带钢-辊子-柔性支承混杂系统动力学建模与耦合振动研究  

Dynamic modeling and coupling vibration analysis of hybrid systems consisting of strip,rolls and flexible supports

作　　者：王洋[1] 许飞[1] 李勇[1] 徐培民[1] 

机构地区：[1]安徽工业大学机械工程学院,安徽马鞍山243032

出　　处：《振动工程学报》2013年第4期599-607,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(50975003)

摘　　要：基于广义Hamilton原理建立带钢连续热镀锌生产线镀锌段带钢-辊子-柔性支承混杂系统的数学模型,线性化后利用实模态理论得到系统的特征值问题。以某镀锌线为例,用数值方法研究带钢横截面积和初始张力对系统特征值和特征向量的影响、参数变化引起的模态跃迁、模态局部化现象和系统的耦合振动特性,以及考虑柔性支承时组成系统的各子系统间的耦合作用及子系统特性对混杂系统特性的影响。发现带钢子系统特性支配着混杂系统特性,转动振动子系统和柔性支承只在各自的共振区对混杂系统有显著影响,不仅在跃迁点附近子系统之间耦合强烈,在两相邻偏转点之间,即远离偏转点时亦有较强耦合。据此可借助对子系统的修改(或调节系统运行参数)来最大限度地改变总体系统特性。Based on the generalized Hamilton principle,the mathematical model of a strip-roller-flexible-supporting hybrid system in coating section of a continuous hot-dip galvanizing line is established.Normal mode theory is used to obtain the eigenvalue problems of the system after linearizing the equations of motion.Taking a galvanizing line for example,numerical solution is used to demonstrate the effects of the sectional area of strip steel and the initial tension on eigenvalues and eigenvectors of the system,the loci veering and mode localization phenomena,coupled vibration characteristics of the system,coupling function of each subsystem of the system and the relationship between characteristics of subsystem and the ones of the hybrid system with flexible supports.It is found that the subsystem of strip dominates the dynamic behavior of the hybrid system,but rotational subsystem and the flexible supports have remarkable influences on the hybrid system only within their respective resonance regions.Strong coupling exists between subsystems nearby the loci veering points and it still remains relatively strong between two adjacent loci veering points or far from a loci veering point.Hereby,subsystem modification or adjustment of operation parameters of the system can furthest alter the performance of the whole system.

关 键 词：机械振动 混杂系统 耦合振动 模态跃迁 模态局部化 

分 类 号：TH113[机械工程—机械设计及理论] O326[理学—一般力学与力学基础]