摘要
轧机的垂直振动是冷轧带钢产品生产效率低下的关键问题所在,严重影响了轧制产品的质量和轧制速度的提高.为提升轧机设备的安全性,同时提高生产的效率和钢材的精度,基于主被动阻尼减振器对轧机辊系的振动特性及减振效果进行了研究.首先,考虑主动阻尼控制效应中的分数阶和时滞因素,建立带有主被动阻尼减振器的分数阶时滞垂直非线性振动方程;然后,对建立的数学模型进行稳定性分析,得到主被动阻尼减振器各参数的稳定区域;再者,运用多尺度法求得系统的幅频方程,分析系统的时域特性、频谱特性、主共振特性以及次谐共振特性;而后,对轧机辊系振动响应进行时滞反馈控制,通过获得最优反馈控制增益和最优反馈时滞,将振动系统的振幅、不规则振动及能量消耗达到最优;最后,对静定轧机上工作辊进行了垂直振动控制实验,对比发现理论分析与实验结果基本吻合,结果表明主被动阻尼减振器能够有效抑制轧机辊系的垂直振动并满足设计要求.研究结果为轧机辊系减振器的设计应用及轧机的振动控制提供了参考.
The vertical vibration of the rolling mill is a key issue in the low production efficiency of cold-rolled strip products,which seriously affects the quality of rolled products and the improvement of rolling speed.In order to improve the safety of rolling mill equipment,production efficiency and steel accuracy,this paper studies the vibration characteristics and vibration reduction effect of rolling mill roll systems based on active and passive damping shock absorbers.Firstly,a fractional order time delayed vertical nonlinear vibration equation with active and passive damping shock absorbers is established through considering some factors of the fractional order and time delay in the active damping control effect;Then,the analysis of stability is conducted on the established mathematical model,and the stable regions of various parameters of the active and passive damping shock absorbers are obtained;Furthermore,the multiscale method is used to obtain the amplitude frequency equation of the system,and the time-domain characteristics,spectral characteristics,main resonance characteristics,and subharmonic resonance characteristics of the system are analyzed;Afterwards,a time-delay feedback control is applied to the vibration response of the rolling mill roll system,and the amplitude,irregular vibration,and energy consumption of the vibration system are optimized by achieving the optimal feedback control gain and optimal feedback delay;Finally,the vertical vibration control experiments are conducted on the working rolls of the stationary rolling mill,and it is found that the theoretical analysis is in agreement with the experimental results principally.The results show that the active and passive damping shock absorbers can effectively suppress the vertical vibration of the rolling mill roll system and meet the requirements of design.The results provide reference for the design and application of the shock absorber of rolling mill roll system and the vibration control of rolling mill.
作者
徐慧东
王义平
和东平
周碧柳
张伟
Xu Huidong;Wang Yiping;He Dongping;Zhou Biliu;Zhang Wei(College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan 030024,China;Engineering Research Center of Advanced Metal Composites Forming Technology and Equipment,Ministry of Education,Taiyuan 030024,China;School of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China)
出处
《力学学报》
EI
CAS
CSCD
北大核心
2024年第9期2713-2730,共18页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家重点研发计划(2018YFA0707300)
国家自然科学基金(11832002,51974196,52205404和12302004)
山西省基础研究计划(202203021-221054,202203021212293)
中央引导地方科技发展资金(YDZX20191400002149)资助项目.
关键词
时滞
稳定性
谐波共振
减振控制
轧机辊系
time delay
stability
harmonic resonance
vibration reduction control
rolling mill roll system