摘要
针对二十辊轧机在生产极薄带过程中出现的强耦合、非线性振动问题,本文建立了工作辊与第一中间辊的六自由度非线性动力学模型。考虑轧制界面的非线性刚度与阻尼,采用多尺度法求解系统的主共振与内共振幅频特性方程,并分析了不同参数对幅频特性曲线的影响规律。为进一步控制二十辊轧机的非线性振动,设计了一种调谐质量阻尼器(TMD),并建立了其与轧机系统的耦合动力学模型。分析了质量、刚度和阻尼比对轧机动态放大系数的影响。为最小化动态放大系数的峰值,采用自适应遗传算法对调谐质量阻尼器的参数进行优化,确定了最优的质量、刚度和阻尼比。最后,通过时域图、相位图、频谱图以及Poincaré截面图的仿真对比,验证了TMD控制器在抑制振动方面的可行性和有效性。研究结果对实际生产具有重要的指导意义。
Aiming at the strong coupling and nonlinear vibration problems of the twenty-high rolling mill during the production of ultra-thin strips,this paper establishes a six-degree-of-freedom nonlinear dynamic model for the working roll-first intermediate roll.Considering the nonlinear stiffness and damping at the rolling interface,the amplitude-frequency characteristic equations of primary resonance and internal resonance were solved by the multi-scale method,and the influence of different parameters on the amplitude-frequency characteristic curves was analyzed.A tuned mass damper was designed to control the nonlinear vibration characteristics of a twenty-high rolling mill,and a coupled dynamic model of the tuned mass damper and the rolling mill system was established.The influence of mass,stiffness and damping ratio on the dynamic amplification factor of the rolling mill was analyzed.To minimize the peak value of the dynamic amplification factor,the parameters of the tuned mass damper were optimized by the adaptive genetic algorithm,and the optimal mass,stiffness and damping ratio were determined.Finally,the feasibility and effectiveness of the TMD controller were verified by simulation comparison using time-domain diagrams,phase diagrams,frequency spectra and Poincarésection diagrams,which has important guiding significance for real production.
作者
卜新东
杨可托
张卫荣
孔祥岚
和东平
刘亚星
BU Xindong;YANG Ketuo;ZHANG Weirong;KONG Xianglan;HE Dongping;LIU Yaxing(MCC-SFRE Heavy Industry Equipment Co.,Ltd.,Xi’an 710119,China;College of Mechanical Engineering,Taiyuan University of Technology,Taiyuan 030024,China)
出处
《重型机械》
2026年第1期68-77,共10页
Heavy Machinery
基金
金属成形技术与重型装备全国重点实验室开放课题(B2408100.W13)
海安太原理工大学先进制造与智能装备产业研究院开放项目(2024HA-TYUTKFYF005)。
