The study of rolling mill vibration theory has always been a scientific frontier in the field of rolling forming, which is very important to the quality of sheet metal and the stable operation of equipment. A magnetorheological fluid damper absorber is designed to control the nonlinear vertical vibration of rolling mill. Considering the fractional order and delay factors in the control effect of magnetorheological fluid, the fractional order delay nonlinear vertical vibration equation with magnetorheological damping damper is established. The amplitude-frequency characteristic equations of the main resonance and sub-resonance of the system are solved by multi-scale method. The effects of stiffness coefficient, damping coefficient, time delay, fractional order, and exciting force on the vibration characteristics of roller system are analyzed by comparing the amplitude-frequency curve, time-domain curve and phase diagram. The transition set of the steady-state response of the system and the corresponding bifurcation topology structure are analyzed by using the singularity theory. A magnetorheological fluid damper absorber platform of rolling mill is built based on modern test technology, and the influence laws of the control threshold, control current, type of magnetorheological fluid and reduction rate are analyzed. The correctness and feasibility of the design of the magnetorheological fluid damper absorber are verified, which provided theoretical guidance and technical support for the nonlinear dynamic analysis and stability control of the rolling mill.

中文翻译：

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基于磁流变流体阻尼器的轧机垂直振动特性研究


轧机振动理论的研究一直是滚压成形领域的科学前沿，对钣金质量和设备的稳定运行非常重要。磁流变流体阻尼器设计用于控制轧机的非线性垂直振动。考虑磁流变流体控制效果中的分数阶和延迟因素，建立了具有磁流变阻尼器的分数阶延迟非线性垂直振动方程。采用多尺度方法求解系统主谐振和次谐振的幅频特性方程。通过幅频曲线、时域曲线和相位图的比较，分析了刚度系数、阻尼系数、时延、分数阶和激振力对辊系统振动特性的影响。利用奇点理论分析了系统的稳态响应过渡集和相应的分岔拓扑结构。基于现代试验技术搭建了轧机磁流变流体阻尼吸收器平台，分析了控制阈值、控制电流、磁流变流体类型和还原率的影响规律。验证了磁流变流体阻尼器设计的正确性和可行性，为轧机非线性动力学分析和稳定性控制提供了理论指导和技术支持。