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POWERPLANTMOUNTSYSTEMDESIGNPITCHISROTATIONABOUTTHEXAXISPITCHCOUPLESARECOUPLESABOUTTHEXAXISYAXISISSIDETOSIDEROLLISROTATIONABOUTTHEYAXISTORQUESARECOUPLESABOUTTHEYAXISCRANKZAXISISVERTICALYAWISROTATIONABOUTTHEZAXISYAWCOUPLESARECOUPLESABOUTTHEZAXIS123ZYAWXPITCHYROLLTORQUEROLLAXISTRATHETORQUEROLLAXISISTHEAXISONWHICHAFREEFREEPOWERTRAINWOULDROTATEIFSUBJECTEDTOANOSCILLATINGTORQUEABOUTTHECRANKSHAFTTHISAXISDEPENDSONLYONTHEINERTIAPROPERTIESOFTHEPOWERTRAINTHECENTEROFGRAVITYISLOCATEDONTHISAXISPRINCIPALSTATICROLLAXISIFTHEMOUNTSYSTEMISDESIGNEDWITHSUFFICIENTCARETHENTHEREISAPRINCIPALROLLAXISSUCHTHATASTATICTORQUEPRODUCESONLYROLLAPRINCIPALYAWAXISSUCHTHATYAWCOUPLESPRODUCEONLYYAWAPRINCIPALPITCHAXISSUCHTHATPITCHCOUPLESPRODUCEONLYPITCHTHESEAXESDEPENDONMOUNTSTIFFNESSANDGEOMETRYFORCESINTHEDIRECTIONOFTHESEAXESPRODUCEONLYMOTIONINTHESAMEDIRECTIONTORQUEROLLAXISSYSTEMIFTHETORQUEROLLAXISCONTROLLEDBYINERTIAANDTHEPRINCIPALROLLAXISCONTROLLEDBYSTIFFNESSCOINCIDETHENANOSCILLATINGENGINETORQUEWILLCAUSETHEPOWERPLANTTOROLLTHEREWILLBENOOTHERMOTIONENGINEORDERFORCES,COUPLESANDTORQUESBASICDEFINITIONSANDCONCEPTSENGINEORDERFORCESFNCOUPLESANDTORQUESOSCILLATEATFREQUENCIESWHICHAREMULTIPLESOFTHECRANKSHAFTROTATIONFREQUENCIESTRPMQTRPFNN602SI,THEOSCILLATIONFREQUENCYISFNGASTORQUESDUEENGINEFIRINGDEPENDONTHROTTLESETTINGINERTIAFORCES,COUPLESANDTORQUESAREDUEPISTONANDCONRODOSCILLATIONSINERTIAFORCES,COUPLESANDTORQUESAREPROPORTIONALTORPM2QN/2ISTHERMSVALUEUSEDINNVHTHEFREQUENCIESCORRESPONDINGTOIMPORTANTORDERSMUSTBETAKENINTOACCOUNTHEREWEGIVEABRIEFSUMMARYORDER6006607207808409009601020108011201200RPM11011121314151617181920HZ15151651819521225242552728530HZ22022242628303234363840HZ33033363942454851545760HZENGINEORDERTYPESTHEREAREFOURTYPESANORMALENGINEFIRINGORDERTORQUESALLENGINESOFGIVENTYPEHAVETHEMDESCRIPTIONENGINECRANKSHAFTORDERI3FIRINGTORQUES3/2,3,9/2I4FIRINGTORQUES2,4,6,V6FIRINGTORQUES3,6,9,V8FIRINGTORQUES4,8,12,USUALLYTHELOWESTORDERISTHEMOSTIMPORTANT,3/2FORI3,2NDFORI4,ETCATWOLITERI4SHOULDHAVEA2NDORDERGASTORQUEOFABOUT80NMAT1000RPM,IDLEINGEARWITHAUTOMATICTRANSMISSIONTHEPRIMARYFIRINGTORQUEOFV6SANDV8SARESMALLERRELATIVETOTHEIRSIZEBNORMALINERTIACOUPLESANDFORCESTHESEFORCESANDCOUPLESRESULTFROMTHEACCELERATIONSOFTHEPISTONSANDCONNECTINGRODSUSUALLYTHECRANKSHAFTHASEXTRABALANCEWEIGHTSTOREDUCEPISTONFORCESBY50BALANCEBUTTHISPRODUCESNEWFORCESINTHEDIRECTIONPERPENDICULARTOTHECYLINDERSANDCRANKSHAFTDESCRIPTIONENGINECRANKSHAFTORDERI3INERTIACOUPLEPITCHANDYAWAXES1,2I3INERTIATORQUECRANKAXISNOINERTIATORQUEI4INERTIATORQUEABOUTCRANKAXIS2I4VERTICALINERTIAFORCE290V6INERTIACOUPLE160V6MKC2CTHERESONANTFREQUENCYOFTHESYSTEMISFRMKFR21FORCETRANSMISSIBILITYWHENAFORCEFISAPPLIEDTOTHEMASSTHESPRINGANDDAMPERTRANSMITAFORCEFTO“GROUND”THEFORCEFISGIVENBY2TKXTHEFORCETRANSMISSIBILITYIS22RRFJFFFFTRANSFROMTHISWECANSEETHEFOLLOWINGRESULTSCKMXFFIGURESDOFSYSTEMFIGUREFORCETRANSMISSIONFCKMFJSQRT110FTRANSJFFFTRANSRR21FORVERYLARGEF2RRFFFJFRFIGUREEFFECTOFONTRANSMISSIBILITYTHEMOUNTINGSYSTEMRESONANCEFREQUENCYSHOULDBEMUCHLESSTHANTHATOFTHELOWESTFREQUENCYPROBLEMRESONANCEFLTHATCANBEEXCITEDBYTHEENGINEFORCESBECAUSET2FR1ITISSOMETIMESSUGGESTEDTHATTHEMOUNTRESONANTFREQUENCYSHOULDBELESSTHANFL/22/LFCAUTIONATHESTIFFNESSOFELASTOMERICMOUNTSTENDSTOINCREASEWITHFREQUENCYSOHIGHFREQUENCYISOLATIONMAYNOTBEASGOODASEXPECTEDBHIGHFREQUENCYNOISEISUSUALLYABIGGERPROBLEMTHANLOWFREQUENCYNOISESOHIGHFREQUENCYISOLATIONISIMPORTANTPARTICULARLYFORVEHICLEDRIVENATHIGHSPEEDONSMOOTHROADSTORQUETRANSMISSIBILITYENGINETORQUEISTHEMOSTIMPORTANTSOURCEOFVIBRATIONATWODIMENSIONALMODELILLUSTRATESTHEKEYIDEASTHELARGERECTANGULARBLOCKREPRESENTSTHEENGINEVIEWEDALONGCRANKSHAFTTWOMOUNTSSUPPORTTHEWEIGHTANDRESISTTHETORSIONALFORCESTYPICALREARWHEELDRIVEARRANGEMENTWEHAVETORSIONALSPRINGRATE2KWKT00101110100012345678910F/FF/FRZETA0125ZETA05014WHENATORQUETISAPPLIEDTHEMOUNTSTRANSMITATORQUETTO“GROUND”THECALCULATIONSARETHESAMEASFORMASSANDFORCE,ANDSOWECANWRITETHETORQUETRANSMISSIBILITYAS22RRFJFFIKFTR1THEFORCEATEACHMOUNTISJUSTFT/2WSOFORTHEMOUNTFORCESWTF210WJFTFR14SOWECANREDUCETHETRANSMITTEDFORCEBYINCREASINGWTHISTYPEOFSYSTEMALSOHASAVERTICAL“BOUNCE”MODEATMKFBOUNCE21MOUNTSTIFFNESSKBODYATTACHMENTPOWERPLANTINERTIAIMASSMTORQUEWMOUNTSTIFFNESSKBODYATTACHMENTSIMPLIFIED3POINTPENDULUMTRASYSTEMENDVIEWYDIRECTIONALONGCRANKPLANVIEWVIEWFROMABOVETHEPICTURESABOVESHOWASIMPLIFIEDVERSIONOFA“PENDULUM”TYPETORQUEROLLSYSTEMTHEUPPERMOUNTSSUPPORTTHEENGINEWEIGHTANDPROVIDEISOLATIONFROMVERTICALFORCESTHEUPPERMOUNTSALSORESISTFIRINGTORQUETHEROLLRESTRICTORMOUNTONLYRESISTSENGINETORQUETHEIMPORTANTMOTIONSAREROLLFOREAFTXPITCHVERTICALMOTIONZMODEDECOUPLINGTHEFOLLOWINGRELATIONSHIPSPROVIDEAPPROXIMATEMODEDECOUPLINGROLLMOUNTSTIFFNESSKRBODYATTACHMENTBRACKETPOWERPLANTINERTIAIMASSMTORQUEWBUPPERMOUNTSTIFFNESSKU1,U2BODYATTACHMENTBRACKETWRVEHICLEFOREAFTROLLMOUNTSTIFFNESSKRBODYATTACHMENTBRACKETPOWERPLANTINERTIAIMASSMCRANKL1UPPERMOUNTSTIFFNESSKU1BODYATTACHMENTBRACKETL2VEHICLEFOREAFTUPPERMOUNTSTIFFNESSKU2CGTODECOUPLETHEFOREAFTXMOTIONFROMROLLBXURXWKK21TODECOUPLEVERTICALZMOTIONFROMPITCH21LZUZUTODECOUPLEFOREAFTXMOTIONFROMYAWROLLRESTRICTORIGNOREDKXXTHEDECOUPLEDRESONANTFREQUENCIESARETHENMKFZUZVERTICAL21MKFRXUXAFTORE21YRXROLIKWF2XZUPITCHIKLF12ZXUYAWIKLF12TYPICAL3POINTTRAPENDULUMSYSTEMTHENEXTFIGURESSHOWSASIDEVIEWOFATYPICAL3POINTTRASYSTEMSIDEVIEWOFTYPICAL3POINTTRASYSTEMWENOTETHEFOLLOWINGTHETORQUEROLLAXISISATANANGLETOTHECRANKAXISBECAUSEOFTHEMASSDISTRIBUTIONTHEPRINCIPLEROLLAXISISALSOATANANGLETOTHECRANKAXISBECAUSEOFTHEMOUNTARRANGEMENTTHEPRINCIPALROLLAXISISSIMILARTOTHETORQUEROLLAXISBUTCANNOTBEMADEEXACTLYTHESAMETHEFRONTBLOCKANDTRANSMISSIONMOUNTSARECLOSETOTHETORQUEROLLAXISTHEFOLLOWINGPICTURESHOWSAPLANVIEWVIEWFROMABOVECGPRINCIPLEROLLAXISPRINCIPLEYAWAXISCRANKAXISTRATRANSMISSIONMOUNTROLLRESTRICTORMOUNTFRONTBLOCKMOUNTTOPPLANVIEWOFTYPICAL3POINTTRAPENDULUMSYSTEMS18EXAMPLEASANEXAMPLEOFHOWTHISALLWORKSWEGIVETHES18PARAMETERSANDSHOWHOWCAECALCULATEDFREQUENCIESCOMPARETOTHESIMPLIFIEDCALCULATIONSWEALSOGIVEEXPERIMENTALRESULTSPOWERPLANTINERTIADATAMASS131KGJXX365KGMMJYY577KGMMJZZ459KGMMMOUNTSTIFFNESSESN/MMXYZRIGHTUPPER9540125LEFTUPPER24055110ROLLRESTRICTOR24000MOUNTPOSITIONSWR209MWB153AVERAGETWOMOUNTSL1407ML2417MDECOUPLINGTODECOUPLEROLLFROMFOREAFTMOTIONWENEED121BXURWKCALCULATEDVALUE98TODECOUPLEPITCHFROMVERTICALMOTIONWENEED21LKZUCALCULATEDVALUE111CGPRINCIPLEROLLAXISPRINCIPLEPITCHAXISCRANKAXISTRATRANSMISSIONMOUNTROLLRESTRICTORMOUNTFRONTBLOCKMOUNTOUTPUTSHAFTAXISRESONANTFREQUENCIESHZROLLPITCHVERTICALBOUNCESIMPLECALCULATION9616467CAE11169TESTRESULT98,109,13,1516653THEROLLMODEMIXESWITHVERTICALBOUNCEANDLATERALMOTION,ALSOWITHSOMEVEHICLEMOTIONEFFECTOFBODYANDSUSPENSIONRIGIDMODESTHEMULTIPLEROLLANDBOUNCEMODESAREDUETOINTERACTIONWITHBODYANDSUSPENSIONRIGIDMODESTHISTYPEOFEFFECTNEEDSTOBECONSIDEREDWHENDESIGNINGANDTUNINGMOUNTSYSTEMSTYPICAL4POINTTRAPENDULUMSYSTEMTHESCHEMATICBELOWSHOWSAFOURPOINTMOUNTSYSTEMTHEUPPERMOUNTSARESIMILARTOTHOSEINTHE3POINTSYSTEMTHETWOROLLRESTRICTORMOUNTSOPERATEINTHEVERTICALDIRECTIONANDRESISTALLTHETORQUETHEROLLRESTRICTORMOUNTSAREATTACHEDTOASUBFRAMESORTOAFOREAFT“BELLYBAND”THEGEOMETRYOFTHEVARIOUSAXESISSIMILARTOTHATOFTHETHREEPOINTSYSTEMSIDEVIEWOFTYPICAL4POINTTRASYSTEMTOPPLANVIEWOFTYPICAL4POINTTRASYSTEMDAMPINGFORELASTOMERICMOUNTSRUBBERTYPEMOUNTSTHETYPICALVISCOUSDAMPINGCOEFFICIENTIS054HYDROMOUNTSCANBEDESIGNEDTOGIVEMUCHMOREDAMPINGATLOWFREQUENCIESWITHOUTTOOMUCHDEGRADATIONATHIGHFREQUENCIESTHISMAYBEHELPFULINDAMPINGTHEEFFECTOFSUDDENTORQUECHANGESASFOREXAMPLEWITHGEARCHANGEANDCLUTCHENGAGEMENTCGPRINCIPLEROLLAXISPRINCIPLEPITCHAXISCRANKAXISTRATRANSMISSIONMOUNTROLLRESTRICTORMOUNTSFRONTBLOCKMOUNTOUTPUTSHAFTAXISCGPRINCIPLEROLLAXISPRINCIPLEYAWAXISCRANKAXISTRATRANSMISSIONMOUNTROLLRESTRICTORMOUNTSFRONTBLOCKMOUNTLOWFREQUENCYMODALSTRATEGYMODALSTRATEGYTORQUEROLLSYSTEMTHEUSUALOBJECTIVESCANBESUMMARIZEDASFOLLOWS1DECOUPLINGTRYTOACHIEVEMODESWHICHAREASCLOSETO“PURE”ASPOSSIBLE,THATISTHEYAREPURELYVERTICALBOUNCE,F/A,ROLL,ETC2FREQUENCYTHEMODESSHOULDBEINTHERANGE10TO20HZ,WITHASMUCHFREQUENCYSEPARATIONBETWEENMODESASPOSSIBLEIMPORTANTMODESFREQUENCIESSHOULDBEASLOWASPOSSIBLETOIMPROVEISOLATIONROLLASLOWASPOSSIBLETOISOLATEFIRINGTORQUEPITCHSHOULDBELOWERTHAN1STORDERATIDLEFORI3SBOUNCEASLOWASPOSSIBLEFORI4STOIMPROVE2NDINERTIAFORCEISOLATIONITISIMPORTANTTOKEEPTHERIGIDBODYENGINEMODESWELLSEPARATEDFROMVEHICLEBODYMODESSUCHASTHESTEERINGCOLUMNRESONANCEIMPORTANTMODESAREFOUNDINTHEAPPROXIMATEFREQUENCYRANGESSHOWNINTHEFOLLOWINGCHARTNOTETHATFREQUENCIESTENDTOBEHIGHERINSMALLVEHICLESANDLOWERINLARGEVEHICLESMODETYPEFREQUENCYRANGEHZ48163264128256512POWERPLANTRIGIDBODYMOUNTACCESSORYFWDBND/TRSEXHAUSTBODYMODES1STBENDING2NDBENDING1STTORSIONSTCOLUMNFRONTFLOORFIREWALLSPARETIRETUBGASTANKHATCHDECKLIDLOCALATTACHMACOUSTICMODESLONGITUDINALTRANSVERSELONGTRANSOTHER48163264128256512MODETYPEFREQUENCYRANGEHZTHEPOWERPLANTRIGIDBODYMODESSHOULDBEWELLBELOWTHELOWESTIMPORTANTBODYMODESINPARTICULAR,THEROLLMODEFREQUENCYFROLLSHOULDBELESSTHAT1/2TIMESTHELOWESTIMPORTANTBODYMODEFREQUENCYFIMPBODY2IMPBODYROLFHIGHFREQUENCYISSUESTHEREARETHREEBASICPROBLEMSATHIGHFREQUENCIESINERTIAFORCESANDCOUPLESINCREASELIKERPMORFREQUENCYSQUAREDWHILEISOLATIONONLYINCREASESLINEARLYTHISISABIGPROBLEMFORI4ENGINESWHERETHE2NDORDERINERTIAFORCECANCAUSEBIGNVHPROBLEMSTHEBESTSOLUTIONISTWIN2NDORDERBALANCESHAFTSLANCHESTERBALANCESHAFTSELASTOMERICMOUNTSTENDTOGETSTIFFERATHIGHFREQUENCIESHYDROMOUNTSARESOMETIMESUSEDTOPRODUCEABETTERBALANCEOFHIGHANDLOWFREQUENCYBEHAVIOR,BUTTHEREAREAVARIETYOFTRADEOFFSSUCHASHIGHERCOSTANDPOSSIBLENVHPROBLEMSDUETOINTERNALRESONANCESBRACKETRESONANCESCANCAUSENVHPROBLEMSALLBRACKETRESONANCESFREQUENCIESSHOULDBEASHIGHASPOSSIBLE,CERTAINLY200HZBRACKETSSHOULDBEASSHORTASPOSSIBLEANDAPPROPRIATELYDESIGNEDDESIGNISSUESTHETHREEPOINTSYSTEMISEASIERTOINSTALLTHANTHEFOURPOINTSYSTEMTHE4POINTSYSTEMMUSTBEASSEMBLEDCAREFULLYTOENSURETHATTHEROLL“SNUBBERS”ARENOT“GROUNDED”THE4POINTSYSTEMISBETTERFORLARGEHIGHTORQUEENGINESTHEFOURPOINTMOUNTSYSTEMEXCITESBODYBENDINGMORESTRONGLYTHANTHETHREEPOINTSYSTEM,SOCAREMUSTBETAKENTOAVOIDEXCITINGBODYBENDING,PARTICULARLYBY2NDORDERFIRINGOF4CYLINDERENGINESTHEFIRINGFREQUENCIESOFV6ANDV8ENGINESAREMUCHHIGHERSOTHE4POINTMO
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