齿轮传动加速度噪声辐射机理研究

224Vol.22No.4200012JOURNALOFMECHANICALSTRENGTHDecember2000XRESEARCHONACCELERATIONNOISERADIATIONFROMGEARTRANSMISSIONXX(,710072)SHAORenpingSHENYunwenSUNJincai(DepartmentofMechanicalEngineering,NorthwesternPolytechnicalUniversity,Xian710072,China),,,TH132.41TB533.1TH113.1AbstractBothimpactforceandimpactaccelerationcomingfromthemachiningerrorandelasticdeformationofgeartransmissionsystemhavebeenanalyzedbythetheoryofgeardynamics.Usingtheacousticaltheory,theacousticalcharacteristicparameters,i.e.thesoundpressureandsoundpoweretal,generatedatbeingingearshavebeencomputed.Therefore,thegearaccelerationnoisecanbecomputedquantitately.Thisisofgreatimportancetonoise2reducingandnoisecontrolofgearsystem.Keywordsgeartransmission,accelerationnoise,soundradiationcharacteristic1,,,,,[15],;,;,,,,,,,22.1,,,,Vs,[6],Vs=1rg11+1i1-cos(e1+r1)cos(1);rg1rg2;e1+r1,cos(e1+r1)=(rg1+rg2)cosP(rg1+rg2),rg2,m1m2Vs,,Fm=Vsbqe1J1J2J1rg22+J2rg12(2)J1J2;b;qe1e12.2,,,XXX,,19627,,,,2,3019991003,19991025,,V=0,,fs=Fmsintst=Fmsin(st)(0tts)(3)ss=Pts;tsts0fsdt=meVs-meVts=me2FmVs(4)me=m1m2P(m1+m2)2.3,asas=fsPme=FmPmesintst(0tts)(5)VF=t0asdt=Fmtsme1-costst=12Vs1-costst(0tts)(6)3,,,[7]1r5rr55r+1r25252+525Z2-1c2525t2=0p=55rur=-55r(7),c,,p,ur,r(r,,t)=A1cosH(2)1(kr)ejt,H(2)1(kr)21a,a=rgtge,ur|r=a=u0ejtcos,u0(7)ur=-A1cosejtH(2)1(kr)kA1=-u0kH1(2)(ka),(r,,t)=-u0coskH(2)1(ka)H(2)1(kr)ejt(8)(6)VFu0ejt(r,,t)=-cosVs2kH(2)1(ka)H(2)1(kr)1-costst(9)ur=-55r=cosVs2H1(2)(ka)H1(2)(kr)1-costst(10)p=55t=-cosVs2kH1(2)(ka)H1(2)(kr)tssintst=-FmcosH(2)1(kr)kmeH1(2)(ka)sintst(11)H(2)1(kr)=J1(kr)-jY1(kr),H1(2)(kr)=J1(kr)-jY1(kr),PRMSPRMS=pmax2=Fmcos2kmeH(2)1(kr)H(2)1(ka)=Fmcos2kme{[J1(kr)J1(ka)+Y1(kr)Y1(ka)]+j[J1(kr)Y1(ka)-Y1(kr)J1(ka)]}{[J1(ka)]2+[Y1(ka)]2}(12)Wrad=k(s)P2RMScds=20b2-b2P2RMScRddz=bR(Fmcos)2cm2ek2{[J1(kR)J1(ka)+Y1(kR)Y1(ka)]2+[J1(kR)Y1(ka)-Y1(kR)J1(ka)]2}P{[J1(ka)]2+[Y1(ka)]2}2(13),,z,H(2)1(z)=2Pze-j(z-34),(11)p=-Fmcos2Pkre-j(kr-34)kme[J1(ka)-jY1(ka)]sintst(14)PRMS=Fmcosmekkr{[J1(ka)]2+[Y1(ka)]2}J1(ka)coskr-34+Y1(ka)sinkr-34+jY1(ka)coskr-34-J1(ka)sinkr-34(15)Wrad=k(s)P2RMScds=20b2-b2P2RMScRddz=2b(Fmcos)2m2ek3c{[J1(ka)]2+[Y1(ka)]2}(16)4,,,Z1=60,Z2=40,m=2.0,7.5kW1=211radPs,998,b=0.025m,R=0.45m(314)113224:(a)T=20200(b)T=1400200(a)T=201000(b)T=140010004SiC(SEM)Fig.4ThemicrostructuresofSiCatdifferenttemperatures5SiC(SEM)Fig.5ThemicrostructuresofSiCatdifferenttemperatures,SiCCv,mCv,mCvm=1.186PCv-0.665(r=0.9951)(6)Weibull,Morrell51)SiCWeibull,8002)3)SiCWeibullCvm=1.186PCv-0.6651..:,1990.2,,..,1998,(4):30313AyaldeSJayatilaka.Fractureofengineeringbrittlematerials.London:AppliedSciencePublishersLTD,1979.4CurtisRV,JuszczykAS.Analysisofstrengthdatausingtwo2and2three2parameterWeibullmodels.J.Mater.Sci.,1998,33:11511157.5KenichiNoguchi.Strengthanalysisofyttria2stabilizedtetragonalzirconiapolycrystals.J.Am.Ceram.Soc.,1990,73(9):26672676.6OrlovskajaN.ThevalidityofWeibullestimators2experimentalverification.J.Mater.Sci.,1997,32:19031907.7,..:,1996.8,.Weibull.,1998,20(1):8186.9,..:,1992.10..:,1995.11MorrellR.Handbookofpropertiesoftechnicalandengineeringceramics.London:HerMajestysStationaryOffice,1985:104.1Fig.1Soundradiationpower(311)=1.293kgPm3,c=331.5mPs,0.054mPs,Wrad()1,,4760Hz,90.4dB,,;,[8],,5,,,,,1DeJongRG,ManningJE.Gearnoiseanalysisusingmodernsignalprocess2ingandnumericalmodelingtechniques.SAETechnicalpaperNo.840478,1984.2LnoueK,TownsendDP.Optimumdesignofagearboxforlowvibration.Trans.ASME,J.Mech.Des.,1993,115(4):10021007.3ChoyFK,Qianw,ZakrajsekJJ.Vibrationandnoiseanalysisofageartransmissionsystem.AIAA-93-2150,1993.4..,1994,5(2):5557.5,..,1990,9(4):5761.6,..,1991,10(1):4248.7MP,()..:,1993.8,..:,1993.9..:,1999.4132000