高速气浮电主轴转子系统不平衡响应分析

针对高速气浮电主轴转速高，动力学行为复杂，对不平衡激励敏感的特点，基于推广的拉格朗日方程，建立了高速电主轴转子气体轴承系统的动力学数学模型，获得了自由振动微分方程与强迫振动微分方程。在分析气浮电主轴系统残余不平衡质量产生的惯性离心力及不平衡磁拉力的作用机理的基础上，利用有限元方法，对某最高工作转速为250000 r／min 的高速气浮电主轴转子系统进行了不平衡激励的谐响应分析，揭示了运行于超临界模式的高速气浮电主轴在不平衡激励下的动力学行为，为实际工程应用中的高速气浮电主轴转子系统的优化设计、振动控制等提供了理论依据。

Unbalance response analysis of high speed aerostatic motorized spindle rotor system

According to the high speed of aerostatic motorized spindle, the complex dynamic behavior and the unbalance incentive, dynamical model is built up on the basis of Lagrange equation. And it is includes the differential equatioan of free vibration and forced vibration.Then, the residual unbalanced inertial centrifugal force and the mechanism of unbalanced magnetic pull are analyzed. Finally, a motorized spindle rotor-gas bearings system with the highest working speed of 250 000 r/min is simulated in the way of the unbalance excitation harmonic analysis. The dynamic behavior of high-speed aerostatic motorized spindle is revealed in supercritical mode at unbalance excitation.A theoretical basis is provided for the optimization design, vibration control to the rotor system of high-speed aerostatic motorized spindle in engineering application.