Vibration sideband modulation mechanism and analytical signal modelling of the ring gear in a planetary gear set

He Dai, Yinbo Wang, Shunan Luo, Bin Zi
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Abstract

To address the vibration and modulation sideband mechanism problems, this paper proposes a dynamic model for the planetary gear transmission (PGT). Based on the time-varying vibration transfer path analysis, a novel analytical vibration signal model is derived using the mode superposition method to study the vibration characteristics of the ring gear. In the presented signal model, we analyze the complicated modulation sidebands in terms of frequency and reveal the amplitude modulation effect of the carrier. Results show that amplitudes of modulation sidebands are slightly asymmetric for a single planet system, while the amplitudes of modulation sidebands are asymmetric for the multiple planets system. Furthermore, methods for suppressing the vibration are proposed by designing the appropriate planet position angles, meshing phasing, and load sharing performance. Finally, simulation and experimental signals are compared to verify the proposed model. The result shows that experimental signals keep good consistency with the simulated signals.
行星齿轮组中环形齿轮的振动边带调制机制和分析信号模型
针对振动和调制边带机制问题,本文提出了行星齿轮变速器(PGT)的动态模型。在时变振动传递路径分析的基础上,利用模态叠加法推导出一种新型的分析振动信号模型,以研究环形齿轮的振动特性。在所提出的信号模型中,我们从频率角度分析了复杂的调制边带,并揭示了载波的振幅调制效应。结果表明,单行星系统的调制边带振幅略微不对称,而多行星系统的调制边带振幅则不对称。此外,还提出了通过设计适当的行星位置角、啮合相位和负载分担性能来抑制振动的方法。最后,比较了模拟信号和实验信号,以验证所提出的模型。结果表明,实验信号与模拟信号保持了良好的一致性。
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