挖掘机工作装置设计中的复数矢量三角形法

14219986JOURNALOFTIANJININSTITUTEOFTECHNOLOGYVol.14No.2Jun.19983(300191).,.CAD.TU621ComplexNumberVectorTriangleMethodinExcavatorDesignofWorkingDeviceChenXidong(TianjinInstituteofTechnology,Tianjin,300191)AbstractThispaperintroducesthetheoryofcomplexnumbervectortrianglemethod.Bymeansofthismethod,itmakespositionanalysisandvelocityanalysisofsinglebuckethydraulicexcavator,andputsforwardusingvelocityanalysistocarryonthecalculationofexcavationforce,soprovidesaeasyandconvenientwayforCADofthiskindofmachine.Keywordscomplexnumbervectortrianglemethodpositionanalysisvelocityanalysiscalculationofexcavationforce[1],..,..,.,.1[2]1A1+A2=A3aiWi,:199720622831944,,©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.1a1ejW1+a2ejW2=a3ejW3(1),a1cosW1+a2cosW2=a3cosW3a1sinW1+a2sinW2=a3sinW36,a1a2a3W1W2W3.4.4,1.BASIC,..(1)aaejW1+ja1Wa1ejW1+aa2ejW2+ja2Wa2ejW2=aa3ejW3+ja3Wa3ejW3(3)(3)ab1ejW1+2jaa1Wa1ejW1+ja1Wb1ejW1-a1Wa21ejW1+ab2ejW2+2jaa2Wa2ejW2+ja2Wb2ejW2-a2Wa22ejW2=ab3ejW3+2jaa3Wa3ejW3+ja3Wb3ejW3-a3Wa23ejW3(4)aa,,ab,Wa,Wb,j1a1W1a2W2a3W31??1100210031002??1200220032003??1300230033004??140024003400:,?(3)(4).(2),(3)(4)..,a1,aa1ab1;W3,Wa3Wb3.,,,8.12.BASIC,110021003100,120022003200,.22[3]...,,()922:©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved..,,,..,,,.2.AB,G1G2G3,2.GDMWWEQEADAQAF,.21BACBA+AC=BC2BA,AC,BC;BAACBC2GCDGC+CD=GD1GC,CDGD3GDLGD+DL=GL2GD,DL,GL;GDGLDL4MDWMD+DW=MW1MD,DWMW5MWNMW+WN=MN2MW,WN,MN;MWWNMN6WNEWN+NE=WE1WN,NEWE7QWEQW+WE=QE1QE,WEQE8QEKQE+EK=QK2QE,EK,QK;QEEKQK9QKFQK+KF=QF1QK,KFQF10ACDAC+CD=AD1AC,CDAD11ADWAD+DW=AW1AD,DWAW12AWQAW+WQ=AQ1AW,WQAQ13AQFAQ+QF=AF1AQ,QFAF3ADAWAQAF29,FXAY.AFa3W3,F,:Fx=a3cosW3Fy=a3sinW3(5)G1G2G3,,,125F.3,.,,,.3().:P1V1=P2V2(6)P2=P1V1V2P1P2V1V2V1=1,P2=P1V2,,..,G1G2,G31.0314©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.QFXQF,QF,FVF:VF=XQFõQF(7)G2,G3,DF,FD,DLXDLDF,(7)F,.G1F.,2,,.,,,,,,,.3.31,()(9.8N)31234567891025100211251732882610016725155909211202812812078828135154271970762617314321135441-12.7807-12.55367-11.92223-10.56354-5.201276-6.361674-6.248661-5.934341-5.258048-2.588929-3.157885-3.026298-3.490395-5.096603-37.05306-3.157885-3.026297-3.490395-5.096601-37.052943581.4273737.1513240.2451895.688301.3473581.4273466.0863240.2451895.695301.35663120mm,100kgöcm24,.,.,,.111:,1986211:,1980311:,1981132:©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.