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基于颗粒阻尼吸振的波纹辊轧机非线性垂振控制 被引量:5

Nonlinear vertical vibration control of corrugated rolling mill based on particle damping absorber
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摘要 轧机振动理论的研究一直是轧制成形领域的前沿科学问题,对板材的质量和设备的稳定运行至关重要。随着轧制复合成形技术的快速发展,波纹辊轧机作为一种具有特殊辊型的设备,在复合板制备上具有细化晶粒、改善板形、提高结合强度等突出优点,逐渐成为当前的研究热点,但是复杂辊型曲线所诱发的轧制力动态变化对轧机的稳定性控制提出了新的挑战。为了对波纹辊轧机的非线性垂振进行合理的控制,建立了考虑波平辊系之间的非线性刚度、波纹界面非线性阻尼和轧制力动态波动的非线性垂振方程,通过分岔图、最大Lyapunov指数、相轨迹和Poincare截面分析了轧制力的动态变化对系统稳定性的影响,发现轧制力的动态变化诱发系统产生了复杂的动力学行为。设计了一种颗粒阻尼吸振器对波纹辊轧机非线性垂振进行控制,运用多尺度法求解得到了安装颗粒阻尼吸振器系统的幅频特性曲线方程,分析了钢珠颗粒群质量、吸振器刚度系数、阻尼系数以及质量比对幅频特性曲线的影响,通过数值仿真研究了颗粒阻尼吸振器对非线性垂振的控制效果。最后,通过试验验证了颗粒阻尼吸振器设计的正确性和可行性,缩短动态过程调整时间的同时也减小了系统的振幅,为波纹辊轧机非线性动力学分析及稳定性控制提供理论指导和技术支持。 The research of rolling mill vibration theory has always been a scientific problem in the field of rolling forming,which is very important to the quality of sheet metal and the stable operation of equipment.With the rapid development of rolling composite forming technology,corrugated rolling mill,as a kind of equipment with special roller shape,has the outstanding advantages of refining grain,improving plate shape and improving bonding strength in composite plate preparation,and has gradually become a research hotspot at present.The dynamic change of rolling force induced by complex roller profile curve of corrugated rolling mill presents a new challenge to the stability control of rolling mill.In order to reasonably control the nonlinear vertical vibration of corrugated rolling mill,the nonlinear vertical vibration equation considering dynamic fluctuation of rolling force,nonlinear damping and nonlinear stiffness between corrugated interfaces was established.The effect of rolling force dynamic variation on system stability was analyzed by bifurcation chaos diagram,maximum Lyapunov exponent,phase path and Poincare section.It is found that the dynamic change of rolling force induces complex dynamic behavior of the system.A particle damping absorber is designed to control the nonlinear vertical vibration of corrugated rolling mill.The amplitude-frequency characteristic equation of the dynamic vibration absorber system was obtained by using the multiscale method.The influence of particle mass,mass ratio,stiffness coefficient and damping coefficient of vibration absorber on amplitude-frequency characteristic curve was analyzed.The control effect of particle damper on nonlin ear vertical vibration was studied by numerical simulation.Finally,the correctness and feasibility of particle damping absorber design are verified by experiments,which can not only reduce the amplitude of the system but also shorten the adjustment time of dynamic process,and provides theoretical guidance and technical support for nonlinear dynamic analysis and stability control of corrugated rolling mill.
作者 和东平 徐慧东 刘元铭 王涛 HE Dongping;XU Huidong;LIU Yuanming;WANG Tao(College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan 030024,Shanxi,China;Engineering Research Center of Advanced Metal Composites Forming Technology and Equipment,Ministry of Education,Taiyuan 030024,Shanxi,China)
出处 《钢铁》 CAS CSCD 北大核心 2023年第8期129-137,共9页 Iron and Steel
基金 国家重点研发计划资助项目(2018YFA0707300) 国家自然科学基金资助项目(52205404) 山西省基础研究计划资助项目(202203021212293,202203021221054) 中央引导地方科技发展资金资助项目(YDZX20191400002149)。
关键词 波纹辊轧机 动态轧制力 非线性垂振 颗粒阻尼吸振器 多尺度法 corrugated rolling mill dynamic rolling force nonlinear vertical vibration particle damper absorber multiscale method
作者简介 和东平(1989-),男,博士,讲师,E-mail:tyuthdp@163.com;通信作者:徐慧东(1978-),男,博士,副教授,E-mail:xhd0931@126.com。
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