利用Hurwitz代数判据研究磁浮系统Hopf分岔现象  

Research on Hopf Bifurcation phenomena in maglev system by Hurwitz criteria

作　　者：王浩[1] 邹东升[1] 佘龙华[1] 

机构地区：[1]国防科技大学磁悬浮工程技术研究中心,湖南长沙410073

出　　处：《电力机车与城轨车辆》2009年第1期21-24,共4页Electric Locomotives & Mass Transit Vehicles

摘　　要：针对磁浮列车的弹性耦合振动现象,建立基于简支梁的单点车轨耦合模型。有关研究表明,磁浮车轨耦合振动现象,对应于数学上常微分方程的Hopf分岔问题。然而经典Hopf分岔求解方法在高阶系统计算上并不实用,为此采取了Hurwitz代数判据方法进行计算来寻找Hopf分岔点,并由此计算出了耦合振动的频率,且对结果进行了仿真验证,对进一步设计消除耦合振动的控制方法具有重要价值。For the flexibility coupling vibration phenomena, a model of vehicle coupling guideway vibration based on single pivot was built. Some research shows that the coupling vibration phenomena was related to the Hopf Bifurcation of constant differential equation. The classic solution to the Hupf Bifurcation was not practical to the real model of maglev system. Using the Hurwitz algebraic criterion to Fred the Hopf Bifurcation point and the frequency of coupling vibration was calculated. The simulation indicates that the conclusion is effective, and it has important value to design a control method to eliminate, the coupling vibration.

关 键 词：磁浮列车 耦合振动 Hurwitz行列式 HOPF分岔 

分 类 号：TP273.1[自动化与计算机技术—检测技术与自动化装置]