板帶軋制力與力矩的計算

1、5軋制力能參數(shù)計算與強度效核5.1計算各道次軋制壓力、力矩、功率5.1.1各道次的壓力單位壓力：愛克隆德公式p=(1+m)(K+nu )(Mpa)(5-1)式中m-表示外摩擦對單位壓力影響的系數(shù)；f-軋件與軋輥間的摩擦系數(shù)；對于鋼軋輥，f=1.05-0.0005t；R-軋輥工作半徑(mm)，四輥軋機(jī)取450mm；-壓下量，=-(mm)；,-軋制前后的軋件高度(mm)；t-軋制溫度(C)；K-靜壓力下單位變形抗力；K=9.8 (14-0.01t) (1.4+C%+Mn%) Mpa, C%取 0.2%, Mn%取 1.4%。n-被軋鋼材的粘度系數(shù)n=9.8x0.01(14-0.01t)C Mpa-

2、sC-關(guān)于軋制速度系數(shù)，V(m/s)6時，C取1 ； v=610m/s時，C=0.8 v-線速度，=3.14x0.9x60/60=2.826m/s,所以 C=1。 u-變形速率為(s-1)軋制時金屬對軋輥產(chǎn)生的總壓力為： P=p 舊(5-2)式中p-平均單位壓力(Mpa)B-軋件寬度，-變形區(qū)長度，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則平均單位壓力p=(1+m)(K+nu )=(1+0.095)(73.5+0.245x1.0028)=80.75Mpa軋制時金屬對軋輥產(chǎn)生的總壓力：P=p l B=80.75x67.08x2320=12566767.2kg=12.57MN其他道次的計算結(jié)果列于表5-1。表5-1各道次軋制壓力機(jī)架道次 m單位變形抗力K粘度系數(shù)n變形區(qū)長度l(mm)變形速度u(s-1)單位壓p(Mpa)總壓力P(MN)四輥粗軋1 0.095 73.5 0.245 67.08

4、2 1.0028 80.76 12.57四輥粗軋2 0.107 73.571 0.2452 73.485 1.1846 81.75 13.94四輥粗軋3 0.126 73.868 0.2462 84.853 1.5192 83.6 16.46四輥粗軋4 0.141 74.2 0.2473 87.464 1.7878 85.2 17.29四輥粗軋5 0.158 74.576 0.2486 87.464 2.0815 86.97 17.65四輥粗軋60.17675.0080.25 84.853 2.3822 88.87 17.5四輥粗軋70.19675.5110.2517 82.158 2.754

5、8 91.14 17.37四輥粗軋80.20176.1020.2537 70.356 2.7773 92.23 15.05四輥粗軋90.19976.7780.2559 60 2.7175 92.86 12.8四輥粗軋100.21977.9980.26 60 3.0951 96.03 13.24四輥粗軋 11 0.243 78.848 0.2628 60 3.5746 99.14 13.66四輥粗軋120.25779.818 0.2661 56.125 3.8737 101.6 13.1四輥精軋10.379136 0.4533 60 6.177 191.4 26.37四輥精軋20.436136.

6、3 0.4543 60 7.1094 200.4 27.62四輥精軋30.484137.5 0.4583 56.125 7.7465 209.3 26.98四輥精軋40.533138.95 0.4632 51.962 8.3671 218.9 26.13四輥精軋50.633140.71 0.469 51.962 9.8884 237.4 28.33四輥精軋60.709142.94 0.4765 47.434 10.832 253.2 27.58四輥精軋70.671145.78 0.4859 36.742 9.8188 251.6 21.24四輥精軋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軋制力矩此力矩用以克服軋件變形力及變形中發(fā)生與輥面上之軋件摩擦力。-合力作用點系數(shù)，一般對中厚板軋制約為0.40.5,粗軋道次取大值，隨軋件變薄取小 值。例如，對第一道次，取=0.5，則軋制力矩：=2x12.57x0.5x (0.45*0.01) A0.5=0.843MNm5.1.2.2摩擦力矩Mm傳動工作輥所需要的靜力矩，除軋制力矩外還有附加摩擦力鉅Mm式中-支撐輥軸承的摩擦系數(shù)，取f=0.005；-支撐輥輥頸直徑；Dg、Dz-工作輥及支撐輥直徑，Dg=900mm,Dz=1700mm;則=0.005xpx1.2x900/

8、1700=0.00317647p支撐輥輥頸直徑在中厚板軋機(jī)上為：(0.670.75) Dz=11391275mm取=1200mm式中-傳動效率系數(shù)，取=0.94貝9 =0.06 (Mz+Mm1)故=0.06Mz+1.06Mm1=0.06Mz+0.003367p例如：對第一道次，=0.06x0.843+0.003367x12.57=0.093MNm5.1.2.3空轉(zhuǎn)力矩軋機(jī)的空轉(zhuǎn)力矩Mk根據(jù)實際資料可取為電機(jī)額定力矩的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動力矩作用在電機(jī)軸上的動力鉅按下式計算 式中，-換算到電機(jī)軸上的，軋機(jī)傳動裝置中所有旋轉(zhuǎn)機(jī)件的總飛輪力矩，取418。-電機(jī)的加減速。則=10.92373dn/dt (KNm)對第一道次，為三角形速度圖，加速度為20，減速度為30，則總動力矩=10.92373x(20-30)=-109.2373 KNm=-0.1092373(MNm)總力矩+Md取i=1,則第一道次總力矩+Md =0.843+0.093+0.06-0.109=0.887 MNm將各道次結(jié)果列于表5-2：表5-2各道次力矩機(jī)架道次軋制力矩MNm 摩擦力矩MNm空轉(zhuǎn)力矩加速動力矩減速動力矩彎矩MnMNm 總力矩MNm四輥

10、粗軋10.500.84310.09290.060.2185-0.32770.83380.8868四輥粗軋20.501.02420.10840.060.2185-0.32771.01931.0834四輥粗軋30.501.39640.13920.060.2185-0.32771.39951.4864四輥粗軋40.501.51210.14890.060.2185-0.32771.51771.6118四輥粗軋50.481.48180.14830.060.2185-0.32771.48861.5808四輥粗軋60.481.42520.14440.060.2185-0.32771.43151.5204四輥

11、粗軋70.481.37020.14070.060.2185-0.32771.37611.4617四輥粗軋80.481.01680.11170.060.2185-0.32771.01541.0793四輥粗軋90.460.70640.08550.060.2185-0.32770.69780.7427四輥粗軋100.460.73060.08840.060.2185-0.32770.72340.7698四輥粗軋110.460.75420.09130.060.2185-0.32770.74840.7963四輥粗軋120.460.67650.08470.060.2185-0.32770.66890.712四輥精軋10.441.39250.17240.060.4369-0.65541.31781.4064四輥精軋20.441.45840.18050.060.4369-0.65541.38761.4804四輥精軋30.441.33260.17080.060.4369-0.65541.25991.345四輥精軋40.441.19470.15970.060.4369-0.65541.11921.1959四輥精軋50.421.23670.1696