齿轮耦合的转子-轴承系统非线性动力特性的研究

在考虑齿轮时变啮合刚度、齿侧间隙、脱齿、挤齿及齿背接触 等因素的情况下，建立了齿轮耦合的转子—滑动轴承系统的多自由度动力学模型。用数值方 法研究了该系统的质量不平衡响应，结果发现，由于齿轮时变啮合刚度的影响，随着转速的 增加，系统动力学响应首先由周期运动向准周期运动变化，当转速超过某一值时，系统的响应将由准周期运动发展为混沌运动；由于混沌运动，转子将沿齿轮中心线方向产生很大的变 形，脱齿、齿背接触及挤齿现象也将发生，可能导致系统产生破坏。

STUDY ON NONLINEAR DYNAMIC CHARACTERISTICS OF A GEARED ROTOR BEARING STSTEM

A multi-degree-of-freedom dynamic model of a geared rotor bearing system is developed, which includes hydrodynamic journal bearings and nonlinearity associated with meshing stiffness, backlash, separation, back-sided impacts and double-sided impacts between a gear pair. The mass unbalance response of the system is investigated by applying the numerical integration. W ith increasing speed, the dynamic response of the system first changes from periodic into quasiperiodic motion due to the meshing stiffness of the gear pair. After speed exceeds some value, the motion will change from quasiperiodic to chaotic state. Because of the chaotic motion, the rotor is large deformed in the centerline direction of the gear pair, and separation, back sided impacts and double-side d impacts also occur, which may cause the system damaged.