多工况条件下单级行星传动非线性振动特性研究

Study on Nonlinear Vibration Behavior of Simple Single Stage Planetary Gears in Multiple Work Conditions

建立了多间隙、多时变参数的单级行星传动非线性动力学模型,模型中考虑了齿轮副间隙、时变啮合刚度及其相位差、综合啮合误差以及各行星轮位置相角时变性。根据输入转速、转矩不同,把系统运行条件分成4种典型工况,利用频谱图、动载系数、均载系数分别对系统振动的差异性进行分析。研究表明,不同工作条件下,系统非线性特性表现出不同的变化特点。轻载条件下,转速升高导致的非线性特性变化使系统振动水平的提高远超过了重载时;高速运行时,载荷增大导致的这种变化则使系统振动产生了比低速时更显著的改善。结果表明:非线性特性变化在频谱图上具有明显的分段相似特点,而系统各振动性能参数也体现出与频率特性一致的分段相似性质,为复杂工作条件下的行星传动设计提供了参考。

A nonlinear simple single stage planetary gears dynamic model that contained multiple backlashes and multiple time-varying parameters was established,wherein the backlash,time-varying mesh stiffness and its engaging phase difference,gear mesh composite errors and time-varying planet position angle were considered.According to different input rotational speed and torque,operational terms were categorized into four work conditions.The vibration behaviors were described in detail by frequency spectrum,dynamic load coefficient and load sharing coefficient.The results demonstrate that the changes of nonlinear vibration behaviors represent diverse characteristics in different work conditions.The change of nonlinear behavior that is generated by ascending rotational speed worsens vibration more clearly in light load condition than heavy load condition.At the same time,the change that is brought by increased load improves vibration more obviously in high speed state than low speed state.The change of nonlinear behavior is staged similar in frequency spectrum,each vibration characteristic parameters also have staged similar character that is consistent with frequency spectrum.It provides reference for the design of planetary gears in complicated work conditions.