土压平衡盾构刀盘扭矩计算及其与盾构施工参数关系研究-王洪新

42920099　　　　　CHINACIVILENGINEERINGJOURNALVol.42Sep.　　No.92009:,,:2008-02-02王洪新(,200065):,,。,。,、、。,。。:;;;;:U455.43　　:A:1000-131X(2009)-09-0109-05CalculationofcutterheadtorqueforEPBshieldandtherelationshipbetweencutterheadtorqueandshielddrivingparametersWangHongxin(ShanghaiNo.2MunicipalEngineeringCo.Ltd.,Shanghai200065,China)Abstract:FactorsinfluencingthecutterheadtorqueofEPBshieldisanalyzed,aformulaforcalculationofthecutterheadtorqueisderivedandsuggestionsareprovidedforselectionofparameters.Calculationvaluesofcutterheadtorqueforvariousprojectsarecomparedwiththemonitoringvaluescollectedfromthesitestoverifythecalculationformula.Basedontheformula,therelationshipsoftotalthrustforce,earthpressureinthechamber,cutterheadrotationspeedandadvanceratewiththetorqueareestablishedandverifiedthroughmultivariatestatisticalanalysisofthemonitoringdataofEPBshields.Keywords:EPBshield;cutterhead;torque;headapertureratio;relationshipofparametersE-mail:[e-mail]　　。,,。,。,,,。,。。、[1],、,;[2],、、,。、、,[3-4],。,,[1]。,,,,。DOI:10.15951/j.tmgcxb.2009.09.008·110　　·　　　　　20091　、。。(1)。,Tc=αD3,。,。,,。(2)。。1。,,pc。1,:1　Fig.1　SketchforcalculationofcutterheadtorqueTf=∫D20fpckθ2πr2πrdr=fpckθD324(1):f,;k,1k=3;θ,1;D。1ξ=(2π-kθ)/2π,(1):Tf=πfpc(1-ξ)D312(2),1,1,,2。,(2)。2,,。d,:2　Fig.2　FaceplatetypecutterheadTf=∫D2d2fpc2πr2dr=πfpcD3121-d3D3(3)ξ=d2/D2,,:Tf=πfpcD312(1-ξ1.5)(4),:Tf=πfpc(1-ξn)D312(5):1≤n1.5,1,1～1.5,,,n。(3)。。,p0+Δp2,p0,Δp2,[5];p0。Tf:Tf=πf(2p0+Δp2)(1-ξn)D312(6)(4)。。(5)。。。v,ω,1d:d=vω(7)()β,1β=2π/3。:dn=β2πvω(8)　42　9··111　　·3　Fig.3　Sketchofcutterbitscuttingsoil,3。p,p0,q。,p0,q:q=p0tan2(π4+φ2)+2ctan(π4+φ2)(9):c;φ。Tn:Tn=k∫D20q·dn·rdr=kp0tan2(π4+φ2)+2ctan(π4+φ2)β2πvωD28(10):k,k=2π/β。,Tn:Tn=p0tan2(π4+φ2)+2ctan(π4+φ2)D28vω(11)(11),,,。(6)。,,[1],Tm:Tm=∑nγH0DbLbRbf′(12):γ;H0;Db;Lb;Rb;f′;n。2　,:T=Tf+Tn+Tm=πf(2p0+Δp2)(1-ξn)D312+p0tan2(π4+φ2)+2ctan(π4+φ2)D28vω+∑nγH0DbLbRbf′(13):p0=K0γh;,Δp2[5]:Δp2=3.38Euπv(1-ξ)2Dkω+Δp′:Eu,Eu=(36～80)Es0.1-0.2,,、,;Δp′10～25kPa;。(13),,。3　(13),1。1　Table1　ComparisonbetweencalculationvaluesandmonitoringvaluesofcutterheadtorqueD(m)/ξ(%)H(m)c(kPa)/Υ(°)v(cm/min)/ω(rpm)T(kNm)(kNm)66.34/30146/12.54.7/0.641169121226.34/3014.9522/82/0.781148110826.34/3017.4922/86.19/0.7190220626.39/3011.8117.2/20.63.4/0.98175417237.95/4525.570/123.2/0.65499850001(13),,。,,(1/4～1/5)tanφ,;1/3tanφ。4　4.1　,。,,PF;,·112　　·　　　　　2009pΔp1,Δp1[6]。(13):T=Tf+Tn+Tm=p+Δp1+P-FπD24(1-ξ)·πf12(1-ξn)D3+(p+Δp1)tan2(π4+φ2)+2ctan(π4+φ2)·D28vω+∑nγH0DbLbRbf′(14):T=fπ(1-ξn)D312·p+f(1-ξα)D3(1-ξ)·P+Δp1D28tan2(π4+φ2)+cD24tan(π4+φ2)·vω+D28·tan2(π4+φ2)·pvω+Δp1-4FπD2(1-ξ)πf(1-ξn)D312+∑nγH0DbLbRbf′=β0+β1p+β2P+β3vω+β4pvω(15)(15)、、。,。4.2　(1),17.2kPa,20.6°,10011.402～11.324m。。10098。(15),:T=-2269.1521814.259080.1051976043.82893-334.10656·1pPvωpvω[2],F,。α=0.05,:FF0.05(4,98-4-1)=2.4696F=113.95F0.05(4,98-4-1)=2.4696,。R=0.9173,t()(),α=0.005,:tt0.005(96)=2.6280,│T│t0.005(96),,。2,2。2　(α=0.005)Table2　Statisticsandstatisticaltestresultsofregressionanalysis(α=0.005)t300.7431-11.19910.81151.671313.02510.43230.015274.4975/0.83007441.227513.9590·/-0.815436.0349-13.2122,,。4。4　Fig.4　ComparisonbetweenmonitoringandregressionvaluesofcutterheadtorqueoftheTianjinMetroshield5,:T=-3368.0530821.768490.06869103871.70459-476.0988·1pPvωpvω11.7%,0.03%,2.5%。(2)④()、⑤1-1()⑤1-2(),13.42～20.79m。。36～806687。(15),:T=1315.50438-3.373050.08813-5303.8108628.28716·1pPvωpvω　42　9··113　　·F,。R=0.7937,t。58.30%,0.09%,7.72%()。5。5　Fig.5　ComparisonbetweenmonitoringandregressionvaluesofcutterheadtorqueoftheShanghaiMetroshield5　　　,,。,、、。,,[2],。,,。[1],.[J].,2006,25(1):3137-3143(LuQiang,FuDeming.Researchontorqueofcutterheadforearthpressurebalanceshieldwithsimulatingexperimental[J].ChineseJournalofRockMechanicsandEngineering,2006,25(S1):3137-3143(inChinese))[2],,.[J].,2005,24(2):5762-5766(ZhangHoumei,WuXiuguo,ZengWeihua.StudyontunnelingexperimentandmathematicalmodelofEPBshield[J].ChineseJournalofRockMechanicsandEngineering,2005,24(S2):5762-5766(inChinese))[3],.[J].,2007,40(5):61-68(WangHongxin,FuDeming.TheoreticalandteststudiesonbalancecontrolofEPBshields[J].ChinaCivilEngineeringJournal,2007,40(5):61-68(inChinese))[4],.[J].,2006,39(9):86-90(WangHongxin,FuDeming.AmathematicalmodelandtherelatedparametersforEPBshieldtunneling[J].ChinaCivilEngineeringJournal,2006,39(9):86-90(inChinese))[5]　.[J].,2009,42(7):113-118(WangHongxin.EffectofcutterheadcompressingthefrontsoilandinfluenceofheadapertureratiooncontactpressureofEPBshieldtothefrontsoil[J].ChinaCivilEngineeringJournal,2009,42(7):113-118(inChinese))[6]　.[D].:,2009(WangHongxin.CalculationofdeviceparametersandbalancecontrolofEPBshieldinsoftsoilstrata[D].Shanghai:TongjiUniversity,2009(inChinese))　　(1973-),,,。。