板形是高强度带钢产品的重要质量指标。然而随着强度级别不断提高，热精轧高次浪形问题日益突出且难以消除。为了揭示高强钢高次板形缺陷生成机理，探明温度和相变影响下高强钢金属横向流动规律和屈曲失稳行为，突破传统在线板形模型局部标志点控制理念的短板，采用多尺度仿真方法，量化横向温度和相变差异下的材料强度不均匀分布，基于高阶剪切理论研究材料不均匀引起的剪切效应对高次屈曲失稳的影响；采用无限元-有限元快速仿真模型揭示高强钢材料强度大小及分布不均对金属横向流动的影响，基于增量理论建立轧件变形快速计算模型，用于带钢全幅宽断面轮廓和残余应力分布的在线预测；将局部标志点凸度目标升级为整体断面轮廓目标，从板形特征分量入手，依据弯辊、窜辊、辊形的调节能力和作用域合理分配控制量，通过遗传模拟退火算法优化目标值和执行量。本项目建立了全幅宽板形在线预测和控制基础模型，为生产板形良好的高强度高品质板带产品提供了理论支撑。

Shape is the important quality indicator for high-strength strip products. However, with the continuous improvement of strength level, the problem of high-order wave in hot finish rolling is becoming increasingly prominent and difficult to eliminate. In order to reveal the formation mechanism of high-order shape defects of high-strength steel, explore the lateral flow law and buckling behavior under the effects of temperature and phase transformation, and break through the shortcoming of the local mark point control concept of traditional online shape model, the multi-scale simulation method is adopted to quantify the uneven distribution of material strength under transverse differences of temperature and phase transformation. The shearing effect caused by uneven material on high-order buckling is studied based on the high-order shear theory. The effect of material strength and its uneven distribution on the lateral metal flow is revealed by the infinite element-finite element rapid model. Based on the incremental theory, a rapid strip deformation model is established for online prediction of the full-width profile and residual stress distribution. The crown target at local marker point is upgraded to the overall contour target. According to the shape feature components, the control amount is reasonably allocated according to the adjustment ability and scope of the bending, shifting and roll shape, and the target and execution are optimized by the genetic simulated annealing algorithm. These research work sets up the basic model for online prediction and control of full-width strip shape, which provides theoretical support for the production of high-strength and high-quality strip products with good strip shape.