中文摘要：

针对单盘转子系统，建立动不平衡状态下考虑陀螺力矩的横向一轴向耦合振动微分方程，通过数值模拟对方程进行仿真求解，分析得到横向振动与轴向振动的时域和频域波形。结果表明，动不平衡转子系统其横向振动的轴心轨迹随转速的变化而变化；横振的频率除工频Ω外，还出现了数值为ω1的频率；同时，轴向振动出现了2ω1、Ω±ω1、2Ω等多种频率成分，最后，搭建转子试验台，通过实验对微分方程及其结果进行验证。

英文摘要：

According to the single-disk rotor system, The lateral - axial coupled vibration differential equation was established considering gyroscopie moment under dynamic imbalance. Equations are solved by numerical simulation, and then the lateral vibration and axial vibration time domain and frequency domain waveform are obtained. The results show that dynamic unbalance rotor axis trajectory of the lateral vibration varies with the engine speed; Frequency of lateral vibration besides the power frequency, also appears the other frequency; At the same time, the axial vibration contains multiple frequencies. Finally, through building a rotor test rig, differential equations and their results was verified by experiment.