磁浮车轨耦合系统稳定性分析  

Stability analysis of magnetic levitation system with vehicle-guideway interaction

作　　者：洪华杰[1] 李杰[1] 张锰 

机构地区：[1]国防科技大学机电工程与自动化学院,湖南长沙410073 [2]二炮研究院第四研究所,北京100085

出　　处：《控制理论与应用》2006年第3期421-424,428,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60404003);霍英东教育基金优选资助课题(94028);湖南省自然科学基金资助项目(03JY3108)

摘　　要：车轨耦合振动现象从磁浮列车诞生起,时至今日都没有解释清楚和彻底解决.如何合理的设计车辆和轨道,抑制车轨耦合振动成为磁浮列车系统研究的热点问题.本文建立了简化的车轨耦合系统数学模型,在单铁悬浮系统稳定性条件的基础上,基于奈奎斯特稳定性理论假设了系统相频曲线的变化规则,得到了车轨耦合系统稳定的充分性条件.文末最后证明假设是成立的,计算简化了系统稳定条件式,并以数值计算的方法验证了该稳定性条件的正确性.Since the emergence of the maglev train, the vehicle-guideway interaction vibration hasn＇t been well explored and settled. How to design the vehicle and guideway feasibly to attenuate the coupling vibration is a hot topic in the maglev train engineering. Firstly, the simplified vehicle-guideway coupling system is modeled in the paper. Based on the stable condition of single magnet levitation system and Nyquist stable theory, a hypothesis is then brought out to describe the phase diagram, and a sufficient condition is also induced to ensure system stability. Subsequently, the hypothesis is proved and the sufficient condition is simplified. Finally, the result is validated by digital evaluations.

关 键 词：车轨耦合 稳定性 磁浮列车 模态分析 

分 类 号：U266.4[机械工程—车辆工程]