摘要:
本文利用[1]中的冷连轧动态数学模型,对冷连轧过程进行了计算机模拟仿真,给出了仿真的结果与分析.这个方法的特点是:张力模型表示为差分方程形式的状态方程,便于递推求解;张力系统与厚度系统可分离,从而在联立解出各架张力后使厚度方程成为一维的非线性方程,用割线法可以方便地解出各架出口厚度.避免了模型线性化所造成的计算偏导数的麻烦以及只适用于小扰动的局限性,从而有效地减小了计算量,比使用线性化模型有较高的精度.
Abstract:
This paper describes the simulation of cold tandem rolling process by digital computer using the dynamic state mathematical model of cold tandem rolling discussed in [1], and gives the result and analysis of the simulation. The features of this method are: the tension model is, expressed as the state equation in the form of difference equation, which can be conveniently solved by recursive method; the tension system and the thickness system are seperable, so that the thickness equation becomes one dimensional nonlinear one after having solved simultaneously the tension of each stand and by means of the secant method, it is convenient to solve the outgoing thickness of each stand. Thus the trouble of computing the partial derivatives caused by the linearization of the model and the limitation of application only to small disturbances can be avoided. This method effectively decreases the amount of computation and possesses higher degree of accuracy than that of using linearized model.