Robust vibration control for the high speed overhung rotor system considering the gyroscopic effect of rotor

本研究旨在探讨主动式振动控制系统，以有效降低悬臂转子旋转机械的不平衡振动。由于旋转机械的构造限制，振动控制系统可能难以装备在悬臂转子上，因此难以直接控制悬臂转子的振动。高速悬臂转子具有很强的陀螺效应，采用主动柔性支承轴承座作为振动控制装置，由柔性支承轴承和电磁作动器组成。由于陀螺效应，悬臂转子的振动的x和y分量彼此耦合，并且用于减小振动的控制增益取决于转子的旋转速度。H_∞控制作为鲁棒控制在系统中执行。为了简化陀螺作用下H ∞控制器的设计，利用H ∞控制理论，从忽略陀螺作用的悬臂转子系统的状态方程中推导出控制增益，即利用卡尔曼滤波器对陀螺作用下悬臂转子系统的状态变量进行估计。数值仿真结果表明，与最优调节器理论相比，本文所设计的H_∞控制器具有同样的振动抑制效果，但鲁棒性更强。将模拟结果与实验结果进行了比较，结果表明两者具有相似的趋势。

This research studies an active vibration control system to effectively reduce the unbalanced vibration of rotating machinery with an overhung rotor. It is difficult to control vibrations of the overhung rotor directly because the vibration control system may be hardly equipped on the overhung rotor due to restrictions in construction of rotating machinery. In this study, the overhung rotor is supported by an actively flexible bearing pedestal as a vibration control device that is consisted of a flexibly supported bearing and electromagnetic actuators.A high-speed overhung rotor has a very strong gyroscopic effect. Due to the gyroscopic effect, the x and y components of vibration of the overhung rotor couple each other, and a control gain to reduce vibration is dependent on a rotating velocity of the rotor. The H_∞ control is performed in the system as a robust control. In order to simplify the design of the H_∞ controller for the system with the gyroscopic action, the control gain is derived from state equations of overhung rotor system ignored the gyroscopic term by the H_∞ control theory that is estimated state variables by the Kalman filter for overhung rotor system with the gyroscopic action are used. As results of numerical simulation, use of the H_∞ controller developed in this study gives the similar effective vibration suppression but higher robustness in comparison with use of the optimal regulator theory. The simulated results are compared with experimental ones and both results show the similar tendency in this study.