冷轧机垂向辊系非线性振动建模与稳定性分析

Nonlinear Vibration Modeling and Stability Analysis of Vertical Roller System in Cold Rolling Mill

考虑轧制界面的非线性阻尼和辊系-机架间的非线性刚度影响,建立冷板带轧机两自由度垂向系统非线性自激振动模型。利用奇异值理论讨论不同参数条件下系统的稳定性,并通过平均法求解垂向振动系统一次近似解,得到系统的振幅、相位微分特性方程。分析了刚度、阻尼等非线性参数变化对系统稳定性及振动特性的影响,并采用数值仿真方法验证了理论推导结果的正确性,为抑制冷轧机垂向辊系系统振动提供了一定的理论指导。

The nonlinear dynamic equation of vertical vibration system with two degrees of freedom is established including the time-vary stiffness and nonlinear damping.The system stability with different parameters is discussed using singular value theory,the equation and the first-order approximate solution is deduced with the aid of averaging method,and the influence of nonlinear effects is derived then.Meanwhile,numerical simulation verifies the theory results with different nonlinear parameters.A significant contribution of this study is helpful to modeling and analysis of cold rolling vertical system.