考虑齿距偏差的直齿轮转子系统振动特性分析

针对工程实际中的齿轮存在齿距偏差,主要研究齿距偏差对齿轮系统振动特性的影响。考虑齿距偏差,建立了齿轮啮合刚度和传递误差模型,在此基础上,建立了通用齿轮啮合动力学模型,将该模型与转子系统有限元模型进行耦合,得到了齿轮转子系统有限元模型,分析了齿距偏差对系统振动响应的影响。研究结果表明:由于齿距偏差的存在,齿轮双齿啮合区刚度降低,无载荷传递误差增大,齿轮系统振动增大,频谱图中出现啮合频率及其高次谐波的边频带成分,这些边频带主要由主动和从动齿轮的转频及其倍频组成。减小齿距偏差和增大作用扭矩均能降低齿距偏差引起的边频带幅值。研究结果可为含齿距偏差的齿轮振动分析提供理论依据。

Vibration Characteristics Analysis of a Spur Gear Rotor System with the Pitch Deviation

For the engineering gear with the pitch deviation, vibration characteristics of a gear rotor system with the pitch deviation are studied. A model is introduced for analyzing the influence of pitch deviation on the gear mesh stiffness and no load transmission error. Based on this model, a general gear dynamic model is developed. Combined this model with the rotor system model, a finite element model of the gear rotor system is established. Then considering the effects of the tooth pitch deviation, vibration characteristics of a spur gear rotor system are analyzed. The results showed that the gear mesh stiffness of double teeth meshing area decreases and no load transmission error increases considering the pitch deviation. What’s more, the vibration of gear system increases and the side bands of mesh frequency and higher-order harmonics can be found with the pitch deviation. Those side bands are mainly composed of driving and driven gear rotational frequencies and multiple-frequencies of rotational frequencies. The amplitudes of the side bands can be decreased by the less pitch deviation and bigger torque.