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ONOPTIMUMDESIGNOFTHESHEARERDRUM1DEPTOFAUTOMOBILEANDTARAFFICENGINEERING,SICHUANUNIVERSITYOFSCIENCEANDTECHNOLOGYCHENGDU6100392DEPARMENTOFMININGMECHANICALENGINEERING,CUMT,XUZHOU221008ABSTRACTONTHEBASISOFTHEMODELEXPERIMENTS,ASOFTWAREFOROPTIMUMDESIGNOFTHESHEARERDRUMHASBEENDEVELOPED,ANDTHEMAINPARAMETERSOFASHEARERDRMUALSOHAVEBEENOPTIMIZEDTHECOMBINATIONOFTHETECHNIQUESOFOPTIMIZATIONWITHTHEMODELEXPERIMENTMAKESTHEDESIGNINGANDTHEORETICALSYSTEMSOFTHESHEARERDRUMMOREPERFECTKEYWORDSSHEARERDRUMMODELEXPERIMENTOPTIMUMDESIGNTHESHEARERDRUMSSERVEASAMAINTYPEOFOPERATINGMECHANISMOFTHEMODERNCOALGETTINGMACHINES,THISPAPERDEALSWITHTHECOMBINATIONOFTHETECHNIQUESOFOPTIMIZATIONANDTHEMODELEXPERIMENT,WHICHMAKESTHEDESIGNINGANDTHEORETICALSYSTEMSOFSHEARERDRUMSMOREPERFECT,ANDTHEDESIGNMOREQUALITY1MODELEXPERIMENTOFTHESHEARERDRUMSTHEPARAMETERS,RELEVANTTOTHECUTTINGPROCESSOFTHESHEARERDRUM,ANDDEALTWITHINTHISPAPER,ARESHOWNINTAB1THISMODELFACTOROFLENGTHIS14THEESSENTIALTRANSFORMATIONSHAVEBEENTAKENINORDERTOPUTTHEINDEPENDENTPARAMETERSJUSTINTHECORRESPONDINGINDEPENDENTTERMSINOURMODELEXPERIMENTTHEREARESIXINDEPENDENTTERMS1WR/B,2D/W,3S/W,4VT/W,5BY/W,2BN/WWHERE,TISTIME,STHEMEANINGSOFOTHERSYMBOLSARESHOWNINTAB1INORDERTOCOMPREHENSIVELYLOOKATTHERELATIONSHIPSBETWEENPARAMETERS,ALLTHEEXPERIMENTSARELAIDOUTASINTAB2THEDATUMVALUE1I1TO6FOREVERYTERM,ANDINADDITIONTHESECONDDATUMVALUES/1AND/2FOR1FOR2TERMSRESPECTIVELYAREAPPOINTEDASAGENERALINDEXOFDRUMEFFICIENCY,THESPECIFICENERGYHMJ/M3MAYBECALCULATEDBYTHEFOLLWINGEQUATIONHM/DWVNM/30DWV,1WHERE,ISDRUMSPEED,RAD/STHEMEANINGSOFTHERESTSYMBOLSAREGIVENINTABLE1THERELATIONSHIPSBETWEENSPECIFICENERGYANDINDEPENDENTPARAMETERSARESHOWNINFIG1TABLE1PARAMETERSOFSHEARERDRUMRELEVANTTOCUTTINGPROCESSPARAMETERLMTMIDELVALUEOFDIMENSIONFACTORINDEPENDENTINDEPENDENTDEPENDENTCONSTRUCTIONALMOTIVEMECHANICALPERFORMANCEINDEXDIAMETEROFDRUMD/MMWIDTHOFDRUMW/MMNUMBEROFVANESTARTSYPICKDENSITYNTOOLSPACINGS/MMWIDTHOFCUTTINGEDGEB/MMDRUMSPEEDN/RMIN1FEEDSPEEDV/MMIN1COMPRESSIVESTRENGTHOFCUTMATERIALR1MPAFORCESONDRUMFX,FY,FZ/NTORQUEONDRUMM/NMSPECIFICENERGYH/MJM3LOADFLUCTUATION/LLLLLT1ML1T2MLT2ML2T2ML1T2141411111414211214164125614300,400,5001402,3,41,2,3,410,15,20660902000175152503,048,05053,057,117THENUMBERINTHEPARENTHESESISDATUMVALUETHEPICKDENSITYMEANSTHENUMBEROFPICKSARRANGEDPERCUTTINGLINETABLE2THEPROCEDUREOFEXPERIMENTSCONDITIONOFEXPERIMENGSTEPSVARIABLEDATUMSUPPLEMENTARY1ST123456,2ND23456,LAST1,FIG1RELATIONSHIPSBETWEENSPECIFICENERGYHANDINDEPENDENTPARAMETERSACOMPRESSIVESTRENGTHOFCUTMATERIALRBDIAMETEROFDRUMDCNUMBEROFUANESTARTSYDPICKDENSYTYNETOOLSPACINGSFMAXIMUMTHICKNESSOFSPLINTERHMAXTHEYMAYBESHOWNBYTHEFOLLOWINGFORMULASALSOHR112R0182,2HD02944103/D,3HY00794Y20438Y2298,4HN0052N2164N,5HS00424S0938,6HHMAX121078/HMAX7INGENERAL,THEOPTIMALPROPORTIONOFTOOLSPACINGTOTHEMAXIMUMTHICKNESSOFSPLINTERS/HMAXIS1TO2SEEFIG2FIG2THERELATIONSHIPBETWEENSPECIFICENERGYHANDPROPORTIONOFS/HMAX2MATHEMATICALMODELOFSHEARERDRUMTHEMATHEMATICALMODELOFSHEARERDRUMFOROPTIMUMDESIGNISASETOFFUNCTIONSOFTHEFOLLOWINGVARIBLESXX1,X2,X3,X4,X5,X6,X7D,S,V/NN,Y,N,N,8WHEREISHELICALANGLEOFVANEVANEANGLE21OBJECTIVEFUNCTIONTHEFUNCTIONOFSPECIFICENERGYMAYBESETUPASFOLLOWINGHXR5I1HXI,9WHEREFROMEQ3TO7WEHAVEHX1HD,HX2HSANDSOONTHEOPTIMUMAIMOFTHISWORKISTHATTHESPECIFICENERGYANDTHELOADFLUCTUATIONOFDRUMMAYBEDECREASEDTOTHEIRMINIMUM,THUSMINF1HX2X,10WHERE1AND2AREWEIGHTINGFACTORSTHERADIALADVANCINGRESISTANCEYI,TANGENTIALCUTTINGRESISTANCEZIANDSIDEFORCEAIACTINGONTHEPICKINNMAYBECORRESPONDINGLYGIVENBYYIKNZ0KRRSY,11ZIZ0FKRRSY,12AIZID13WHEREZ0MEANCUTTINGRESIDTANCEONTHESHARPPICKN5,6RCOMPRESSIVESTRENGTHOFTHECUTTEDMATERIAL,MPASYPROJECTIONOFTHEWORNSURFACEATPICKTIPINTHECUTTINGPLANE,MM2F038TO042FACTOROFCUTTINGRESISTANCEKN05TO07PROPORTIONALFACTORKR08TO15PROPORTIONALFACTOR,MORETHEBRITTLENESSOFMATERIALITHEANGULARDISPLACEMENTOFITHPICKFORMTHEENTRANCEOFCUTTINGREGIONSIMEANTOOLSPACINGOFITHPICKTONEIGHBOURCUTTINGLINES,MMC,D,EFACTORDECIDEDBYTHEDRUMLACINGARRANGEMENTFORPICKSWITHFLATFRONTSURFACETHEFORCESACTINGONALLPICKSDOINGCUTATTHESAMEMOMENTJWERERESOLVEDINTOCOMPONENTSALONGTHECOORDINATEDAXES,ANDTHENTHESECOMPONENTSWERESUMMARISEDINEVERYDIRECTION,WHICHARETHEHORIZONTAL,VERTICALANDAXIALFORCESACTINGONTHEDRUMRESPECTIVELYINNFXJ14FYJ15FZJ16WHERENPISTHENUMBEROFPICKSDOINGCUTATTHESAMEMOMENTTHELOADFLUCTUATIONFACTOROFSHEARERDRUMISDEFINEDASXCXXCYYCZZ17WHERECX,CY,CZWEIGHTEDFACTORSX,Y,ZFLUCTUATIONFACTORSOFFX,FYANDFZRESPECTIVELY,WHEREKWHERENKTHENUMBEROFCALCULATEDPOSITIONSPERREVOLUTIONOFDRUMFKMEANVALUEOFFORCEFKJOFTHENKPOSITIONSKX,Y,Z22CONSTRAINEDFUNCTIONS221CONSTRAINTSINCUTTINGTHROUGHTHEORETICALDERIVATIONTHEOPTIMUMTOOLSPACINGISOBTAINEDWHEN32STARTVANEWITHONEPICKCUTTINGLINESOPT18WHEN32STARTVANEWITHTHREEPICKSPERCUTTINGLINESOPT19WHEREBREAKOUTANGLEOFTHECUTGROOVELDTGLEADOFVANESCREWATPICKTIP,MMHMAX10000/NNMAXIMUMCUTTINGDEPTHOFPICK,MMTHEEXTENSIONOFTHEPICKSCONSTRAINSHMAXJUSTSOHMAXKPLP20WHERELPRIDIALEXTENSIONOFPICKS,MMKPDUTYFACTORINTHESAMETIME,THEMAXIMUMTOOLSPACINGALSOCONSTRAINSHMAX,THATHMAXSMAXB/2TG21222CONSTRAINTSINLOADINGINORDERTOKEEPCLEAROFDRUMJAM,THEDRUMSPEEDNOTBEALLOWEDLESSTHANACRITICALVALUE,THATNN1(22)WHEREDYOUTERDIAMETEROFVANE,MMDGDIAMETEROFDRUMHUB,MMANGLEOFFRICTIONBETWEENVANEANDCOALH0THICKNESSOFCOALLAYERDROPPEDONTHEGROUND,MM115TO117VOLUMELOOSENESSFACTOROFCOALZFACTOROFDRUMBRIMMINGINORDERTOLOADMATERIAL/COALOFSUITABLELUMPINESSTHEVANESPECINGMUSTNOTBELESSTHANAGIVENVALUECMIN,THEREFORESINTCMIN23WHERETTHETHICKNESSOFVANE,MMINORDERTOAVOIDTHEROTATIONOFMATERIAL/COALTOGETHERWITH/INTHEDRUM,THEPROPORTIONOFVANEHEIGHTANDVANESPACINGMUSTBEREASONABLE,THATNULL24NULLFORTHESTABILITYOFDRUMLOAD,THEWRAPANGLEOFVANESAROUNDTHEDRUMHUBMUSTNOTBELESSTHAN420,THAT25223CONSTRAINTSINCONSTRUCTIONNYNULL26NULLS/SINUMINNULL27NULLDNULL150HMINNULL28NULL056HD0625HNULL29NULLD08HNULL30NULL23MATHEMATICALMODELTHEMATHEMATICALMODELOFASHEARERDRUMFOROPTIMUMDESIGNISFOLLWINGMINFX1HX2XSTG1XXXU0G2XXLX0WHEREXUANDXLARETHEUPPERANDLOWERLIMITSOFVALUEREGIONOFDESIGNVARIABLESINEQUATION8G3NULLXNULLNULLX20X3NULLHMAXNULLG4NULLXNULLNULLX30G5NULLXNULLNULLX3KPLP0G6NULLXNULLNULLNTX70WHERE,NTISCRITICALDRUMSPEEDCALCULATEDBYEQ22G7NULLXNULLNULLX5X40G8NULLXNULLNULLCMINSINX6NULLT0WHEREDYD2LPX12LPOUTERDIAMETEROFVANEG9NULLXNULLNULLUMINX2/SINX60G10NULLXNULLNULL10G11NULLXNULLNULL0G12NULLXNULLNULL0G13X056HX10,WHENX11300G14XX1HMIN1500,WHENX11300G15XX10625H0,WHENX11300G16X08HX10,WHENX113003OPTIMUMALGORITHMANDSOFTWARETHESOFTWAREFOROPTIMUMDESIGNOFSHEARERDRUMPROVIDESAMODULARDESIGNTHEOVERALLOUTLINEOFTHISSOFTWAREISGIVENINFIG3BEGININPUTINITIALPARAMETERSCHOOSEOPTIMUMALGORITHMCALCULATEHXANDXBOUNDOPTIMIZATIONOFFXALLCRITERIABESATISFIEDCHANGPTIMUMALGORITHMORSEARHINGSTEPNTHECOMPUTERPROGRAMFOROPTIMUMDESIGNOFSHEARERDRUMWASWRITTENINFORTRANLANGUAGEINORDERTOCHECKANDVERIFY,TAKETHELXT14/46SHEARERDRUMOFMGSERIESOFSHEARERLOADERSASANEXAMPLETHEMAINPARAMETERSANDPERFORMANCEOFTHESHEARERDRUMAREGIVENINTAB3ANDTAB4TABLE3MAINPARAMETERSOFSHEARERDRUMPARAMETERINITIALOPTDRUMDIAMETER/MMVANESTARTSVANEANGLE1PICKDENSITYTOOLSPACING/MMFEEDSPEED/MMIN1DRUMSPEED/RMIN11400318253394461432219252464435TABLE4PERFORMANCEOFDRUMINDEXINITIALOPTSPECIFICENERGY/MJM3LOADFLUCTUATION/LOADINGCAPACITY/M3MIN154090381532044978030593718ENDOUTPUTOPTIMUMDESIGY4CONCLUSIONSTHEFOLLOWINGMAINCONCLUSIONSMAYBEOBTAINEDFROMTHISPAPER1THESPECIFICENERGYISDECIDEDBYALOTOFFACTORSTHEINFLUENCESOFTHECHARACTERISTICOFCUTTEDMATERIALANDTHEPICKDENSITYAREMORETHANOTHERS2UNDERTHECONDITIONOFMIDDLE2THICKSEAMS,THETHREESTARTVANEWITHTHREEPICKSPERLINEPATTERNISSUITABLEFORCUTTINGSOFTCOALWITHLARGEADVANCE,ANDTHETHREE/TWOSTARTVANEWITHONEPICKPERLINEPATTERNISSUITABLEFORCUTTINGHARDCOALWITHSMALLADVANCETHETWOSTARTVANEWITHTWOPICKSPERLINEPATTERNHASAFINESYNTHETICPERFORMANCE3THEDRUMLACINGARRANGEMENTPROVIDESAGREATINFLUENCEONOPERATIONINGENERAL,THECHECKEREDARRANGEMENTGIVESAGREATLUMP2COALRATE,LOWERSPECIFICENERGYANDLOWERLOADFLUCTUATION4THEARRANGEMENTOFPICKSONTHEPERIPHERYOFDRUM,ANDESPECIALLYOFTHEEND2PLATE,GREATLYINFLUENCESTHELOADFLUCTUATION5THEREISADEFINITERELATIONSHIPBETWEENTHEOPTIMUMTOOLSPACINGANDTHEMAXIMUMTHICKNESSOFSPLINTERHMAXANDTHELEADOFHELICALVANES6THEREASONABLEVANEANGLEIS18TO23IFITISALLOWABLEOFTHECONSTRUCTION,THESMALLERVALUEISPREFERRED7THISPAPERDEALSWITHDIFFERENTFACTORSCOMPREHENSIVELYTHEREISORIGINALINTHERESEARCHAPPROACHANDSOMEIMPORTANTRESULTSAREOBTAINEDBUTITISSTILLWAITEDTOBEIMPROVEDANDVERIFIEDINTHEFUTUREPRACTICE采煤机的滚筒优化设计1选自四川工业学院汽车与交通工程系学报成都6100392选自中国矿业大学学报徐州221008摘要基于模型试验原理,作者对采煤滚筒参数进行了优化,并开发了用于采煤机滚筒优化设计的软件。将模型试验与优化理论结合,使采煤滚筒的分析、设计更为有效。关键词采煤滚筒;模型试验;优化设计采煤滚筒作为现代采煤机器中的主要的操作机械,这篇文章谈到了模型试验与优化理论的结合,这一结合使采煤滚筒的设计与分析更加有效,这一设计的质量也更高。1采煤滚筒的模型试验这篇文章中谈到的与采煤机截割过程相关的参数在表1中列出。这种模型的长度比例因子是41。已采取必要的变革措施为了让独立参数与相应的独立关系一致。在我们的模型试验中有六个独立的关系。1WR/B,2D/W,3S/W,4VT/W,5BY/W,6BN/W这里T是时间,单位是S。其他符号的意义在表1中说明。圆括号里的数字是基础值截齿密度意味着每个切割线截齿排列的数表1与截割过程相关的采煤机滚筒的参数参数LMT比例独立值量纲因子独立非独立结构发动机械性能指数滚筒直径D/MM滚筒宽度W/MM螺旋叶片Y截齿密度N刀具间隔S/MM切刃宽度B/MM滚筒速度N/RMIN进给速度V/MMIN1切物抗压强度R1/MPA滚筒势力FX,FY,FZ/N滚筒转矩M/NM比能H/MJ/M3负载波动/LLLLLT1ML1T2MLT2ML2T2ML1T21414111114142112141641256143003,400,5001402,3,41,2,3,410,15,20660902000117515125013,0148,0150153,0157,1117为了全面的看参数之间的关系,所有的实验安排如表2所示。表2实验程序实验条件步骤变量数据追加第一步123456,第二步23456,最后一步1,每个关系式中1I1,2,36数值,另外第二个数值/1和/2分别对应1和2关系式。大体上说采煤机滚筒的效率指数,比能H用下面的方程式计算。H1这里,是滚筒的速度,单位是RAD/S。别的参数意义如表1所示。比能与独立参数之间的关系如图1所示。图1比能与独立变量的关系。A原截割物质的抗压强度RB滚筒直径DC螺旋叶片数YD截齿密度NE刀具间隔SF碎片的最大厚度HMAX他们之间的关系也可以从下面的公式中看出来。HR112R0182,2HD0294403/D,3HY00794Y20438Y2298,4HN0052N2164N,5HS00424S0938,6HHMAX121078/HMAX7通常说,刀具间隔与碎片最大厚度S/HMAX的最佳比例是12。如图2所示。图2碎片的最大厚度与刀具间隔的比例2采煤机滚筒的数学模型采煤机滚筒优化设计的数学模型是下面变量的一组函数。XX1,X2,X3,X4,X5,X6,X7D,S,V/NN,Y,N,N,8这里是叶片的螺纹角度。21目标函数比能函数可以如下建立HXR9从方程(3)到(7)中我们知道HX1HD,HX2HS等。这项工作的最优目标是比能和滚筒负载波动可以减少到他们的最小值。MINF1HX2X,10这里的1和2是权重因数。作用在截齿的径向推进阻力、切向剪切阻力和侧向力相应的给出。YIKNZ0KRRSY,11ZIZ0FKRRSY,12AIZID13这里,Z0是指截齿尖头的剪切阻力,R指被切物质的抗压强度,SY指截平面上截齿顶部磨损表面突出的部分的面积,F038到042是切阻力因数,KN05到07比例因数,KR08到15是比例因子,尤其是材料的脆度,I是指截齿形成切割入口范围的角位移,SI是指截齿与挨着的切割线的刀具间隔,C,D,E因数由带有平正面的的滚筒截齿决定。同一时刻作用在所有截齿上的力,被分解成沿坐标轴方向的分力,这些分力概括地从各个方向例如水平、垂直和轴向不同的方向分别作用于滚筒。FXJ14FYJ15FZJ16这里NP是同时作用的截齿的数。采煤机滚筒的负载波动因数是这样定义的XCXXCYYCZZ17这里CX,CY,CZ是加权系数,X,Y,Z分别对应FX,FY,FZ的波动因数。这里K,KX,Y,ZNK是指估算的每个滚筒运行位置数值。/FK指在NK点FK的指(KX,Y,Z)。22约束函数221切割中的约束条件通过理论推导最佳的刀具间隔已经获得。当三头螺旋叶片带有一个截齿切割线时SOPT18当三头螺旋叶片带有三个截齿切割线时SOPT19指开槽的超越角度,LDTG指叶片螺纹导程,HMAX10000/NN截齿的最大切削深度。截齿的开口约束HMAX,HMAXKPLP20这里的LP指截齿的半径范围,KP指的工作系数。同时最大的刀具间隔也约束HMAX,HMAX21222装载中的约束条件为了避免滚筒堵塞,滚筒的速度不得小于临界值,也就是说NN1(22)这里DY是叶片的外直径;DG是滚筒的中心直径;是叶片与煤块之间的摩擦角;H0地上煤层的厚度;15到17,指煤层的体积松动因数;Z溢出的因数。为了装入物质(块状的煤),叶片的入口不可以小于给定值CMIN,因此SINTCMIN23这里的T指叶片的厚度。为了避免物质煤在滚筒内旋转,叶片高度和叶片间隔的比例要合理,NULL24NULL为了滚筒负荷的稳定,滚筒中心周围叶片的包角不可以小于420,25223结构中的约束条NYNULL26NULLS/SINUMINNULL27NULLDNULL150HMINNULL28NULL056HD0625HNULL29NULLD08HNULL30NULL23数学模型采煤机滚筒的优化设计的数学模型如下MINFNULLXNULLNULL1HNULLXNULLNULL2NULLXNULLSTG1NULLXNUL

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