中文摘要：

本文用数值方法研究转子扭振-叶片弯曲振动等效系统的稳态和非稳态响应。叶片受气流周期激励力作用，与转轴通过平台干摩擦阻尼器相连，干摩擦力采用光滑模型计算。分析扭振和弯曲振动的固有频率具有1：1和1：3两种比值情况（内共振关系）的振动表明，系统不仅存在两个主共振，由于干摩擦力的非线性特点，还存在超谐和亚谐共振状况。由于阻尼器的引入，耦合系统的主共振频率点既可能升高（1：1情况），也可能降低（1：3情况），这是耦合系统中阻尼器的调频特点，在升速的非稳态响应中，主共振和超、亚谐共振幅值将会降低．而共振点一般会出现延迟现象，但也有某些共振点有所提前（1：3情况），因此存在内共振条件的干摩擦系统，具有丰富和复杂的振动现象。

英文摘要：

The stationary and nonstationary vibrations of an equivalent dry-friction coupled system of rotor, with torsional vibration, and blade, with flexural vibration, are numerically investigated in this paper. The blade is excited by periodic steam force and connected with the rotor through a dry-friction damper. The dry-friction force is calculated by a smoothing model. The natural frequency ratio between the flexural vibration and the torsional vibration is supposed to be 1：1 and 1：3 （internal resonance cases）. Investigation shows that there exist not only primary resonances but also super- and subharmonic resonances due to the friction force is nonlinear. The primary resonant frequencies can be increased （for 1：1 case） and decreased （for 1：3 case） after the two pans are coupled together. During the rotor speeds up and passes across all the resonances, the nonstationary vibrational amplitude of the rotor will be decreased, and most resonant frequencies will be delayed. Whereas the primary resonant frequency for 1：3 case is advanced. So the dynamics is complex for the dry-friction systems in internal resonance cases.