Making full use of gyro effect to adjust resonance speed distribution is of great significance for avoiding resonance design of high-speed rotor system. Existing rotor dynamics research often regards gyro effect term as an implicit quantity to be solved in dynamic equation of complex rotors, but does not carry out quantitative evaluation on its gyroscopic effect. Therefore, this paper decomposes kinetic energy components of the rotor, deduces equilibrium relationship between modal kinetic energy and potential energy of the rotor system at a specific speed, defines the ratios of gyro kinetic energy to lateral vibration energy/elastic potential energy in modal vibration as parameters to evaluate the degree to which the gyro effect affects resonance characteristics. Based on this, the gyro effect of a typical complex high-speed rotor system is evaluated. The derivation process also shows that, modal shape directly determines the gyro energy ratios, ultimately determines the change amplitude of resonance speed. Then a method to predict resonance speed under gyro effect based on modal shape is proposed, and experimental verification is carried out. The results show that, it is feasible and concrete to understand gyroscopic effect from the perspective of system energy equilibrium and transformation.

充分利用陀螺效应调节共振速度分布对于避免高速转子系统的共振设计具有重要意义。现有的转子动力学研究往往将陀螺效应项作为复杂转子动力学方程求解的隐含量，而未对其陀螺效应进行定量评价。因此，本文对转子的动能分量进行分解，推导出特定转速下转子系统模态动能与势能的平衡关系，定义陀螺动能与模态振动中的横向振动能/弹性势能之比为参数来评估陀螺效应影响共振特性的程度。基于此，评估了典型的复杂高速转子系统的陀螺效应。推导过程还表明，模态形状直接决定了陀螺能量比，最终决定了谐振速度的变化幅度。然后提出了一种基于模态形状的陀螺效应下共振速度预测方法，并进行了实验验证。结果表明，从系统能量平衡和转化的角度来理解陀螺效应是可行和具体的。