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为了解四辊轧机在轧制过程中液压缸的非线性刚度约束作用,建立了非线性刚度作用下的轧机辊系两自由度垂直振动动力学模型。依据达朗贝尔原理得到含有液压缸非线性刚度的轧机辊系垂直振动方程,运用平均法求得振动系统的幅频响应。以轧机的实际参数为例,分析液压缸非线性刚度、外激励对轧机系统幅频响应的影响,并研究在不同非线性刚度下的轧机振动行为。结果表明,液压缸非线性刚度越大,轧机系统越不稳定;液压缸非线性刚度较弱时,轧机振动行为会逐渐收敛于稳定,液压缸非线性刚度较强时,轧机振动行为会处于不稳定状态,并且出现发散现象,这为抑制轧机振动提供了理论参考。
In order to understand the nonlinear stiffness restraint of the four-high rolling mill during the rolling process, a two-degree-of-freedom vertical vibration dynamic model of the mill roll system under nonlinear stiffness was established. According to the principle of Dalambel, the vertical vibration equation of roller system with nonlinear stiffness of hydraulic cylinder is obtained, and the amplitude-frequency response of the vibration system is obtained by averaging method. Take the actual parameters of rolling mill as an example, the influence of nonlinear stiffness and external excitation of hydraulic cylinder on amplitude-frequency response of rolling mill system is analyzed. The vibration behavior of rolling mill under different nonlinear stiffness is studied. The results show that the greater the nonlinear stiffness of the hydraulic cylinder, the more unstable the rolling mill system. When the nonlinear stiffness of the hydraulic cylinder is weak, the vibration behavior of the rolling mill gradually converges to a steady state. When the nonlinear stiffness of the hydraulic cylinder is strong, Stable state, and the phenomenon of divergence, which provides a theoretical reference for suppressing mill vibration.