中文摘要：

以自主研制的磁悬浮转子系统为研究对象，运动拉格朗日方程建立了系统的动力学方程。通过Matlab编制相应程序计算了系统在不同支承条件下临界转速及模态振型，计算得到转子在无支承条件下的一阶临界转速为75Hz，控制作用下的一阶临界转速为110Hz。采用丹麦B＆K振动测试仪测量主轴在不同转速下的振动分布，获得了主轴的振动谱线分布图，结果表明：磁悬浮转子系统的模态振型不仅与转子本身的结构特性有关，还取决于控制系统，这些结论对进一步优化设计磁悬浮转子系统提供了有益的参考。

英文摘要：

Dynamic equations of the magnetic suspended rotor system were developed by adopting Lagrange equation. The critical speed and mode shape of the system were calculated. The first critical speed of the rotor is 75 Hz and 110 Hz in different situation. In different work state, using the vibration instrument of B＆K to measure the vi- bration of the magnetic suspended system, we obtained the vibration spectrum. The. result shows that the mode shape of the system is not only decided by the structure of the rotor, but also by the controller.