【摘要】 为研究冷轧机水平方向在多频激励下发生的组合振动，利用多尺度法求得相应力学模型解析解的近似表达式。在三项激振力频率之和接近系统固有频率时，分析系统非线性振动幅频响应曲线受刚度项和阻尼项系数变化的影响。仿真表明，由于非线性因素影响，使水平系统存在跳跃现象和不稳定区域，当增大系统线性刚度、线性阻尼、非线性阻尼和减小非线性刚度时有利于抑制水平振动；同时发现工作辊水平振动周期会随着激振幅值的变化出现倍周期与混沌周期交替现象，合理选取激振力幅值范围有利于抑制混沌运动的产生；减小轴承座与牌坊立柱间隙能够有效抑制轧机水平振动位移及其碰撞现象。以上研究为抑制轧机水平振动提供了有效理论参考。更多还原

【Abstract】 Aim to study the combined vibration of the cold rolling mill under multi-frequency excitation in the horizontal direction, an approximate expression of the analytical solution of the corresponding mechanical model was obtained by the multi-scale method. When the sum of the three excitation force frequencies is close to the natural frequency of the system, the influence of the system’s nonlinear vibration amplitude-frequency response curve was analyzed by the change of stiffness and damping coefficient. Simulation shows that the horizontal system has a jumping phenomenon and unstable regionsdue due to the influence of nonlinear factors. It is beneficial to suppress the horizontal vibration by increasing the linear stiffness, linear damping, nonlinear damping of the system and reducing the nonlinear stiffness. At the same time, it is found that the work roll the horizontal vibration period will change between the double period and the chaotic period as the excitation amplitude value changes. A reasonable selection of the excitation force amplitude range is beneficial to suppress the generation of chaotic motion. Phenomena of the rolling mill’s horizontal vibration displacement and collision can be effectively suppressed by reducing the gap between the bearing housing and the column. It provides an effective theoretical reference to suppress the rolling mill’s horizontal vibration.更多还原