板带轧制力与力矩的计算

1、5轧制力能参数计算与强度效核5.1计算各道次轧制压力、力矩、功率5.1.1各道次的压力单位压力：爱克隆德公式p=(1+m)(K+nu )(Mpa)(5-1)式中m-表示外摩擦对单位压力影响的系数；f-轧件与轧辊间的摩擦系数；对于钢轧辊，f=1.05-0.0005t；R-轧辊工作半径(mm)，四辊轧机取450mm；-压下量，=-(mm)；,-轧制前后的轧件高度(mm)；t-轧制温度(C)；K-静压力下单位变形抗力；K=9.8 (14-0.01t) (1.4+C%+Mn%) Mpa, C%取 0.2%, Mn%取 1.4%。n-被轧钢材的粘度系数n=9.8x0.01(14-0.01t)C Mpa-

2、sC-关于轧制速度系数，V(m/s)6时，C取1 ； v=610m/s时，C=0.8 v-线速度，=3.14x0.9x60/60=2.826m/s,所以 C=1。 u-变形速率为(s-1)轧制时金属对轧辊产生的总压力为： P=p 旧(5-2)式中p-平均单位压力(Mpa)B-轧件宽度，-变形区长度，例如，第一道次，f=1.05-0.0005t=1.05-0.0005x1150=0.475 =0.095K=9.8 (14-0.01t) (1.4+C%+Mn%) =9.8x (14-0.01x1150) (1.4+0.2+1.4) =73.5 n=9.8x0.01(14-0.01t)C=0.098

3、x (14-0.01x1150) =0.245 =3.14x900 x29.28/60=1379.088mm/s =1.0028 =67.08则平均单位压力p=(1+m)(K+nu )=(1+0.095)(73.5+0.245x1.0028)=80.75Mpa轧制时金属对轧辊产生的总压力：P=p l B=80.75x67.08x2320=12566767.2kg=12.57MN其他道次的计算结果列于表5-1。表5-1各道次轧制压力机架道次 m单位变形抗力K粘度系数n变形区长度l(mm)变形速度u(s-1)单位压p(Mpa)总压力P(MN)四辊粗轧1 0.095 73.5 0.245 67.08

4、2 1.0028 80.76 12.57四辊粗轧2 0.107 73.571 0.2452 73.485 1.1846 81.75 13.94四辊粗轧3 0.126 73.868 0.2462 84.853 1.5192 83.6 16.46四辊粗轧4 0.141 74.2 0.2473 87.464 1.7878 85.2 17.29四辊粗轧5 0.158 74.576 0.2486 87.464 2.0815 86.97 17.65四辊粗轧60.17675.0080.25 84.853 2.3822 88.87 17.5四辊粗轧70.19675.5110.2517 82.158 2.754

5、8 91.14 17.37四辊粗轧80.20176.1020.2537 70.356 2.7773 92.23 15.05四辊粗轧90.19976.7780.2559 60 2.7175 92.86 12.8四辊粗轧100.21977.9980.26 60 3.0951 96.03 13.24四辊粗轧 11 0.243 78.848 0.2628 60 3.5746 99.14 13.66四辊粗轧120.25779.818 0.2661 56.125 3.8737 101.6 13.1四辊精轧10.379136 0.4533 60 6.177 191.4 26.37四辊精轧20.436136.

6、3 0.4543 60 7.1094 200.4 27.62四辊精轧30.484137.5 0.4583 56.125 7.7465 209.3 26.98四辊精轧40.533138.95 0.4632 51.962 8.3671 218.9 26.13四辊精轧50.633140.71 0.469 51.962 9.8884 237.4 28.33四辊精轧60.709142.94 0.4765 47.434 10.832 253.2 27.58四辊精轧70.671145.78 0.4859 36.742 9.8188 251.6 21.24四辊精轧80.633149.12 0.4971 30

7、8.9714 250.8 17.285.1.2各道次的力矩5.1.2.1轧制力矩此力矩用以克服轧件变形力及变形中发生与辊面上之轧件摩擦力。-合力作用点系数，一般对中厚板轧制约为0.40.5,粗轧道次取大值，随轧件变薄取小 值。例如，对第一道次，取=0.5，则轧制力矩：=2x12.57x0.5x (0.45*0.01) A0.5=0.843MNm5.1.2.2摩擦力矩Mm传动工作辊所需要的静力矩，除轧制力矩外还有附加摩擦力钜Mm式中-支撑辊轴承的摩擦系数，取f=0.005；-支撑辊辊颈直径；Dg、Dz-工作辊及支撑辊直径，Dg=900mm,Dz=1700mm;则=0.005xpx1.2x900/

8、1700=0.00317647p支撑辊辊颈直径在中厚板轧机上为：(0.670.75) Dz=11391275mm取=1200mm式中-传动效率系数，取=0.94贝9 =0.06 (Mz+Mm1)故=0.06Mz+1.06Mm1=0.06Mz+0.003367p例如：对第一道次，=0.06x0.843+0.003367x12.57=0.093MNm5.1.2.3空转力矩轧机的空转力矩Mk根据实际资料可取为电机额定力矩的3%6%。即 Mk=(0.030.06)x0.975N/n=(0.03 0.06)x0.975x2x4000 x9.8/60=(38.2276.44)KNm取 Mk=60 KNm5

9、.1.2.4动力矩作用在电机轴上的动力钜按下式计算 式中，-换算到电机轴上的，轧机传动装置中所有旋转机件的总飞轮力矩，取418。-电机的加减速。则=10.92373dn/dt (KNm)对第一道次，为三角形速度图，加速度为20，减速度为30，则总动力矩=10.92373x(20-30)=-109.2373 KNm=-0.1092373(MNm)总力矩+Md取i=1,则第一道次总力矩+Md =0.843+0.093+0.06-0.109=0.887 MNm将各道次结果列于表5-2：表5-2各道次力矩机架道次轧制力矩MNm 摩擦力矩MNm空转力矩加速动力矩减速动力矩弯矩MnMNm 总力矩MNm四辊

10、粗轧10.500.84310.09290.060.2185-0.32770.83380.8868四辊粗轧20.501.02420.10840.060.2185-0.32771.01931.0834四辊粗轧30.501.39640.13920.060.2185-0.32771.39951.4864四辊粗轧40.501.51210.14890.060.2185-0.32771.51771.6118四辊粗轧50.481.48180.14830.060.2185-0.32771.48861.5808四辊粗轧60.481.42520.14440.060.2185-0.32771.43151.5204四辊

11、粗轧70.481.37020.14070.060.2185-0.32771.37611.4617四辊粗轧80.481.01680.11170.060.2185-0.32771.01541.0793四辊粗轧90.460.70640.08550.060.2185-0.32770.69780.7427四辊粗轧100.460.73060.08840.060.2185-0.32770.72340.7698四辊粗轧110.460.75420.09130.060.2185-0.32770.74840.7963四辊粗轧120.460.67650.08470.060.2185-0.32770.66890.712四辊精轧10.441.39250.17240.060.4369-0.65541.31781.4064四辊精轧20.441.45840.18050.060.4369-0.65541.38761.4804四辊精轧30.441.33260.17080.060.4369-0.65541.25991.345四辊精轧40.441.19470.15970.060.4369-0.65541.11921.1959四辊精轧50.421.23670.1696