锥齿轮传动系统的非线性动力学行为

摘要

主要研究了锥齿轮传动转子系统的非线性动力学行为。在滑动轴承或挤压油膜阻尼器中，油膜力是齿轮传动转子系统非线性的一个重要来源，并且与轴承的结构参数、转子的转速和作用力等多个因素有关。首先在刚性转子、齿轮不脱啮等假设条件下，考虑了锥齿轮间的广义位移约束关系，建立在非线性油膜力作用下锥齿轮传动的多转子耦合系统动力学模型。由于油膜力具有强非线性特性，因此采用数值分析方法，结合系统的稳态响应、Poincaré映射和分叉图等多种手段分析系统的动力学行为。通过初步研究得到如下结论：对于不平衡锥齿轮传动的转子系统，在低转速时转子轴心的运动与转速同步；随着转速的增加系统出现2倍周期运动等复杂的分叉现象。这些振动特征可以为这类系统的动力学设计、结构参数优化和运动状态监测等提供必要的理论依据。%This paper mainly studied the dynamic behaviors of bevel-geared rotor system under non-linear oil film forces.In the bevel-geared rotor system supported on the journal bearings or squeeze film damper,oil film force is an important source of nonlinearity,which is influenced by the structural parameters of bearings,speed of rotor and the acting forces.Under the assumptions such as the rigid rotor,the gear meshing,etc.the dynamic model of bevel-geared rotor system under non-linear oil film forces was established after considering the bevel-gear rela-tionship of the generalized displacement constraints.Because the oil film force is of strong nonlinear characteris-tics,its dynamic behaviors of the system,such as steady-state responses,Poincaré maps and bifurcation dia-grams,were analyzed by using the numerical method.The conclusions are summarized as follows:for the unbal-anced bevel-gear rotor system,the rotor motions are synchronized with rotational speed at low speeds;with the in-crease of speed,the complicated phenomena such as the 2-periodic motions in the displacement responses occur. These vibration characteristics can provide the theoretical basis for the dynamic design,structural optimization and condition monitoring.