二十辊轧机辊系耦合振动特性及振动控制

Coupled vibration characteristics and vibration control of roll system of 20-high rolling mill

精密极薄带因具备高精度、耐腐蚀、优异表面光洁度等性能,被广泛应用于微制造、微电子等高技术领域。二十辊轧机辊系的耦合振动对极薄带的生产有着重要的影响。考虑到轧制工艺和润滑状态等变化形成非线性轧制界面,建立了一种二十辊轧机辊系耦合动力学模型。应用多尺度法求解主共振和内共振的幅频特性方程,分析了不同参数对幅频特性曲线的影响。基于奇异性理论探究了不同参数与系统分岔的关系。同时,根据李雅普诺夫一次近似稳定性判据,结合系统动相平面相轨迹图,对系统稳定性进行判断分析。然后,基于Washout filter控制器原理设计了一种状态反馈控制器,通过对系统进行状态空间表达式变换,分析了控制增益对幅频特性的影响。利用时域图、相位图、频谱图以及Poincaré截面图进行仿真对比,验证了所设计控制器的可行性和有效性,为二十辊轧机振动及其控制的研究提供了一定的理论指导。

Precision ultra-thin strips are widely used in high-tech fields of micro manufacturing and microelectronics due to their high precision,corrosion resistance,and excellent surface smoothness.Coupled vibration of roll system of 20-high rolling mill has an important impact on production of ultra-thin strips.Here,a coupled dynamic model of a 20-high rolling mill roll system was established considering formation of nonlinear rolling interfaces due to changes in rolling process and lubrication status.The multi-scale method was applied to solve amplitude-frequency characteristic equations of main resonance and internal resonance,and effects of different parameters on amplitude-frequency characteristics curve were analyzed.Relations among different parameters and system bifurcation were explored based on singularity theory.At the same time,according to Lyapunov first-order approximate stability criterion and combining system dynamic phase plane and phase trajectory diagram,the system stability was judged and analyzed.Then,based on the principle of Washout filter controller,a state feedback controller was designed,and effects of control gain on amplitude-frequency characteristics were analyzed by converting the system into its state space expression.The feasibility and effectiveness of the designed controller were verified through simulation and comparison using time-domain diagram,phase diagram,spectral diagram and Poincaré cross-section diagram to provide a theoretical guidance for studying vibration and vibration control of 20-high rolling mill.