材料期刊网

目前常用的冷连轧张力微分方程dt=E/L(ν_b(i+1)-ν_(fi))dτ是假设机架间的带钢具有均匀的断面,引用等断面直杆虎克定律导出的,故为等断面张力微分方程。但在模拟连轧机受阶跃外扰和进行动态变规格、咬钢抛钢等连轧过程的计算时,机架间带钢的断面是不均匀的,从而建立了变断面张力微分方程: dt_(ji)=E/(hi(l_1/h_i)/(l_2/H_(i+1)) (ν_b(i+1)-νfi)dτ 并以此方程为主体,提出对带钢断面阶跃变化点进行跟踪计算的动态数字模拟数学模型。经数字计算机实例模拟计算表明:当机架间带钢断面有阶跃变化时,仍采用等断面张力微分方程计算张力有较大误差,而采用变断面张力微分方程能正确地反映上述动态过程。

The simplified Phillips' differential equation of tension which derived from Hooke's law on the assumption of uniform strip section is conventionally used up to date for the computation of cold tandem rolling. However, the strip operated through the stands in rolling practice is not uniform in section. An improved empirical differential equation of tension especially for varying strip section has been proposed as:dt_(fi)=E/h_i(l_1/h_i+l_2/H_(i+1))(v_(b(i+1))-v_(fi)dτ under the consideration of influence of step disturbance or dynamic gage change. Based mainly upon this equation, it was made of a mathematical model for dynamic digital simulation to trace the position of the stepped section. Certain examples of the simulation computation on digital computer showed such marked error as it is still calculated by the equation of equal section. While a satisfactory representation of the dynamic process may be resulted by the equation aforementioned.