Efficient Three-Dimensional Model to Predict Time History of Structural Dynamics in Cold Rolling Mills
Efficient Three-Dimensional Model to Predict Time History of Structural Dynamics in Cold Rolling Mills
复制标题
用于预测冷轧机结构动力学时程的高效三维模型
DOI：
10.1115/1.4052703
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Mathews, Ritin
中科院分区：
文献类型：
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作者：
Patel, Akash;Malik, Arif;Mathews, Ritin
介绍了一种新的基于物理的三维（3D）数学模型，能够有效地预测用于制造金属板带和板材的冷轧米尔斯机的非线性结构动力学的时间历程。所描述的模型允许预测的瞬态带厚度分布，接触力分布，和辊叠变形由于动态干扰。新的3D模型的制定是通过一个高效的混合有限元法与Newmark-beta直接时间积分方法相结合，以解决控制辊堆运动的微分方程系统。与以前的方法来预测结构动力学在冷轧，所提出的方法放弃了一些简化的假设和限制，包括一维或二维线性集总参数分析，垂直对称，连续和恒定的辊和带之间的接触，以及无法模拟集群式轧机配置，并适应典型的轮廓/平直度控制机制在工业中使用。在无阻尼阶跃响应的空间和时间收敛研究以及阻尼阶跃响应的验证之后，新模型被证明用于配备有工作辊弯曲和工作辊凸度的4辊轧机，具有连续可变凸度（CVC）中间辊的6辊轧机，以及最后复杂的20辊集群轧机。阻尼4高和20高的情况下，在一个单一的计算处理器上的解决方案的时间分别为0.37秒和3.38秒，每个时间步。
Introduced is a new physics-based three-dimensional (3D) mathematical model capable of efficiently predicting time histories of the nonlinear structural dynamics in cold rolling mills used to manufacture metal strips and sheets. The described model allows for the prediction of transient strip thickness profiles, contact force distributions, and roll-stack deformations due to dynamic disturbances. Formulation of the new 3D model is achieved through a combination of the highly efficient simplified-mixed finite element method with a Newmark-beta direct time integration approach to solve the system of differential equations that governs the motion of the roll-stack. In contrast to prior approaches to predict structural dynamics in cold rolling, the presented method abandons several simplifying assumptions and restrictions, including 1D or 2D linear lumped parameter analyses, vertical symmetry, continuous and constant contact between the rolls and strip, as well as the inability to model cluster-type mill configurations and accommodate typical profile/flatness control mechanisms used in industry. Following spatial and temporal convergence studies of the undamped step response, and validation of the damped step response, the new model is demonstrated for a 4-high mill equipped with both work-roll bending and work-roll crown, a 6-high mill with continuously variable crown (CVC) intermediate rolls, and finally a complex 20-high cluster mill. Solution times on a single computing processor for the damped 4-high and 20-high case studies are just 0.37 s and 3.38 s per time-step, respectively.