700水平轧机主传动系统的设计【说明书+CAD】
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辽宁科技大学毕业设计任务书课题名称700水平轧机主传动系统的设计课题类别设计类论文类课题来源生产实际 科研实际社会实际其它来源毕业设计(论文)要求、设计参数、各阶段实践安排、应完成的主要工作等一、毕业设计要求1撰写设计说明书要求:1)绪论及设计方案的确定:方案选择正确、论证充分;2)按轧制给定钢种的轧制规程,确定参数,进行轧制力、轧制力矩的计算,进而选择主电机,进行主传动系统的设计计算;3)主要零部件强度计算(机架、轧辊、联轴器、万向接轴等);4)系统润滑、环保与经济性分析等;5)设计说明书撰写要求符合辽宁科技大学毕业设计撰写规范。2绘制工程图纸要求:总装配图1张、部件装配图1-2张、零件图3-4张。所绘图纸全部采用计算机绘图,图面质量要符合机械制图国家标准GB的规定与要求,达到工程使用标准。二、设计参数:轧制材料:20# 轧制温度:t=1000轧辊转速:21.236 r/min 轧件宽度:b0=113mm b1=121mm 轧件高度:h0=156.7mm h1=121mm 来料长度:31.7m成品规格:120x120mm三、各阶段时间安排、应完成的主要工作 第1- 2周:设计调研、收集资料(包括外文资料)、设计方案的确定论证; 第3- 6周:按轧制给定钢种的轧制规程,确定参数,进行轧制力、轧制力矩的计算,进而选择主电机等设计计算以及主要零部件强度计算第7-10周:绘制图纸(计算机绘图),包括总装配图1张、部件装配图2-3张零件图3-4张,折成A1不少于6张。 第11周:编制、打印设计说明书;图纸审查与输出; 第12周:毕业设计互审、答辩准备;答辩。 指导教师(签字):年 月 日院长(系主任)(签字):年 月 日1Vol112No12J. Iron & Steel Res. , Int.Mar. 2005Foundation item: Item Sponsored by National Natural Science Foundation of China (50175095 , 50374058)Biography : WANG Ying2rui(19742) , Male , Post2doctor ;E2mail : yingrui _ wang sina1com;Revised date : April 19 , 2004Shape Control Simulation on 42High CVC MillWANG Ying2rui1,YUAN Jian2guang1,LIU Hong2min2(1. Baoshan Iron and Steel Group Co Ltd , Shanghai 200941 , China ;2. Yanshan University , Qinhuangdao 066004 , China)Abstract : The computation model of shape and crown on 42high CVC mill was established by combining the streamsurface strip element method for analyzing three2dimensional plastic deformation of strip and the influence coefficientmethod for elastic deformation of rolls , and the simulation of the shape and crown control on 42high CVC hot stripmill was conducted. The simulated results indicate that the influence of the shifting of CVC work roll on shape andcrown is very large , and the shifting of work roll can be used to preset shape and crown. The influence of the ben2ding force of work roll on shape and crown is smaller , and it is suitable to use the bending force of work roll forshape and crown adjustment on line. With the increase of strip width , the exit crown of strip increases firstly and de2creases then , and the roll gap becomes smoother increasingly. Meanwhile , the transverse difference of front tensionstress decreases firstly and increases then.Key words : 42high CVC mill ; stream surface strip element method; shape ; crown; unit rolling pressure ; simulationShape and profile are the important quality in2dexes of rolled plate and strip , and shape control isthe key technology for plate and strip mills. The re2search on shape control has an important significancefor presetting control of shape and crown and the de2velopment of rolling technology. The shape controlof wide cold strip rolling on CVC mill was simulatedin Ref11. Because the influence of the lateral flowof metal on the form of deformation zone wasntconsidered , the three2dimensional plastic deforma2tion of strip and the shape control on CVC cold millcouldnt be analyzed accurately.The shape controlmodel of 42high hot strip continuous mills was stud2ied in Ref12 and Ref13 .The influence of thelateral flow of metal on the form of deformation zonewasnt considered either , and the distributions ofdeformation and stress along the thickness directionof strip were thought to be even , so the three2di2mensional plastic deformation of strip couldnt beanalyzed accurately , and the accurate shape controlmodel of 42high hot strip continuous mills couldntbe established. The shape control on 62high HC and62high CVC cold rolling mills was researched in Ref14 - Ref16 respectively. Due to no considerationof the change in deformation and stress along thethickness direction , they couldnt be used for hotstrip rolling or thick plate rolling.The FEM wasapplied to simulate the process of hot plate continu2ous rolling in Ref1 7 .Because the rolls werethought to be rigid , the coupling between the three2dimensional plastic deformation of plate and the e2lastic deformation of rolls couldnt be realized accu2rately , and the simulation of the rolling processcouldnt be carried out in the actual sense. In thisstudy , the stream surface strip element method8was employed to accurately analyze the three2dimen2sional deformations of strip , and the influence coef2ficient method9was used to analyze the elastic de2formations and thermal deformations of rolls. More2over , the two methods were combined to construct amathematical model of shape and crown control on42high CVC mill.The simulation of the shape andcrown control on 42high CVC hot steel strip mill wasconducted.1Theoretical Model111Three2dimensional plastic deformation of plateandstrip streamsurfacestripelementmethodThe basic assumptions of stream surface stripelement method8are :The rolling process issteadyandsymmetricalabouttheplanexoy(Fig11) . So , the following analysis and computationconsider the upper half above the symmetrical planexoyonly.The plate (strip) is rigid2plastic in rollgap and elastic outside the roll gap.The rolling deformation zone shown in Fig11 ,according to the method in Fig12 , is divided inton 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved. Fig11G raphic expression of deformation zonestream surface (curved surface) strip elements alongmetal flow direction. In Fig11 ,Ris flattened radiusof work roll ;lis length of deformation zone ;h0, h1are entry thickness and exit thickness of strip re2spectively ;bis entry width of strip ; andbis lateralspread of strip.The ordinates of nodal sections ofthe strip elements at the entry (x= 0) are expressedbyyi( i= 0 , 1 , 2 ,n) , and the ordinates atother place (x 0) are unknown. For the conven2ience of numerical analysis and computation , thestream surface strip elements under the coordinatesystemx2y2zare mapped onto the plane strip ele2ments under the coordinate system2 2 (the sidesurfaces and the lower surfaces are planes , and theupper surfaces are cylindrical surfaces) , as shown inFig13. In the deformation zone , the lateral displace2ment functionWy(,) and the altitudinal dis2placement functionWz(,) of metal are as2sumed to be :Wy(,)=f () uy(,)Wz(,)=g() uz(,)(1)From Ref110 and Ref111 , there are :f ()= 1 + 4l- 13+ 3l- 14g()= 1 -l- 12(2)whereuy(,) , uz(,) are lateral and altitudinaldisplacement functions respectively at the exit of de2formation zone (x=l) .Fig12Stream surface strip element division in deformation zoneFig13Strip element model in coordinate system62J.Iron & Steel Res. , Int.Vol112 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved. Under the mapping coordinate system , the stripelement widthbiare : bi=i-i- 1=yi-yi- 1(i= 1,2, n)(3)uy(,) anduz(,) are expressed as thethird2power spline functions along the lateral direc2tion , assumed to be the quadratic curves along thealtitudinal direction , as shown in Fig13 , and solvedby the interpolation method from the displacementson the 0 line , the 1st line and the 2nd line.Therefore , there are8:uy(,)= uy(i- 1,0)1()+uy(i,0)2()+uy,(i- 1,0) 3()+uy,( i,0)4() 0()+ uy(i- 1,1)1()+uy(i,1)2()+uy,(i- 1,1)3()+uy,(i,1)4() 1()+ uy(i- 1,2)1()+uy(i,2)2()+uy,(i- 1,2) 3()+uy,( i,2)4() 2()(4)uz(,)= uz(i- 1,1)1()+uz(i,1)2()+uz ,( i- 1,1) 3()+uz ,( i,1)4() 1()+12 h1()-h0() 2()(5)where1()=(i-)2b3i3bi- 2(i-) 2()=(-i- 1)2b3i3bi- 2(-i- 1) 3()=(i-)2b2ibi-(i-) 4()= -(-i- 1)2b2ibi-(-i- 1) (6)0()= 1 - 3h0/2+ 2h0/221()= 4h0/2-h0/222()= -h0/2+ 2h0/ 22(7)uy(i, j)=uy(i,j) ,uz(i,1)=uz(i,1) ,uy,(i, j)=5uy5 (i,j) anduz ,(i,1)=5uz5 (i,1) (i= 0,1,2, n; j= 0 , 1 , 2) are exit lateral and altitudinal dis2placements and their partial derivatives toof the nodalsections respectively;0=0,1=14h0,2=12h0.uy(,) anduz(,) satisfy the condition that the firstderivatives and the second derivatives ofuyanduztoandare continuous.uy,(i,j)anduz ,( i,1)( i= 0,1,2, n; j= 0 , 1 , 2) are determined by the re2currence method , according to the secondary bound2ary condition.Therefore , there are 4 (n+ 1) un2known parameters:uy(i, j)anduz(i,1)(i= 0,1,2,n; j= 0 , 1 , 2) .On the above basis , the three2dimensional de2formation of plate and strip can be analyzed.Based on the principle of constant volume andconclusions in Ref110 - Ref113 , the mathemati2cal models of the front tension stress1(,) andthe back tension stress0(,) can be derived as:1(,)=1+E1 -v21 -S11 -1 -v2E00S01 +5uy5 1 +5uz5 (8)0(,)=0+00(,)+E1 -v2S0Sn1 +5Wy5 1 +5Wz5 =xn- 1(9)whereS0, S1are area of exit cross section and entrycross section respectively ;Sn,xnare area and longi2tudinal coordinate of neutral plane , respectively ;1,0are average front and back tension stresses , re2spectively ;Eis elastic modulus of plate (strip) ;visPoisson coefficient of plate (strip) ;00is longitudi2nal residual stress and can be expressed in terms of apolynomial function. When the shape of the entryplate (strip) is good ,00(,) = 0.From the plastic flow equation of Levy2Mises ,the yield condition of Von2Mises and the principle ofconstant volume , the three2dimensional stress mod2els in the deformation zone are solved.From the differential equilibrium equations ,5x5x+5xy5y+5xz5z= 05xy5x+5y5y+5yz5z= 05xz5x+5yz5y+5z5z= 0(10)The stress boundary conditions at the entry andthe exit of the deformation zone , and the stressboundary condition14at the interface are :p= -n= -(xx+xyy+xyz)x-(xyx+yy+yzz)y-(xzx+yzy+zz)z(11)wherex,y,z,xy,yzandxzare normal stressand shearing stress in the directionsx , yandz, re2spectively ;nis normal stress on the interface ;x,yandzare cosines of the exterior normal of the in2terface at three directions. The unit rolling pressurepin the deformation zone can be calculated using afinite difference method.112Elastic deformation of rolls influence coeffi2cient methodIn the range of backup roll body length , the rollbody is divided intomsegments with every width ofyiand central ordinate ofyi( i= 1,2,3, m).72No12Shape Control Simulation on 42High CVC Mill 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved. The loading diagram and the segment dividing dia2gram of rolls are shown in Fig14 and Fig15.InFig14 ,is rightward shifting distance of the upperwork roll , and 0 is for concave roll gap , while 0 is for convex roll gap.p1( y) is unit width roll2ing pressure ;q( y) is contact pressure between workroll and backup roll ;Fw,Fbare bending forces ofwork roll and backup roll , respectively ;Fsl,Fsraresupport2counter forces at left and right press downsupport points respectively. The coordinate origin ofthe whole coordinate system is just below the leftpress support point , namely the altitudinal axis (zaxis) overpasses the left press down support point.The axis displacements of backup roll and workroll are expressed as:fbi=mj= 1abijyjqj-aFbiFb(12)fwi=mj= 1awijyj( p1j-qj)-aFwiFw+C1+( C2-C1)Lw(yi-C)(13)The elastic flattening between work roll andbackup roll ,wbi, is calculated using the half planebody model , as follows: wbi=iqi(14)Fig14Loading diagram of rolls of 42high CVC millFig15Segment dividing diagram of rolls of 42high CVC millThe elastic flattening of work roll betweenwork roll and plate (strip) ,wi, is calculated usingthe half space body model , as follows: wi=mj= 1ijp1j(15)The deformation compatibility equation betweenwork roll and backup roll is :fwi=fbi+wbi+12(Dwi+Dbi)(16)The crown calculation model of work roll is: Dwi=Dw0i+Dwti(17)The thermal crown calculation model of workroll12is: Dwti=Dwtyi-ym1Lw/ 22(18) The transverse distribution ofrolled plate(strip) thickness is :h1i=s0+fwi+fw(m-i)+wi+w(m-i)+12(Dwi+Dw(m-i)+fKbbi(19)wherei , jare subsegment labels of roll ,i , j= 1,2,3, m; awij,abijare deflection influence coeffi2cients of work roll and backup roll respectively , andexpress the deflection at the pointyicaused by theunit force acting at the pointyj;aFwi, aFbiare influ2ence coefficients of bending forces of work roll andbackup roll respectively , and express the deflectionat the pointyicaused by the unit bending roll force ;C1, C2are axis displacements of the left and rightend of work roll body respectively ;Cis distance be2tween the left press down support point and the leftend of work roll body ;fw,fbare axis deflections ofwork roll and backup roll respectively ;,wbareflattening coefficient and flattening quantity betweenwork roll and backup roll , respectively ;,wareflattening coefficient and flattening quantity of workroll between work roll and plate (strip) , respective2ly ;Dw,Dbare crowns of work roll and backuproll respectively ;Dw0,Dwtare initial crown andthermal crown of work roll respectively ;fKbbis rigid2ity displacement sum of upper and lower work rolls ,and depends on the elastic deformation of frame andother loaded parts;s0is initial roll gap.Equations from Eqn1(12) to Eqn1(14) are sub2stituted into Eqn1(16) , and the equation group ofmequations is formed. Meanwhile , the equilibrium e2quations of force and moment of work roll are addedagain , so the sum of equation is (m+ 2) . In the e2quation group , there are (m+ 2) unknown numbersqi( i= 1,2,3, m) ,C1andC2, so it can be82J.Iron & Steel Res. , Int.Vol112 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved. solved. Eqn1(15) and Eqn1(16) are substituted intoEqn1(19) , and then the thickness of rolled plate(strip) can be solved.113Analysis and computation model of shape andcrown for 42high CVC millThe analysis and computation flow of shape andcrown for 42high CVC mill is shown in Fig16. Thethree2dimensional plasticdeformationanalysis ofplate (strip) is used to determine the transverse (ydirection) distributions of unit width rolling pres2surep1, front tension stress1, back tension stress0and so on.The elastic deformation analysis ofrolls is used to determine the transverse distributionof unit width contact pressureqbetween work rolland backup roll and the loaded roll gap shapeh1namely the transverse distribution of the exit plate(strip) thickness. The above two are coupled , andthe exit shape (transverse distribution of1) and theexit crown of plate (strip) (transverse distributionofh1)under given rolling conditions can be ob2tained.Fig16Flow diagram of analysis and computationof shape and crown2Simulation ResultsBased on the practice on a 42high CVC hot striprolling mill , the shape control was studied. The en2try width of strip was 1 235 mm. The thickness ofstrip is 391214 mm at the entry and 241477 mm atthe exit.The entry yield strength of strip is 100MPa. The entry crown of strip is 700m. The fronttension was 186150 kN , and the back tension is 0kN. The bending force of work roll was 1 077 kN.The work roll has a diameter of 850 mm and a rollbody length of 2 250 mm , and the backup roll has adiameter of 1 500 mm and a roll body length of 2 050mm. The space between the bending forces of workrolls two ends is 3 150 mm , and the space betweenthe two end press down support points is 3 150 mm.The space between the maximal and minimal diame2ter of work roll is 1 300 mm. The difference of themaximal and minimal diameter of work roll is 015998 mm.The initial shifting distance (0) of CVCwork roll is - 10 mm , and the shifting distance ()of CVC work roll is - 95 mm. The thermal crown ofwork roll is 350m.211Simulation of shape control by work roll shiftingFig17 shows the transverse distribution of exitstrip crown (h1) and unit width rolling pressure(p1) under the condition thatFwis 1 077 kN , andis - 75 mm , - 25 mm , 25 mm and 75 mm respec2tively. With the increase of,h1reduces largely.The transverse change ofp1becomes more rapidly.Fig18 shows the distribution of1under the condi2tion thatFwis 1 077 kN , andis - 75 mm , - 25 mm ,25 mm and 75 mm respectively. With the increase of, the transverse difference of1increases from 33MPa at= - 75 mm to 79 MPa at= 75 mm. It isobvious that for thick plate (strip) , the larger thechange of the proportional crown , the larger the in2fluence on1.212Simulation of bending roll characteristic of workrollFig19 shows the relation ofh1,p1andFw.With the increase ofFw,h1changes little , and thetransverse change ofp1increases , but the influenceofFwis weaker than that of.Fig110 shows the distribution of1at the exitunder the condition thatis - 95 mm , andFwis 0kN , 300 kN , 600 kN and 900 kN respectively. Withthe increase ofFw, the transverse difference of1in2creases , in particular at the edges.213Influence of plate ( strip) width on shape andcrownIn order to study the influence of plate (strip)width on shape and crown of hot rolled plate (strip)accurately , and to eliminate the influence of otherfactors , in the simulation , thewas set at 10 mm(namely+0= 0) ,Fwwas set at 0 kN , andT1was92No12Shape Control Simulation on 42High CVC Mill 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved. = - 75 mm; = - 25 mm; = 25 mm; = 75 mmFig17Influence ofonh1andp1(Fw= 1 077 kN)(a)= - 75 mm;(b)= - 25 mm;(c)= 25 mm;(d)= 75 mmFig18Influence ofon1(Fw= 1 077 kN)1Fw= 0 kN ;2Fw= 300 kN ;3Fw= 600 kN ;4Fw= 900 kNFig19Influence ofFwonh1andp1(= - 95 mm)03J.Iron & Steel Res. , Int.Vol112 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved. (a)Fw= 0 kN ;(b)Fw= 300 kN ;(c)Fw= 600 kN ;(d)Fw= 900 kNFig110Influence ofFwon1(= - 95 mm)changed at the same proportion as the plate (strip)width.Fig111 shows the distributions ofh1andp1fordifferentB. With the increase ofB,h1increasesfirstly and decreases then , andh1( = 2741335m)atB= 1 635 mm is already slightly less thanh1( = 2741388m) atB= 1 435 mm. Meanwhile , thedistribution of roll gap becomes smoother increas2ingly. In addition , with the increase ofB, the trans2verse difference ofp1decreases firstly and increasesthen.The reason can be thath1increases firstlyand decreases then , and the action width of they2di2rection friction stress (y) increases with the in2crease ofB, making the transverse change of1in2crease.Fig112 shows the distribution of1under differ2entB. With the increase ofB, the transverse differ2ence of1decreases firstly and increases then , how2ever , the altitudinal change of1is very small ,which may be that the strip width/ thickness ratio isalready very large , and even the strip width/ thick2ness ratio increases continuously again , the altitudi2nal changes of stresses and deformations of plate(strip) may be not obvious.3Conclusions(1) With the increase of,h1reduces large2ly , and the transverse difference of1increases.With increasingFw,h1reduces lightly , and thetransverse difference of1increases , in particular atB= 1 035 mm;B= 1 235 mm;B= 1 435 mm;B= 1 635 mmFig111Influence ofBonh1andp1(= 10 mm,Fw= 0 kN)13No12Shape Control Simulation on 42High CVC Mill 1994-2006 China Academic Journal Electronic Publishing House. All rights reserved. (a)B= 1 035 mm;(b)B= 1 235 mm;(c)B= 1 435 mm;(d)B= 1 635 mmFig112Influence ofBon1(= 10 mm,Fw= 0 kN)the edges.With the increase ofB,h1increasesfirstly and decreases then , and meanwhile , the rollgap becomes smoother increasingly , and the trans2verse difference of1decreases firstly and increasesthen.(2) The influence ofon shape and crown isvery large , and it is suitable for shape and crownpreset. The influence ofFwon shape and crown issmaller , and it is suitable for the on2line adjustmentof shape and crown.References :1WANG Hong2xu , LIU Hong2min. Simulation on Characteris2tics of Profile Control in Cold Wide Strip Rolling on CVC MillJ . Research on Iron and Steel , 1997 , (2) : 21223 , 54 (inChinese) .2LIU Hong2min , Sanfilippo F , Dolici F. Flatness Control Math2ematic Model of Hot Steel Strip Continuous Rolling Mill J .Iron and Steel , 1996 , 31(10) : 30234 (in Chinese) .3GUO Jian2bo. Research on Shape and Profile Control Technolo2gy of Hot Steel Strip Continuous Mills D. Qinhuangdao :Yanshan University , 1998 (in Chinese) .4PENG Yan , ZHENG Zhen2zhong , LIU Hong2min. SimulationResearch of Cold Rolled Strip Shape Control in 62Roller HCMill J . China Mechanical Engineering , 2000 , 11(9) : 106121063 (in Chinese) .5LIU Hong2min , ZHENG Zhen2zhong , PENG Yan , et al. Com2puter Simulation of the Roll Co
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