卷取机动态力矩及张力损失计算

(,201900):,,,,,:;;:TH11312+2,TG33312+4:B:1008-0716(2004)06-0055-05CalculationofDynamicTorqueandLossofStretchingForceforCoilersFUWen2zu(BaosteelEngineering&TechnologyCo.,Ltd.,Shanghai201900,China)Abstract:Coilersdynamictorqueandlossofstretchingforcehavebeenconsideredbythesteelrollingdesigner.Itmustbecalculatedexactlyespeciallyforthoseusingcomputerstocontrol.Inthispa2per,formulaofcalculationofdynamictorqueandlossofstretchingforceforcoilersisestablishedwithtwoexamples.KeyWords:Coilers;Dynamictorque;Stretchingloss1,,,(1)N=M2V/D1/102(1)(M)M=TD/2+M+Pd0/2,M=bh2/6s+b/4(h2-h12)s,T,N;,0.850.95;M,Nm;h1,h1=(sD)/E,mm;D,m;V,m/s;P,N;;d0,m;E,GPa;s,MPa;h194419685655155821610,mm;b,mm,,,1.11.2,,,(),,,[1,2],(2)(3)M1=(GD2)/375dn/dt=(GD2)/37515V2h/2r3(2)M2=n2/125d(GD2)/d=7200/2502sbrV2h(3),GD2,GD21,5520046GD22GD23,GD21GD22,GD23,,GD23=2sb(r4-r40);n,r/min;r,m;t,s;(78009.8),N/m3;s,0.850.90;r0,m;,(),(2)(3),,M21700mm1700mm:=78009.8N/m3,s=0.85,b=0.51.55m,r=0.51m,V=9.5823.6m/s,GD2=675009.8N/m2,h=0.00120.0127m(3),M2=196611Nm,V23.6m/s,,M2N=M2V/r1/102=5157kW,3702kW,,,[1,2],,,[3]:b=0.21m;r=0.350.5m;V=15m/s;h=0.0025m;GD2=1309.8N/m2,M2=7200/250278000.850.211520.00259.8=22419Nm,M2N=M2V/r1/102=1143015/0.51/(1029.80.9)=747kW,4055kW[3],,,,2(2)(3)(2),,s=2(r+r)-2r=2r,n(),V=(r+h)-r=h,(V),V=r,=2n/60,dr/dt+rd/dt=0,d/dt=2/60dn/dt,M1=GD2/37515V2h/2r3:M=60GD2/375DV/t-120hV2GD2/3752D3+V2b[D4-(D-2h)2]/100D2M=GD2/2gDdV/dt-hV2GD2/gD3+V2hDsb/4g(),,[1,2]dn/dt,n,,[1,2]M2(3),[1]dtd,,,,,0360n0360;t0n0,,NMdtd,d(GD2)/d=d(GD2)/dt,,rad[1,2]d(GD2),(GD2),GD2=GD21+GD22+2sb(r4-r40),d(GD2)/d=d(GD2)/dt=d[2sb(r4-r40)]/dtGD2,(3),GD20360,,20360,10360GD2,()0,,,3,6520046,23.1,[4](4)M=Jd/dt+2/2dJ/d(4),J,kgm2(4),(),0360,,(4),M=J/t+2/2J/(5),J,J=(GD2)/4g=2/60n,g,m/s22(5),,(6)M=GD2/375n/t+n/125(GD2)/(6)V=r,V=r+rt,V/t=r/t+r/t=2/60n,n/t=60/2rV/t-n/rr/t,n,(7):r/t=nh/60(7)(7),n=60V/D,(8)n/t=60/DV/t-120hV2/2D3(8)[1,2]dn/dt=15V2h/2r3=120V2h/2D3,:nD,,,(6)(GD2):,GD2,0360,,GD2,GD2[5],(GD2)=1/2G[D2+(D-2h)2],G=[D2-(D-2h)2]/4b,,(GD2)=b/8[D4-(D-2h)4],G,t0360,=360-0=360,GD2,(GD2)/=b/8[D4-(D-2h)4]/360=b[D4-(D-2h)4]/2880(9)(8)(9)(6),(10)M=60GD2/375DV/t-120hV2GD2/3752D3+V2b[D4-(D-2h)2]/100D2(10)3.2,,,A(11)A=1/2J2(11)dAdA=d(1/2J2)=1/2d[J(V/r)2],AVrJ3,dA/dt=9A/9VdV/dt+9A/9rdr/dt+9A/9JdJ/dt=J1/rdV/dt-J21/rdr/dt+1/22dJ/dt(),M=J/rdV/dt-J/rdr/dt+1/2dJ/dt(12)(),J=GD2/4g;r=D/2;=2V/D;dr/dt=Vh/D;GD2=/8[sb(D4-D40)];dJ/dt=1/4gd(GD2)/dt=VD2hsb/4g(12),(13)M=GD2/2gDdV/dt-hV2GD2/gD3+V2hDsb/4g(13),,4(10)(13)(10)60GD2/375DV/t,GD2/22.1DV/t(13)GD2/2gDdV/dt,GD2/19.6DdV/dt75(10)-120hV2GD2/3752D3,-hV2GD2/9.81D3(13)-hV2GD2/gD3,(10)(13),(10)V2b[D4-(D-2h)4]/100D2=23.6278001.550.859.8[24-(2-21210-4)4]/(1003.1422)=3423.62Nm,(13)V2Dhsb/4g=23.6221210-478000.851.559.8/(49.8)=3434.16Nm,,2,,,,,(13)(10),,5(10)(13)(10)(13),:(1),V,dV/dt=0,,,(2),(10)(13)0,(3)(10)(13)M=J=d/dt=d(R/V)/dt,R=r0,=dV/r0dtJ=GD2/4gM,(10)M=GD2/4gdV/r0dt=GD2/2gD0dV/dt,(13)M=GD2/2gD0dV/dt,,D0D,,(10)(13)2,,,,,,,,6,,,,,,,,6.1MT[1,2],(14)T=M/(D/2)(14)(10)(14),T=125GD2/375D2V/t-240hV2GD2/3752D4+V2b[D4-(D-2h)2]/50D3(13)(14),T=GD2/gD2dV/dt-2hV2GD2/gD4+V2hsb/2g6.2,,,,Tf=[pd0/2i]/r,p;i;,,;d0,Tf,T=Tf+T7(10)(13),2:1,(10)N=(M+GD2/39.2r0V/t)V/r1/102,(13)N=(M+GD2/2gr0dV/dt)V/r1/1022,(10)N={M-120hV2GD2/3752D3+V2b[D4-(D-2h)4]/100D2}V/r1/8520046102;(13)N=(M-hV2GD2/gD3+V2hDsb/4g)V/r1/1022,1[3],,N={-1200.00251521309.8/(37521)+15278009.80.21[14-(1-20.0025)4]/(10012)}15/0.51/(1029.80.9)=6.8kW55kW12.4%1700mm,,N={-1200.001223.62675009.8/(375223)+23.6278009.81.55[24-(2-20.0012)4]/(10022)}23.6/11/(1029.80.9)=58.6kW2370kW8%8,,1.11.2,(10)(13),1..:,1982:50522..:,1982:72783..,1983;(3):45514..:,1961:4205.(),,().:,1987:101(:2004-07-26)(46),,,,,RH,,,COCO2,,5,;,,,,,,,2%3%(:2004-06-26)95