The vibration instability of the nonlinear dynamic system of the rolls considering the structural clearance was theoretically investigated, which is caused by the roll assembly accuracy deviation in the hot rolling process. Firstly, the dynamic rolling force model was established based on the Цeликoв model under the influence of the roll grinding deviation and the stability of the deformation zone. Further, the horizontal and vertical direction coupling dynamic model of the work roll was established considering the structural clearance between the roll and mill frame. Then, the nonlinear dynamic equation was solved by the Runge–Kutta method. The simulation results show that the dynamic system presents the nonlinear vibration characteristics, which shows that the instability of the system is a slowly varying response process with the characteristics of self-excited vibration and forced vibration. Finally, the comparison results show the consistency between the simulation and the test.

理论研究了热轧过程中轧辊装配精度偏差引起的考虑结构间隙的轧辊非线性动力系统的振动不稳定性。首先，基于Цeликoв模型建立了轧辊磨偏和变形区稳定性影响下的动态轧制力模型。进一步建立了考虑轧辊与轧机机架结构间隙的工作辊水平和垂直方向耦合动力学模型。然后，非线性动力学方程用龙格-库塔法求解。仿真结果表明，动态系统呈现非线性振动特性，这表明系统的不稳定性是一个缓慢变化的响应过程，具有自激振动和强迫振动的特点。最后，比较结果表明了仿真与试验的一致性。