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Modal analyses of herringbone planetary gear train with journal bearings

机译:带轴颈轴承的人字形行星齿轮系的模态分析

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摘要

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.
机译:建立了人字行星齿轮系(HPGT)的广义动力学模型以研究其模态特性。该模型包括两个螺旋齿圈的轴向振动,以及齿轮架和所有齿轮的三个平面自由度。应用四个刚度系数来描述支撑行星齿轮的轴颈轴承的油膜刚度的不对称性和相互作用。振动模式分为旋转和轴向模式,平移模式,行星模式,旋转和轴向环形模式以及平移环形模式。对于每种类型的模式,根据模态属性推导降阶特征值问题。还为每种模式给出了计算模态应变和动能分布的公式。所提出的动力学模型和分析方法可以应用于任何数量的行星的HPGT。只有当轴颈轴承中存在非对称相互作用时,平移模式的模式形状才会发生剧烈变化。在这项研究中还推导了平移模式下行星偏转之间的新关系。

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