冷轧带钢局部高点卷取过程起筋控制的建模与仿真

Modeling and simulation of ridge-buckle control in the coiling process of cold rolling strips with local high points

为了研究带钢局部高点卷取起筋的控制方法,利用三维弹塑性变形基本理论,并引入带钢塑性流动因子,建立了弹塑性卷取应力和起筋量模型.基于应力函数假设、S.Timoshenko最小功原理和伽辽金虚位移法建立了起筋带钢的应力场分布和可用于在线计算的起筋临界卷取张力设定模型.仿真结果表明:局部高点在径向累积叠加所引起的带钢张力不均匀分布和轴向压应力是导致带钢起筋的主要原因;起筋量随局部高点高度、卷径和卷取张力增加而增大,薄带钢比厚带钢起筋量增幅明显;临界卷取张力随卷径、带钢厚度和局部高点高度增大而减小.

In order to research the ridge-buckle control method in the coiling process of steel strips with local high points,elastoplastic stress and ridge-buckle models are established by using the theory of three-dimensional elastoplastic deformation and introducing a plastic flow factor. Then a stress distribution model of ridge-buckle strips and an online setting model of buckling critical coiling tension are derived from the hypothesis of stress functions,the S. Timoshenko principle of least work,and the theory of Galerkin virtual displacement. Simulation results show that the uneven distribution of strip tension and axial compressive stress caused by radial accumulation of local high points is the main cause of strip ridge-buckles. The ridge-buckle quantity increases when the local high point＇s height,coiling diameter and coiling tension increase; the ridge-buckle of a thin strip is more obvious than that of a thick one.The critical coiling tension decreases with the increase of strip thickness,the local high point＇s height and coiling radius.