The bias of the bias rotor disc affects the critical speed, vibration mode, and vibration energy of the rotor system. In order to better understand and control the gyroscopic effect caused by the turntable bias and improve the operation safety and working performance of the rotor system, this paper takes the single-disc rotor system as the object, establishes the model of the bias turntable rotor system, and studies the influence of the gyroscopic effect caused by different turntable positions on the energy and vibration response characteristics of the rotor system in combination with the time-average power flow. The results show that when the turntable is located at different node positions, the greater the bias degree, the greater the deviation of the first-order critical speed, vibration amplitude and energy curve caused by ignoring the gyroscopic effect, and the greater the amplitude of the time-average power flow curve of the rotor system.