It is expounded and proved that 2nd order or 3rd order superharmonic resonances of a rotor system arise when its angular velocity approaches 1/2 or 1/3 its linearized natural angular frequency.

• 本文利用多尺度法分析了刚度非线性转子系统的横向振动，论证了当转频接近于线性化固有频率的1／2或1／3时，分别存在明显的二阶或三阶超谐波共振现象。