Modal analyses of herringbone planetary gear train with journal bearings
Modal analyses of herringbone planetary gear train with journal bearings
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DOI：
10.1016/j.mechmachtheory.2012.03.006
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发表时间：
2012-08
影响因子：
5.2
通讯作者：
Zhonghong Bu;Geng Liu;Liyan Wu
中科院分区：
文献类型：
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作者：
Zhonghong Bu;Geng Liu;Liyan Wu
建立了人字型行星轮系的广义动力学模型，研究了人字型行星轮系的模态特性。该模型除了考虑托架和所有齿轮的三个平面自由度外，还考虑了两个斜齿圈齿轮的轴向振动。采用四个刚度系数来描述行星支承滑动轴承油膜刚度的不对称性和相互作用。振动模式分为转动和轴向振动模式、平移振动模式、行星振动模式、旋转和轴向振动模式和平移振动模式。对于每种类型的模式，根据模式的性质推导出降阶的特征值问题。文中还给出了每种振型的应变和动能分布的计算公式。所提出的动力学模型和分析方法适用于具有任意数量行星的HPGT。只有当滑动轴承中存在不对称相互作用时，才会发生平移振型的剧烈变化。本研究还导出了平移模式下行星偏转之间的新关系。
A generalized dynamic model for herringbone planetary gear train (HPGT) is developed to investigate its modal properties. The model includes the axial vibration of two helical ring gears in addition to three planar degrees of freedom for the carrier and all gears. Four stiffness coefficients are applied to describe the asymmetry and the interaction of the oil film stiffness of journal bearings for supporting the planets. Vibration modes are classified into rotational and axial mode, translational mode, planet mode, rotational and axial ring mode and translational ring mode. For each type of mode, the reduced-order eigenvalue problems are derived according to the modal properties. The formulas for calculating the modal strain and kinetic energy distributions are also given for each mode. The proposed dynamic model and analysis methods can be applied to HPGT with any number of planets. Only when the asymmetric interaction exists in journal bearings, will the dramatic change of mode shape for translational mode occur. The new relations between deflections of planets in translational mode are also derived in this research.