轴承支承刚度对行星轮系统动态稳定性的影响

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (8) : 61-68.

论文

荀超龙新华华宏星

作者信息 +

Effects of bearing stiffness on the stability of planetary gear trains

XUN Chao,LONG Xinhua,HUA Hongxing

Author information +

文章历史 +

摘要

分析了轴承支承刚度对行星轮传动机构动态稳定性的影响，建立了同时考虑各齿轮和行星架横向和扭转振动、时变啮合刚度、齿侧间隙、脱齿现象、齿廓误差和齿轮偏心误差的非线性动力学模型。提出了新的模态分类方式，该分类方式同时考虑中心轮和行星轮的振动情况。借助多尺度法，依据该模态分类，分析了轴承支承刚度对行星轮系统各模态固有频率、各模态不稳定边界、各不稳定区域内振幅的影响。分析结果与数值模拟取得了一致的结论：轴承支承刚度对行星轮系统稳定性的影响主要取决于行星轮的振动类别，各模态不稳定振动的激励条件同样依据行星轮的振动类型而不同。分析轴承支承刚度对行星轮动态稳定性的影响，可以为行星轮系统轴承的选择提供指导。

Abstract

The effects of bearing stiffness on planetary gear parameter instability were analytically investigated.A nonlinear model with multiple degrees of freedoms was built taking consideration of both translations and rotations of each component, variable mesh stiffness, backlash, loss of contact and eccentricity errors in the analysis.New classification of modal types was proposed depending on the motions of both center gears and planet gears.The effects of bearing stiffness on the natural frequencies, the instability boundaries and the response amplitudes of each modal type were analytically investigated through the method of multiple scales.And the results agree well with those of numerical integrations.The results show that the different specific influences mainly depend on the motions of planet gears.This study is expected useful for selections of bearings in the designing process of planetary gear trains.

导出引用

荀超龙新华华宏星. 轴承支承刚度对行星轮系统动态稳定性的影响[J]. 振动与冲击, 2019, 38(8): 61-68

XUN Chao,LONG Xinhua,HUA Hongxing. Effects of bearing stiffness on the stability of planetary gear trains[J]. Journal of Vibration and Shock, 2019, 38(8): 61-68

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