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以某冷连轧机组轧制过程中两机架间运动带钢为研究对象,根据运动梁理论和运动薄板理论,分别建立了轧制过程运动带钢动力学模型。通过Galerkin截断,把描述系统运动的偏微分方程离散化。利用数值方法分析了轧制过程运动带钢的固有特性和稳定性。并对某连轧机组进行稳定性分析,分析结果表明:该机组第二和第三机架间运动板带的极限速度可以达到32m/s,并且基于运动梁模型和基于运动薄板模型所计算出的结果极为接近,验证了所建模型的正确性。
Taking the strip of steel between two stands as the research object in the rolling process of a cold tandem rolling mill, the dynamic model of the strip in the rolling process was established according to the theory of moving beam and the theory of moving sheet. Truncated by Galerkin, the partial differential equations describing the motion of the system are discretized. The inherent characteristics and stability of the strip during the rolling process were analyzed by numerical method. And the stability analysis of a continuous rolling mill is carried out. The analysis results show that the ultimate speed of the moving belt between the second and the third frame of this unit can reach 32m / s. Based on the moving beam model and the model based on the moving thin plate The results are very close to verify the correctness of the model.