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1、英文資料及翻譯原文Experimentalquantificationofcontactfceswithimpactfrictionuncertaintyanalysis1.IntroductionThedynamicsofrottostatcontactdynamicshavebeenstudiedextensivelyinthepastbymanyresearchers.In1962Johnson[1]basedhisstudies

2、onthemotionofaverticalshaftimpactingabearingwithfiniteclearance.Johnsonconsideredtwocasestudiesonewithoutdampingincludedonewithdampingincludedinthemodeling.Howeverhedidnotincludedryfrictioninhismodeltheassessmentofsynchr

3、onouswhirlswasbasedonwhetherthesolutionsarerealwhetherthereactionfcebetweentheclearancebearingtheverticalshaftispositivefinallywhethertheequilibriumisstable.In1965Billet[2]discussedhowthereversewhirlinducedbydryfrictioni

4、naclearancecanbecomeanearresonantwhirloveralargerangeoftheshaftspeeds.Billetshowedhowslipcontributestotheonsetviolenceofwhirlhowthiswhirlspeedcannotexistabovethefirstnaturalfrequencyofthesystem.Furthermehealsodiscussedho

5、wviscousdampingactingonthesystemdecreasesthemaximumreversewhirlspeed.In1967EhrichOConn[3]alsostudiedtherottostatcontactdynamicswheretheyincludedthemotionofthebearinginthemodeling.Heretheydiscoveredanewclassofvibrationalb

6、ehavi.Thesenewphenomenarevealedstatwhirlwhereinlargestatamplitudesmaybeexperiencedatsupercriticalspeeds.Additionallynewjumpshysteresisphenomenawerenoted.OneofthemostdiscussedwkswascarriedoutbyBlack[4]in1968.Blackusedtwod

7、egreeoffreedommodelsftherotstattoinvestigatetherangeofprecessionfrequenciesfwhichdryfrictionwhirlwhiparepossible.HisinvestigationresultedintheUshapedcurvethatseparatesregionsofwhirlwhip.WiththisfigureBlackpredictedthatpr

8、ecessionfrequencyexistedinwhichdryfrictionwhirloccurredthatdryfrictionwhipwilldeveloppersistattheupperlimitofthisprecessionfrequencyrange.In1979Childs[5]describedrubemployed.Theyusedadiscontinuouspiecewiseapproachwithext

9、rastiffnessdampingtermsincludedduringthecontactstage.Theirnumericalsimulationsrevealedthatthesystemcanexhibitderlyharmonicmotionstogetherwithsubharmonicresponsesaswellaschaoticmotions.Thesenonlinearphenomenawerealsoshown

10、inGoldmanMuszynskasresearchwkconductedin1994[17]in1995[18].Meoverin1994LiPadoussis[19]investigatedthedynamicsofthesystemanalyticallynumericallysimulatingthedynamicbehavithroughphaseplaneplotsbifurcationdiagramsaswellasPo

11、incaremapsusingthedryfrictioncoefficienttheeccentricityoftherotimbalanceascontrolparameter.Additionallyin1994Isakson[20]simulatedthedynamicalbehaviofarotinteractingwithnonrotatingparts.Fthisaquasistaticsolutionwasderived

12、fasystemwherethestatoffsetwasneglectedonlyvalidfconstantangularvelocityoftherot.Insomecasesdiscontinuousmultivaluedsolutionswereobtained.Healsodemonstratedthatasteadystatesolutionexistedfasystemwithstatoffsetcontinuousru

13、bbingcontact.In1998PiccoliWeber[21]investigatedpresentedanapplicationfchaoticmotionidentificationfromameasuredsignalobtainedthroughexperiment.TheyassessedthemeasuredsystemthatdemonstratedchaoticmotionbyevaluatingPoincare

14、diagramsLyapunovexponentscrelationdimensionbystatespacereconstructedwithdelayedcodinates.Theassessmentestablishedthatthesystemwaschaotic.In2004Pavlovskaiaetal.[22]conductednonlinearanalysisonatwodegreesoffreedommodelofth

15、eJeffcottrotwithpreloadedsnobberyringsubjectedtooutofbalanceexcitation.Theirstudywasbaseduponanalyzingbifurcationdiagramsphaseptraits.Theirnonlinearanalysisshowedthattheeffectsofthepreloadingiscrucialshouldbeincludedinth

16、emodeling.In2006thetheeticalwkof[22]wasverifiedexperimentallybyKarpenkoetal.[23].Howeverin2000Barthas[2425]testresultscontradictedthefindingsgiveninBlacksmodelalsocontradictedtheexperimentalresultsofLingenerCrallwithapar

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