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1、TechnicalNote135Analysisofwater-lubricatedjournalbearingswithmultipleaxialgroovesBCMajumdar1*,RPai2andDJHargreaves31DepartmentofMechanicalEngineering,IndianInstituteofTechnology,Kharagpur,India2DepartmentofMechanicalEngineering,ManipalInstituteofTechnology,Manipal,India3DepartmentofMechanicalEngin
2、eering,QueenslandUniversityofTechnology,Brisbane,Queensland,AustraliaAbstract:Thesteadystateanddynamiccharacteristicsincludingwhirlinstabilityofwater-lubricatedjournalbearingshavingthreeaxialgroovesareobtainedtheoretically.TheReynoldsequationissolvednumericallybythe®nitedifferencemethodsatisfyingt
3、heappropriateboundaryconditions.Thedynamicbehaviourintermsofstiffnessanddampingcoef®cientsof®lmandstabilityarefoundusinga®rst-orderperturbationmethod.Ithasbeenshownthatbothloadcapacityandstabilityimprovewhensmallergrooveanglesareused.Keywords:axialgroove,journalbearings,steadystate,stability,water
4、-lubricatedNOTATIONttime(s)Wsteadystateload(N)Cradialclearance(m)Wr,WtcomponentsofloadalongthelineofcentresDdiameterofthebearing(m)andperpendiculartothelineofcentres(N)Drr,Dff,Drf,Dfrdampingcoef®cient(Ns/m)agrooveangle(rad)(Fig.1a)Drr,Dff,Drf,Dfreeccentricityratioˆe=Cnon-dimensionaldampingcoef®cie
5、nt,e1,f1perturbationparametersDijˆDijCo=…LDps†Zcoef®cientofabsoluteviscosityoftheeeccentricity(m)lubricant(Pas)Fr,Frdynamic®lmforcealongtheradialdirection,y,znon-dimensionalcoordinates,x/R,z/L,y,Fr=…LDps†measuredfromthelineofcentres¤Ff,Ffdynamic®lmforcealongthefdirection,ycoordinateinthecircumfere
6、ntialdirectionFf=…LDps†measuredfromthecentreofthegrooveh,hlocal®lmthickness(m),hˆh=Clwhirlratioˆop=ohi2Krr,Kff,Krf,KfrLbearingnumber,6Zo=ps…C=R†stiffnesscoef®cients(N/m)mcoef®cientoffrictionKrr,Kff,Krf,Kfrmfrictionvariableˆm…R=C†non-dimensionalstiffnesscoef®cients,tnon-dimensionaltime,optKijˆKijC=
7、…LDps†fattituteangle(rad)Llengthofthebearing(m)cassumedattitudeangleM,Mrotormass(kg),massparameter,ojournalrotationalspeed(rad/s)MˆMCo2=…LDps†opfrequencyofjournalvibration(rad/s)p,p®lmpressure(Pa),pˆp=ps…†0steady
