不同粗糙面渐开线齿轮混合弹流润滑

doi:10.13229/j.cnki.jdxbgxb201606023

摘要/Abstract

摘要： 为了解决具有旋转和轴向2个方向速度的胶印机窜墨辊渐开线圆柱直齿轮的润滑问题,构建了一种基于有限长线接触的混合弹性流体动压润滑模型,对不同粗糙面类型的齿轮润滑进行数值模拟。在几何分析基础上,根据混合弹流理论建立了齿轮系统的控制方程。对控制方程进行无量纲化和离散化后,采用高效的多重网格算法进行数值求解,获得了不同速度比、粗糙面类型的油膜压力分布、膜厚分布、综合摩擦因数和粗糙面承载率。研究结果表明:直齿轮的轴向速度加剧了齿端的应力集中;粗糙面类型对齿轮润滑有重要影响;没有轴向速度时,纵向粗糙面的齿端压力最大,达到593.1 MPa,有轴向速度时,纵向粗糙面的压力升高值最小,只有188.7 MPa;同时发现,轴向速度和粗糙面类型都对摩擦因数有影响。

关键词: 机械设计, 粗糙面类型, 混合弹流, 直齿轮, 二维速度, 有限长线接触

Abstract: A new model of involute spur gear of form inking roller of offset press that contains rotational and axial velocities is proposed to study the lubrication behaviour. The model is based on the finite line-contact mixed Elastohydrodynamic Lubrication (EHL) formulas, which is capable of handling the numerical simulation gear lubrication with different rough surface patterns. On the basis of geometric analysis, the governing equations are built up with the help of the mixed EHL theory. Then, the efficient multigrid method is applied to solve the governing equations after the nondimensionalization and discretization. As results, the numerical simulations can accurately predict the film pressure distribution, the film thickness distribution, the compositive friction coefficient and the asperity load ratio. It is shown that the axial velocity of spur gear intensifies the stress concentration on the gear tip. Different rough surface patterns obviously influence the lubrication behaviour of the spur gear. The film pressure of longitudinally oriented surface reaches a maximum of 593.1 MPa under the condition of non-axial velocity. The rise of the film pressure of longitudinally oriented surface reaches a minimum of 188.7 MPa only under the condition that the axial velocity is not zero. It is also shown that both the axial velocity and the rough surface pattern obviously influence the friction coefficient.

Key words: machine design, rough surface pattern, mixed EHL, spur gear, two-dimensional velocities, finite line-contact

中图分类号:

TH132.41

欧阳天成, 陈南, 牛亚峰. 不同粗糙面渐开线齿轮混合弹流润滑[J]. 吉林大学学报(工学版), 2016, 46(6): 1933-1939.

OUYANG Tian-cheng, CHEN Nan, NIU Ya-feng. Mixed elastohydrodynamic lubrication for involute gear with different rough surfaces[J]. 吉林大学学报(工学版), 2016, 46(6): 1933-1939.

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