风电增速箱行星轮系动力学固有特性研究

:2008-10-11;:2008-11-05:(2207E228):(1982-),,,,,(,710048):2K-H,-,:2K-H;;;;:TH113:A:1001-196X(2008)06-0026-05StudyonthenaturalcharacteristicsoftheplanetgeartrainsinthewindturbinesWEIYi2duo,LIUKai,MAChao2feng,GUOXiao2ming(XianUniversityofTechnology,SchoolofMechanicalandPrecisionInstrumentEngineeringXian710048,China)Abstract:Inthispaper,astudyismadeonthenaturaldynamiccharacteristicsofwindpowerspeed-upplanetarygear.Itisarotational-translationalmodelonthebasisofconsideringtheplanetgearofrevolutionfreedom.Allnaturalfrequencies,modeofvibration,parametersofdesignwhichhavegotimpactuponthedy2namiccharacteristicsinthesystemarecalculated.Asaresult,thedimensionalfigureofthemodeshapeundertheconditionoftime-variantmeshstiffnesshasbeenprotracted.Theconclusionobtainedwilldirectthede2signofplanetarygears.Keywords:2K-Hplanetgeartrains;speedincreasinggearbox;time-variantmeshstiffness;naturalfrequency1,,,,R1G1Parker[1],,;[2],,;[3,4],,;[5],,,,(-),,,622008No1621,,-,,,,,,,1,,12K-H,Jc+Nn=1mpnr2cr2cuc+kcuuc+Nn=1kpn(uc-xn)=f(t)Jrr2rur+Nn=1krnrn+kruur=0Jsr2sus+Nn=1ksnsn+ksuus=0Jp1r2p1u1-kr1r1+ks1s1=0mp1x1-ks1s1coss-kr1r1cosr+kp1(x1-uc)=0Jpnr2pnun-krnrn+ksnsn=0mpnxn-ksnsncoss-krnrncosr+kpn(xn-uc)=0(1),kcu;kru;ksu;krnn;ksnn;kpnn;ucur;usunn;xnn;nn;N;rs;JcJrJs(1),MU+(Kb+Km)U={F(t)}(2),U=[uc,ur,us,u1,x1,,uN,xN]TF(t)=[f(t),0,0,,0,0]TM=diag((Jc+Nn=1mpnr2c)/r2r,Jr/r2r,Js/r2s,Jp1/r2p1,mp1,,Jpn/r2pn,mpn)Kb=diag(kcu,kru,ksu,0,kp1,,0,kpn),,4,,;,32K-H12K-H231crsn/kg29891811568115230191312150/kgm2615156876122413214128/kg32681072152130159174241108/()ar=as=20/Nm-1kru=110109,kcu=ksu=0722008No16crsn/Nm-115108/Nm-17510822K-HHzN3456L=10276161169110221911029810117014247116031611117112270110033211117118291215L=N-1109318125412109318125412109318125412109318125412:2,3:(1)0,,(2)L=1,,,,,,,(3)L=N-1,(4)3/Hz29810117014247116109318109318109318125412125412125412uc-011840-010088-010006000000us015632-010971-019227000000u1-012984013757-011600000-011312-017261-012887x1012705013263011074018590-010312-010594000u2-012984013757-011600000-017374016700-012887x2012705013263011074-013904018264-015411000u3-012984013757-011600000016187011338-012887x3012705013263011074-012343-013976-012113000u4-012984013757-011600000012468-010777018660x4012705013263011074-012343-013976018118000,,N1L=N-1,3,2,109318Hz125412Hz,,,4,,,822008No16(pb),,;,22nc=20r/min;i=512174;ns=10413480r/min;T=010309s;e=11700|(-1)T|=010216s;(1-)T=010093sK1=60+5sin337tK2=100+5sin145t34x,,,;y1-uc,2-us,3-u1,4-x1,5-u2,6-x2,7-u3,8-x3,9-u4,10-x4;z34563-6:(1)(),922008No16(2)x-o-y(3,4),,,(3)56,(),;()(4)(),52K-H,,,,,,:[1]R1G1Parker,J1LinMeshPhasingRelationshipinPlanetaryandEpicyclicgears[J].JournalofMe2chanicalDesign,2004,126:365-370.[2]JianLin,R1G1ParkerAnalyticalCharacterizationoftheUniqunePropertiesofPlanetaryGearFreeVibra2tion[J].ASME,1999,121:316-321.[3]A1Kahraman.ExperimentonNonlineardynamicBe2haviorofanOscillatorWithClearanceandperiodicallyTime-varyingParameters[J].JournalofAppliedMechanics2008,64:217-226.[4]RHbaieb,FChaari,TFakhfakhetal.Dynamicsta2bilityofaplanetarygeartrainunderinfluenceofvaria2blemeshingstiffnesses[J].AutomobileEngineering2006,(8):1171-1725.[5],.2K-H[J].:,2006,42(5):16-21.[6],.[J].,2001,18(4):40-43.[7].[D].:,2004.[8].[D].:,2003.(25)nCSP,CSP(3),CSP,CSP:[1],.[J].,1997,(1).[2].[J].,2001,18(4).[3].[J].,2003,20(6).[4],.[M].:,2004.[5],.[M].:,2004.[6].[M].:,1982.[7]C.[M].:,2002.032008No16