t ei e tia o ces that act upo each i k o the mecha ism, equi ed o

    a a ysis co ducted with FEA. Motio simu atio a ways ca cu ates thwhethe o ot o owed by FEA. Joi t eactio s a d i e tia o ce

    itio , i ba a ce, a d mecha ism compo e ts subjected to a ba a cedoads ca be submitted to FEA a d t eated by the a a ysis p og am as

    we e st uctu es.

    Whi e the e gi ee ca t a s e that data om motio simu atio toa y, he ca be su e o the best esu ts i the motio simu atio so twexpo t esu ts to FEA automatica y. Whe used i such a way, motio

    atio a d FEA pe o m whats te med coup ed simu atio . This oadva tage o de i g FEA oads automatica y, e imi ati g guesswosib e e o s commo to ma ua setup.

    The examp e o a c a k mecha ism p ob em show i Figu e 16 demthe coup ed simu atio . He e, the desig e gi ee wa ts to d the mast esses i the co ecti g od.

    FigURe 16: MoTIon SIMUlATIon IndS rEACTIonS on boTH EndS o THE Con-nECTIng rod. InErTIAl orCES ACTIng on THE rod ArE AlSo CAlCUlATEd.

    The p ocedu e o combi i g the use o motio simu atio a d FEA i1. Use motio simu atio to d disp aceme ts, ve ocities, acce e at

    eactio s, a d i e tia o ces acti g o a compo e ts withi thmotio se ected o study. I this step, a the mecha ism i ks aas igid bodies. The p ots i Figu e 16 show co ecti g od joi t du i g o e u tu o a c a k.

    Coup ed simu atio o e s theadva tage o de i i g FEA oadsautomatica y, e imi ati g guess-wo k a d possib e e o s commoto ma ua setup.

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    2. Fi d the mecha ism positio that co espo ds to the highest eactioads o the joi ts o the co ecti g od. A a ysts most o te

    highest eactio s because the a a ysis u de the maximum oads the maximum st esses expe ie ced by the co ecti g od. I desihoweve , a y umbe o positio ssee Figu e 17may be se eca a ysis.

    FigURe 17: orCESrEACTIonS on boTH EndS And InErTIAl orCESACTIng on THE ConnECTIng rod MAy bE dETErMInEd or Any nUMbEro CrAnk SHA T MECHAnISM poSITIonS.

    3. T a s e those eactio oads, a o g with the i e tia oad omassemb y, to the co ecti g- od CAD pa t mode .

    4. The oads that act o the co ecti g od iso ated om assemb y c joi t eactio s a d i e tia o ces, as show i Figu e 18. Acco ddA ambe t p i cip e, these oads a e i ba a ce, maki g it possi

    the co ecti g od as a st uctu e u de a static oad.

    FigURe 18: ACCordIng To THE dAlAMbErT prInCIplE, joInT rEACTIonS ArEIn bAlAnCE WITH InErTIAl orCES.

    5. A co ecti g od subjected to a ba a ced set o static oads is assige astic mate ia p ope ties a d submitted to FEA o st uctu a ssis. FEA pe o ms st uctu a a a ysis to d de o matio s, st ast esses (Figu e 19).

    A a ysts most o te ook o thehighest eactio s because the a a y-sis u de the maximum oads showsthe maximum st esses expe ie ced.

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    FigURe 19: THE ConnECTIng rod IS prESEnTEd To EA AS A STrUCTUrE SoTHAT STrESSES CAn bE CAlCUlATEd.

    Mo on s mula on and s

    Motio simu atio is capab e o impo ti g time-histo y data om a tea motio o a existi g mecha ism ca be easi y ep oduced a d ui c udi g a joi t eactio s, i e tia e ects, powe co sumptio , ai expe sive compute mode s athe tha time-co sumi g a d expe siI a simi a way a mecha ism ca be a a yzed u de i put de ed by

    ytica u ctio .

    FigURe 20: TEST dATA or MoTIon o THE ConTrol ArM IS USEd AS AnInpUT To MoVE THE SUSpEnSIon ModEl In MoTIon SIMUlATIon.

    Fo examp e, i the case o a ca suspe sio , pictu ed i Figu e 20, simu atio a swe s such typica questio s as: How soo a te a wheea cu b wi the osci atio caused to the suspe sio die out? What is

    equi ed dampi g i the st ut? What st esses a e i duced i the co ta d its bushi gs?

    in ra d CAD, mo on s mula on, and FeA

    Both motio simu atio a d FEA use a CAD assemb y mode as a p eo a a ysis. A commo , i teg ated e vi o me t o a th ee too

    the data excha ge amo g CAD, motio simu atio , a d FEA. I teg atiocumbe some data t a s e via eut a e o mats, typica to sta da

    catio s. I additio , the use o motio simu atio i teg ated with CADi te aced with it, g eat y educes the e o t equi ed to set up motiomode s.

    As discussed above, mate ia p ope ties a d CAD assemb y mates ca e-used whe c eati g a motio simu atio mode . Motio t ajectoa e esu ts o motio simu atio , ca be tu ed back i to CAD geomehoweve , is o y possib e i a i teg ated so twa e e vi o me t. Ad

    Both motio simu atio a d FEA usea CAD assemb y mode as a p e eq-uisite o a a ysis.

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    i teg atio with CAD e imi ates a eed o mai tai i g a database osimu atio mode s by sto i g the simu atio mode data a d the esu

    atio s togethe with the CAD assemb y mode . last but ot east, a y cha ges a e u y associative with motio simu atio as we as with

    The So idWo ks CAD p og am togethe with So idWo ks Simu atio

    a d So idWo ks Motio (motio simu atio ) as add-i s ep ese ts thethe a t i i teg ated simu atio too s. Fu i teg atio has bee madebecause So idWo ks, So idWo ks Simu atio , a d So idWo ks Motio

    ative Wi dows app icatio s. A we e deve oped speci ca y o thope ati g system a d ot just po ted om othe ope ati g systems. Fupatibi ity with Wi dows a so assu es compatibi ity with othe app icat

    i g i Wi dows.

    So idWo ks Simu atio , a eadi g FEA p og am, has o g p ove itsab e as a p oduct desig too wo ki g c ose y with CAD, as show iThe additio o So idWo ks Motio ow e ab es a eve mo e comptio o ew p oducts, a d he ps to educe the umbe o physica p o

    eeded i p oduct deve opme t (Figu e 22).

    FigURe 21: THIS dESIgn proCESS USES CAd And EA AS dESIgn ToolS.

    FigURe 22: THE dESIgn proCESS bEnE ITS roM USIng MoTIon SIMUlATIonAlong WITH CAd And EA.

    The So idWo ks CAD p og amtogethe with So idWo ks Simu a-tio (FEA) a d So idWo ks Motio(motio simu atio ) as add-i s

    ep ese ts the state o the a t ii teg ated simu atio too s.

    Sol dworks

    CAD

    Sol dworks

    S mula on

    FeA

    Sol dworks Mo on

    Mo on S mula on

    Sol dworks

    S mula on

    FeA

    Sol dworks

    CAD

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    R al-l f xam l s

    Tigercat

    Tige cat (www.tige cat.com), a eadi g ma u actu e o such o estas skidde s, o wa de s, a d e e -bu che s, used So idWo ks to d

    e e -bu che head show i Figu e 23. The compa ys e gi ee s thated its u ctio s with So idWo ks Motio a d So idWo ks Simu atepo ts that simu atio o the motio , dy amics, a d st esses o this c

    mecha ism educed empi ica testi g equi eme ts to a si g e p ototyP ototype testi g u y co med the simu atio di gs.

    FigURe 23: THE EllIng HEAd o A EllEr-bUnCHEr by TIgErCAT, obrAnd ord, onTArIo WAS dESIgnEd In SolIdWorkS And SIMUlATEd InSolIdWorkS MoTIon And SolIdWorkS SIMUlATIon.

    FANUC Robotics America Inc.

    FAnUC robotics (www. a uc obotics.com) ma u actu es a wide y usep oduct i e that he ps custome s i ma y di e e t i dust ies optim

    owe costs, imp ove qua ity, a d mi imize waste i thei ma u actutio s. Fo its custome s to gai those be e ts, FAnUC o e s ma y disizes o obotic too s, as i dicated i Figu e 24, a d the custome s eese ect the ight size o thei speci c app icatio s. They do so by a ape o ma ce a o g speci ed too pathsa d simu atio with So idWmakes such a a ysis a d se ectio much easie .

    FigURe 24: THIS IndUSTrIAl roboT WAS CrEATEd by AnUC roboTICSAMErICA, o roCHESTEr HIllS, MICHIgAn.

    Simu atio o the motio , dy amics,a d st esses o this comp ex mecha-

    ism educed empi ica testi gequi eme ts to a si g e p ototype.

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    AppeNDiX 1: R d Body Mo on

    I a object ca move without u de goi g de o matio , we desc ibe iti g igid body motio , o igid body mode. The p ese ce o igid bodyc assi es the object as a mecha ism.

    Figu e 27 shows a ba joi t. The base is immovab e. Such a joi t has tbody motio s because it ca move i th ee i depe de t di ectio s, o t

    otatio s, without de o matio . Th ee i depe de t va iab es, a so cao eedom, desc ibe the positio o this mecha ism.

    FigURe 27: THE bAll joInT MECHAnISM SHoWn IS A kInEMATIC pAIr WITHTHrEE rIgId body MoTIonS.

    Figu e 28 i ust ates a p ate s idi g o a immovab e base p ate. Thiism a so has th ee igid body motio s because the s idi g p ate ca t

    i two di ectio s a d ca otate i o e di ectio without expe ie ci gde o matio . Agai , th ee deg ees o eedom desc ibe the positio omecha ism.

    FigURe 28: THE SlIdIng plATE MECHAnISM HAS THrEE rIgId body MoTIonS.

    The ou -ba i kage show i Figu e 29 has o e igid body motio . Ope de t va iab e, o examp e the a gu a positio o a y i k, despositio o the e ti e mecha ism. note that depe di g o the detai ed hdesig , hi ge pi s may have oca igid body motio s, that is, otatio pi axis a d/o s idi g a o g the pi axis.

    The p ese ce o igid body motio (s)c assi es the object as a mecha ism.

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    dassau t S stmes S i W s C .300 ba e Ave ueC c , MA 01742 USAph e: 1 800 693 9000outsi e the US: +1 978 371 5011Emai : i @s i w s.c m

    Conclus on

    A o g with simu ati g st uctu a pe o ma ce with FEA, e gi ee sdete mi e the ki ematics a d dy amics o ew p oducts be o e the buphysica p ototypes. They a so ace mou ti g p essu e to exte d the ssimu atio beyo d FEA. Motio simu atio o e s a simu atio app

    i g these p ob ems. The esu ts o motio simu atio ca be obtai edat o additio a time expe se, because eve ythi g eeded to pe o m msimu atio has bee de ed i the CAD assemb y mode a eady.

    I additio to mecha ism a a ysis, p oduct deve ope s ca a so use msimu atio o mecha ism sy thesis by co ve ti g t ajecto ies o moCAD geomet y, a d usi g it to c eate a ew pa t geomet y. I , havi g cmotio simu atio studies, the desig e gi ee wa ts to pe o m de oa d/o st ess a a ysis o a y mecha ism compo e t, the chose comp

    eeds to be p ese ted to FEA o st uctu a a a ysis. Motio simu atsupp y the i put data equi ed o st uctu a a a ysis co ducted with

    Whi e the e gi ee ca t a s e that data om motio simu atio toa y, you ca be su e o the best esu ts i the motio simu atio so texpo t esu ts to FEA automatica y. So idWo ks so twa e o e s jucapabi ity with its u y i teg ated So idWo ks Simu atio a d So idso twa e. Togethe , these So idWo ks so utio s e ab e a eve mo esimu atio o ew p oducts a d he p educe the umbe o p ototype