内啮合转子压缩机工作腔容积计算及分析

11211.,,7100492.,,210016:,,,-,:;;;;;:TH45:1004132X(2008)16190405CalculationandAnalysisonVolumeofWorkingChambersforInternal-meshingCompressorFengShiyu1GaoXiufeng1LiuWeihua2LiYun11.XianJiaotongUniversity,Xian,7100492.NanjingUniversityofAeronauticsandAstronautics,Nanjing,210016Abstract:Therelationshipbetweenthevolumeofworkingchambersandrotatinganglesistheba2sistodothethermodynamiccalculationfortheinternal-meshingrotarycompressor.However,itisratherdifficulttoobtainthecorrespondingcalculatingequationsandmethodsinpresent.Thelinearin2tegrationwasemployedtocalculatetheelementaryareaoftheworkingchamber,andthismethodcanbeadoptedbymorecomplexprofilesofrotors.Aswell,aconceptnamedvolumeanglewasproposedandviathisangle,therelationshipbetweenthechambervolumeandrotatinganglecouldbecoincidedwiththetraditionaldesignhabitofthereciprocatingcompressor.Thecalculatingmethodofthesweptvolumeanddeadvolumeisalsoderivedwhentheinnerandouterrotorarethedrivingrotorrespectively.Keywords:internal-meshing;rotarycompressor;workingchamber;volume;rotatingangle;areaofelement:20070609:(50306017);863(2006AA11A1B8)0[1],[2][3],,,,,,,,,,(perfectmodificationofprofile,PMP),,,1,,,Z1Z2,Z2=Z1+1,Z2,,Z2,,1,OiOo,o,i,,i=oZ1/Z2M1M24091191620088,6,L1L2L3L4L5L6,6,o1,,,,,,,S,L[4],S=(5Y5x-5X5y)dS=+L(Xdy+Ydx)(1)X=x,Y=0,(1)S=dxdy=-+Lxdy=-Lxdy=-L4xdy+-L2xdy+-L3xdy+-L4xdy+-L5xdy+-L6xdy(2)L,,,1,,,,e,2Z2(j-1)/Z1j,:xy=M(o+)xo+rcosyo+rsin+e0(3)M(o+)=cos(o+)-sin(o+)sin(o+)cos(o+)(4),M(o+);(x0,y0)r(3),dxdy=-rsin(o++)drcos(o++)d(5)S=21xdy=r2sin[2(o++)]4+rsin(o++)[x0cos(o+)+e-y0sin(o+)]+r2[(o++)221(6),12x0y0r12,(3),(6)(3)y[5]:xiyi=M(i)Rcost+ecos(Z2t)-a[Rcost+eZ2cos(Z2t)][R2+2eZ2Rcos(Z1t)+e2Z22]12Rsint+esin(Z2t)-a[Rsint+eZ2sin(Z2t)][R2+2eZ2Rcos(Z1t)+e2Z22]12(7),t;a;R(7),dxidyi=M(i){-a[A-eRZ2cos(Z1t)]-aeRZ22cos(Z1t)+A32}BA32dt{Rcost+eZ2cos(Z2t)-a[Rcost+eZ22cos(Z2t)]-aeRZ1Z2sin(Z1t)BA32}dt(8)A=R2+e2Z22+2eRZ2cos(Z1t)B=Rsint+eZ2sin(Z2t)(9)t1t2,ySi=t2t1xidyi(10)(7)(8),(10),,,509116,y:L1M1M2,(10),t1=tm,1,t2=tm,2,,tm,1tm,2M1M2,m,1212,[5],L1yS1,1(10)L2,(3),=,=0,x0=R,y0=0,r=a,1=m,1,2=max,m,1maxyS2,1(6)L3,,=,=0,r=r4,r4,1=max,2=min,x0=[R2+(R3-r4)2-(a+r4)2]/(2R),y0={(R3-r4)2-[R2-(a+r4)2+(R3-r4)2]2/(4R2)}12,R3,(6)yS3,1L4,,=,=0,x0=R,y0=0,r=R3,1=min,2=max,minmax,(6)yS4,1L5,,=2/Z2rad,yS5,1L6,L2,,=2/Z2,1=min,2=m,2yS6,1(6),(6)[5],oS1=S1,1+S2,1+S3,1+S4,1+S5,1+S6,1(11),,,S3,1S4,1S5,1,,o,S3,1S4,1S5,1,,,,(6)(10)o,j,o,j=o+j(12)j=2(j-1)/Z2j=1,2,,Z22,2,,2rad,2Z2/Z1rad,,(a)(b)2,,[5]o,max=2-/Z2(13)o,min=Z1/Z2(14)i,max=2Z2/Z1-Z1(15)i,minvolume=(16)2a,o=0,o,2b,i=0,,,,d,6091191620088/Z2rad,,3,d=0,o:d=o-o,maxvolume+2=o+/Z2(17)34,2ad,max=0(18)d,min=(19)43,,jVj=SjH(20),H(),,,,,,,,,5,,,Z2,,,2/Z1rad,2/Z2rad(a)(b)5,,,Z1;,Z2,(1)Vs=Z1Vmax(21)V0=Z1Vmin(22),VmaxVmin(2)Vs=Z2Vmax(23)V0=Z2Vmin4(1),,,(2),,,(3),,:[1].NB[J].,1999(2):32235.[2],,,.¨ÍŃ©:,72310686[P].1995211228.[3]HansonDE.GerotorVaccumPump:US,4519755[P].1984201223.[4].[M].:7091,1984.[5],.[J].,2001,35(11):119321197.():,,19741,30,,1972,,1963,,1968,,200240:,,,30,:;;;:TH161:1004132X(2008)16190804CuttingForceInducedErrorSynthesisModelingofa3-axisCNCMillingMachineWuHaoYangJianguoZhangHongtaoGuoQianjianShanghaiJiaoTongUniversity,Shanghai,200240Abstract:Theerrorsynthesismodelofthecuttingforceinducederrorsofa3-axisCNCmillingmachinewasobtainedbyuseofthehomogeneouscoordinatetransformationmethod.Firstlytherec2ognitionofthecomponentsofthecuttingforceinducederrorsofathree-axisCNCmillingmachinewasfinishedbasedontheanalysisofthestructure.Secondlythecoordinatesweresetuponthemove2mentcomponentsandthehomogeneouscoordinatetransformationmatrixeswerededucedbetweenthetwoconnectivemovementcomponents.Lastlytheerrorsynthesismodelofthecuttingforceinducederrorswasworkedoutbecausethecuttingpointofthecutterandthepointtobecutoftheworkpiecehavethesamespaceposition.Themodelwhichincludes30cuttingforceinducederrorelementscanbeusedtocalculatethecompensationvalue.Keywords:cuttingforceinducederror;homogeneouscoordinatetransformation;modeling;CNCmillingmachine0(),,[1,2],,[325],[6,7],:20070716:(200131);(04-5-1),,,[7,8],,1,XYZ,,308091191620088