摘要
为研究轧机辊系分布质量动态效应对板材质量的影响,将辊系看成弹性连续体,根据Bernoulli—Euler Beam理论建立辊系横向振动的动力学模型。运用Ritz级数法推导出振动控制方程的质量矩阵和刚度矩阵,并用模态分析法对振动方程的系数矩阵进行解耦,以获得辊系主振型、固有频率及动力响应曲线。通过分析动力学模型得到的辊系横向振动三维图可知,辊身中部的振动比边部明显强烈,并且挠度随着时间的推移在不断变化,挠度变化导致辊缝也在变化,这说明辊系变形不光与静力学有关,它还与动力学因素有关,其中轧辊分布质量动态效应就是一个不可忽略的因素。因此深入对辊系分布质量动态效应研究,更能反映出辊系的微观变化,并将为板形和板厚的实时控制提供重要的参考数据。
In order to study the effect of dynamic effects of roll distribution quality on the steel quality,the rollers were considered as elastic continuous bodies in this work.The dynamic model of roller transverse vibration was built according to Bernoulli-Euler Beam theory.Mass matrix and stiffness matrix of vibration control equation were deduced by using Ritz series method,and the coefficient matrix of vibration equation were decoupled by Modal Analysis,so the roll vibration mode,natural frequency and dynamic response curve were obtained.Through analysis of the three-dimensional graph of transverse vibration obtained by analyzing the dynamic model,it show that the vibration of the central barrel was stronger than the edge,and the deflection over time was constantly changing.The roll gap changed with deflection change,this showed that roll deformation was related to not only static factors,but also kinetic factors.The dynamic effects of roll distribution quality can not be ignored.Therefore,by further studying on the dynamic effects of roll distribution quality,the microscopic changes of rollers could be better reflected.Microscopic changes the microscopic of rollers are better reflected.The study will provide important reference data for real-time control of the strip shape and strip thickness.
出处
《冶金丛刊》
2010年第5期8-11,28,共5页
Metallurgical Collections
基金
湖北省自然科学基金资助项目(2008CDB296)
关键词
轧辊分布质量
横向振动
Ritz级数法
模态分析法
quality distribution of roll
transverse vibration
Ritz series method
modal analysis