数控机床误差补偿技术研究

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©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(3)R&M&S,R&M&S,R&M&S,R&M&SR&M&SR&M&S2010R&M&S:R&M&S;R&M&S;;;CALSR&M&S;R&M&S(),1935(100083),6,401000833,9,21;,,,TG659TP202,[1],[2,3],[4],,,11.1[5],3(PD9521910):19980727,,BkBj:,,OkOk(1),qkBjOjBkOk1,qek,skBkBj,sek,,3,,841998912©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=qk+qek+sk+sek(1){OjOk}R=[SOJ]{qk+qek}Rj+[SOK]{sk+sek}Rk(2),{OjOk}R;{qk+qek}RjRj,;[SOJ]Bj;[SOK]Bk[SJK]=[SJK][SKK](3),[SJK]BkRj;[SJK]RkRj;[SKK]BkRk,[SKK]=I,[SJK]=[SJK],BkBj,[SJK]=cosBkcosCk-cosBksinCksinBkcosAksinCk+sinAksinBkcosCkcosAkcosCk-sinAksinBksinCk-sinAkcosBksinAksinCk-cosAksinBkcosCkcosAksinBksinCk+sinAkcosCkcosAkcosBk(4),AkBkCkBkBj,[SKK]AekBekCek,cosA1,sinAA,[SKK]=1-CekBekCek1-Aek-BekAek1(5),{OOk}R=6ut=0{[SOS]{qv+qev}RS+[SOV]{sv+sev}Rv}(6),[SOS]Rs;[SOV]RvV=vLt(K)S=Lt+1(K)Lu(K)=1A{OA}R=6ut=0{[SOS]{qv+qev}RS+[SOV]{sv+sev}Rv}+[SOK]{OkA}Rk(7),[SOK]Bk1.21.2.1,332X,XYZ2DX(X)DY(X)DZ(X);XYZEX(X)EY(X)EZ(X)6X,18XYZ3EXY,EXZ,EYZ,,21(1)121XYZXYZXDX(X)DY(X)DZ(X)EX(X)EY(X)EZ(X)X,YEXYYDX(Y)DY(Y)DZ(Y)EX(Y)EY(Y)EZ(Y)Y,ZEYZZDX(Z)DY(Z)DZ(Z)EX(Z)EY(Z)EZ(Z)Z,XEZX1.2.233B1.B2.B3.B4.(),,B1B2B3B4(1){q1}=[0,0,0]T{q2}=[0,0,0]T{q3}=[0,0,0]T{q4}=[q4X,q4Y,q4Z]T(8)94©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(2){s1}=[0,0,0]T{s2}=[0,Y,0]T{se2}=[DX(Y),DY(Y),DZ(Y)]T{s3}=[X,0,0]T{se3}=[DX(X),DY(X),DZ(X)]T{s4}=[0,0,Z]T{se4}=[DX(Z),DY(Z),DZ(Z)]T(9)(3)[S22]=1-EZ(Y)EY(Y)EZ(Y)1EX(Y)-EY(Y)EX(Y)1[S23]=1-EXY0EXY10001[S33]=1-EZ(X)EY(X)EZ(X)1-EX(X)-EY(X)EX(X)1[S14]=10EXZ01-EYZ-EXZEYZ1[S44]=1-EZ(Z)EY(Z)EZ(Z)1-EX(Z)-EY(Z)EX(Z)1(10)(4)R4R3{qT}R4=[0,0,-L]T{qW}R3=[qWX,qWY,qWZ]T,L(7),{pT}R=6ut=0{[SOS]{qv+qev}RS}+[SOV]{sv+sev}Rv}+[SO4]{qT}R4(11){pW}R=6ut=0{[SOS]{qv+qev}RS}+[SOV]{sv+sev}Rv}+[SO3]{qW}R3(12){E}R={pT}R-{pW}R(13)(8)(10)(14),21,(14)221,,{E}R=DX(Z)+ZEXZ-L(EY(Z)+EXZ)-DX(Y)-DX(X)-(Yp+qWY)(EXY+EZ(X)+EZ(Y))-(Zp+qWZ)(EY(X)+EY(Y))DY(Z)-ZEYZ+L(EX(Z)+EYZ)-DY(Y)-DY(X)-X(EXY+EZ(Y))+(Xp+qWX)(EXY+EZ(Y)+EZ(X))+(Zp+qWZ)(EX(Y)+EX(X))DZ(Z)-DZ(Y)-DZ(X)+XEY(Y)-(Xp+qWX)(EY(Y)+EY(X))+(Yp+qWY)(EX(Y)+EX(X))(14)221492.1223X(413)Y3(46);Z3(79);XY6(1015);ZX4(1619);YZ3(2022)222122,,,,,,2.214XYZ(5)3(19),XY2(1011),ZX2(1213),YZ(14)4225141921,,,2.39051998912©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(6)A(Xi,Yi,Zi),i=123,X,$Xi(X)1,YZ$Y1(X)$Z1(X)2,Y$Y2(X)2$Xi(X)=DX(X)-EZ(X)Yi+EY(X)Zii=1,2,3$Yi(X)=DY(X)-EX(X)Zi+EZ(X)Xii=1,2$Z1(X)=DZ(X)-EY(X)X1+EX(X)Y1(15),{$(X)}=[$X1(X)$Y1(X)$Z1(X)$X2(X)$Y2(X)$X3(X)]T{DX}=[DX(X)DY(X)DZ(X)EX(X)EY(X)EZ(X)]T{$(X)}=[EX]{DX}(16)[EX]=1000Z1-Y1010-Z10X1001Y1-X101000Z2-Y2010-Z20X21000Z3-Y3(17){DX}=[EX]-1{$(X)}(18),[Ex],,(DX(X),DY(X),DZ(X),EX(X),EY(X),EZ(X)),YZ12DX(Y),DY(Y),DZ(Y),EX(Y),EY(Y),EZ(Y),DX(Z),DY(Z),DZ(Z),EX(Z),EY(Z),EZ(Z),3,7697H1H212,12E12=H2-H1(19)E120,90,XYZHXHYHZXYZEXYEYZEXZ,9,,,9213,,,,,,,,,,,;,,,,4HP,88(a)X(b)X9(9),,215©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(mm)(mm)(Lm)(mm)(mm)(Lm)(à)X180.000179.9960-4.0179.990179.99050.587.5Y180.000180.017517.5179.990179.99707.060D242.400242.40707.0242.000241.9945-5.521.4a210.400210.40606.0210.000210.0011.083.0b114.400114.3940-6.0114.000113.999-1.083.3,,,,,,,,1ChenJS,YuanJ,NiJ.CompensationofNon2RigidBodyKinematicEffectofaMachiningCenter.Trans2actionofNAMRI,1992.2KiridenaVSB,FerreiraPM.ParameterEstimationandModelVerificationofFirstOrderQuasistaticEr2rorModelforThree2AxisMachiningCenters.Int.J.Mach.ToolsManufact,1994,34(1):1011253KnappW.TestoftheThreeDimensionalUncertain2tyofMachineToolsandMeasuringMachinesanditsRelationtotheMachineErrors.AnnalsoftheCIRP,1980,30:4594644KiridenaVSB,FerreiraPM.KinematicModelingofQuasistaticErrorsofThree2AxisMachiningCenters.Int,J.Mach.ToolsManufact,1994,34(1):851005RL,.().:,1987ö1991.,1930(300072)13,3,16,1003000723,,,CNCCNCTP391(MIM)(RPM),,,ö,,()(),3(59675071):19980402,RPM,,RPM,RPMRPM,,,RPM251998912©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(NavalAcademyofEngineering,Wuhan,China)LuoYunp30233Abstract:Thispaperintroducesthemethodandresultinthedevelopingworkofcostcalcu2latingmodelinthestudyofcomputeraidedlevelofrepairanalysis(LORA).Asasystematicmethodforcoststudying,itmaybeusedinsim2ilarwork.ThedevelopedcostcalculatingmodelforLORApossessesadefinitelypracticality.Keywords:logisticsupportanalysislev2elofrepairanalysislifecyclecostingcostmodelTheModelingStudyforFunctionalCheckofMechanicalWearProcessJiaXisheng(Sal2fordUniversity,UK)A.HChristerM.A.JSmithp34237Abstract:InRCManalysis,itistheusualdecisiontoselectafunctionalchecktasktopre2ventthefailureconsequencecausedbymechani2calwear.Thefollowingparametersmustbemeasurableanddeterminedtocarryoutafunc2tionalcheckforamechanicalwearprocess.(1)Thepotentialfailurestate(orspecifiedwearthreshold),ifpotentialfailurestate

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