文档介绍：该【外文翻译--采场底板岩层应力的分析模型及应用 】是由【kuailonggua】上传分享，文档一共【21】页，该文档可以免费在线阅读，需要了解更多关于【外文翻译--采场底板岩层应力的分析模型及应用 】的内容，可以使用淘豆网的站内搜索功能，选择自己适合的文档，以下文字是截取该文章内的部分文字，如需要获得完整电子版，请下载此文档到您的设备，方便您编辑和打印。第2页英文原文:AnalyticalmodelandapplicationofstressdistributiononminingcoalfloorZHUShu-yun1,JIANZhen-quan1,HOUHong-liang2,XIAOWei-guo1,YAOPu11SchoolofResourcesandEarthScience,ChinaUniversityofMining&Technology,Xuzhou,Jiangsu221008,China2DepartmentofPreventionandTreatmentforCoalMineWater,ZhengzhouCoalGroupLtdCo,Xinmi,Henan452371,ChinaAbstract:Giventheanalysisofundergroundpressure,:-strainandpermeability-:model;coalfloor;stressdistribution;analysis1IntroductionWiththedevelopmentofcoalseammining, bringonfloordeformation,displacementandpossibledestructiontoattainanewbalance[1].Astudyofthelawofstressdistributionoffloorshasimportant,,thestudyofthelawofstressdistributionoffloorsmostlyproceedsfromanumberofcalculationsbasedonfiniteelementanalysesandsimilarmaterialtests[2-6].Inthispaper,binedwithactualdataofaparticularsite. 第2页2FundamentalprincipleTheformulasofstressdistributionarederivedfromthesuperpositionprinciple,giventhetheoryofelasticityondistributedloadsonasemi-infiniteplane[7-8].TheverticaldistributionloadofABonasemi-infiniteplaneisassumedtobeq(x),-infiniteplane,(x,z),themicro-1engthdζfromtheoriginofcoordinateisζontheABsegment,themicro-concentrationforcedp=qdζisregardedasitsforceandthestateofstressofthemicro-=-2qdζπz3[x-ζ2+z2]2dσx=-2qdζπzx-ζ2[x-ζ2+z2]2(1)InordertocalculatethestressatpointMfromalldistributedloads,thestresswhichiscausedbyeverymicro-.(1)fromζ=-atoζ=bandEq.(1)es: 第3页σz=-2π-abqz3dζ[x-ζ2+z2]2σx=-2π-abqzx-ζ2dζ[x-ζ2+z2]2(2),themechanicalmodelofsupportingpressureinfrontoftheworkingfacecanbesimplified,[9-11].WheretheOAsegmentistheplasticarea,withalengthofx0;theABsegmentistheelasticarea,withalengthofL0-(1),pz(2),withoutlosingitsrational,wecanassumethefollowingtwolinearfunctions:pz(1)=k0γHx0x(0≤x≤x0)pz(2)=-(k0-1)γHL0-x0x+(k0L0-x0)γHL0-x0x0≤x≤L0(3)Wherepz(1)isthesupportingpressureoftheplasticarea(kPa),pz(2)thesupportingpressureoftheelastic 第4页area(kPa),k0themaximumstressconcentrationcoefficient,x0thewidthoftheplasticarea(m),Htheburieddepthofthecoalfloor(m),L0thewidthoftheareaaffectedbythesupportingpressure(m)andγistheaverageweightofthevolumeoftheover-lyingstrata(kN/m3).-infiniteplane,wecanuseEq.(2)tocalculatetheverticalstressesσz(1)andσz(2)andthehorizontalstressesσx(1)andσx(2)whichareaffectedbythesupportingpressurespz(1)andpz(2).ThestressequationsatpointM(x,z)canthenbeobtainedcorrespondinglybysuperposition(thiscalculationneglectstheeffectofthetransferredloadfromthegoafandtheoverlyingstratamovementaswellastheeffectoftheinitialgroundstressbecauseitdoesnotproducesubsidiarystressatpointM;largelyweconsideredtheactionofthesupportingpressureinfrontoftheworkingface).Thecalculationsareasfollows:σz1=k0γHπx0xarctan?x-x0z-arctan?xz+zx0x-x0z2+x-x02σx1=k0γHπx0{xarctanx-x0z-arctanxz-zx0x-x0z2+x-x02-zlnx-x02+z2z2+x2}σz2=-k0-1γHπ(L0-x0){xarctanx-L0z-arctanx-x0z+zx2-xL0+z2z2+x-L02-zx2-xx0+z2z2+x-x02}+k0L0-x0γHπ(L0-x0){arctanx-L0z-arctanx-x0z+zx-L0z2+x-L02-zx-x0z2+x-x02}σx2=k0-1γHπ(L0-x0){-xarctanx-L0z-arctanx-x0z+zx2-xL0+z2z2+x-L02 第5页-zx2-xx0+z2z2+x-x02+zlnz2+x-L02z2+x-x02}+k0L0-x0γHπ(L0-x0)×{arctanx-L0z-arctanx-x0z-zx-L0z2+x-L02+zx-x0z2+x-x02}Therefore,σz=σz(1)+σz(2)(4)andσx=σx(1)+σx(2)(5).Bycoordinatetransformation(x=x-nx0(n=0,1,2,…)),xisregardedasx0inEqs.(4)and(5)andthestressvaluesofeachsectioncanbecalculated,,thestressvalues,locatedattherelativelyfixedfloorsection,(x=x0)atdifferentdepths,=x-nx0,Eqs.(4)and(5)canberepresentedasfollows:σz=k0γHπn-1arctannx0z+arctan1-nx0z-nzx0z2+nx02-k0-1γHπ(L0-x0)×{1-nx0arctanx0-nx0-L0z+arctannx0z+zx0-nx0x0-nx0-L0+z2z2+x0-nx0-L02-zn1-nx02+z2z2+nx02}+k0L0-x0γHπ(L0-x0){arctanx0-nx0-L0z-arctannx0z+zx0-nx0-L0z2+x0-nx0-L02-nzx0z2+nx02}(6)σx=k0γHπx0{x0n-1arctannx0z+arctan1-nx0z+nzx02z2+nx02-zlnnx02+z2(x0-nx0)2+x2}+k0-1γHπ(L0-x0)×{1-nx0(arctanx0-nx0-L0z+arctannx0z)+zx0-nx0x0-nx0-L0+z2z2+x0-nx0-L02-zn1-nx02+z2z2+nx02+zlnz2+xx0-nx0-L02z2+nx02}+k0L0-x0γHπ(L0-x0){arctanx0-nx0-L0z 第6页+arctannx0z-zx0-nx0-L0z2+x0-nx0-L02-nzx0z2+nx02}(7),thefollowingrelatedparametersaredetermined:k0=3,x0=5m,L0=50m,γ=25kN/m3andH=.(6)and(7),thestressdistributioncurvesareobtainedontherelativelyfixedfloorsectionx==,.,,giventhevariationofverticalstress,isrelativelylarge,.,. 第7页Accordingtotherelationshipofthevariationbetweenverticalandhorizontalstress,themultiplicationofthevariationofverticalstressanditscorrespondingcoefficientofhorizontalpressure(λ)isequaltotheincrementofhorizontalstressatthepointM[1].ThentheincrementofhorizontalstressandthehorizontalstressatthepointMcontinuestobesuperposed,:themaximumprincipalstressistheverticalstress;,thehorizontalstressislargerthantheverticalstresswithin42mwhentheworkingfaceadvances30m(fordetails,).Consideringtheeffectofthevariationinverticalstress,[12-14].=,(MPa)岩层深度σzσxσz-σxΔσzλλΔσzσ1-σ3 第9页(m)x=0mx=30mx=30mx=30mσx+λΔσz-,thestressesσx+λΔσz-σzinTable1canberegardedasthestressvaluesσ1-σ3,-,thelargeststressvalueofmudstoneσ1--,,,)Basedonthemechanicalmodelofthefloor,theanalysisofstressdistributionisobtainedontherelativelyfixedfloorpositionwithanadvancingof ,,))Thedifferencebetweenthetheoreticallycalculatedprincipalstressandtheresultsoftheservo-,,:[1]ZhangJC,ZhangYZ,:GeologicalPublishingHouse,1997.(InChinese)[2]MiaoXX,LuAH,MaoXB,,2002,12(2):120-125.[3]GongPL,HuYQ,ZhaoYS,-,2005,24(23):4396-4402.(InChinese)[4]ShiLQ,-:ChinaUniversityofMiningandTechnologyPress,2004.(InChinese) 第10页[5]JingHW,XuGA,,2001,11(2):132-137.[6]LiuYD,ZhangDS,WangIiS,-coalcavingunderhard-and-,2006,16(2):110-114.[7]DunZL,:ChinaCoalIndustryPublishingHouse,2003.(InChinese)[8]:HigherEducationPress,2002.(InChinese)[9]LiuWQ,,2006,16(3):245-248.[10]:ChinaCoalIndustryPublishingHouse,2004.(InChinese)[11]QianMG,:ChinaUniversityofMiningandTechnologyPress,2003.(InChinese)[12]XuNZ,