A Numerical Model to Predict Dynamic Performance of Layered Gears at Starved Lubrication

Qingbing Dong, Jing-hua Wei, Yan Li, Lixin Xu
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Abstract

Gears of modern industry are required to have a good fatigue performance to transmit power and motion through the contact interfaces. Composite layered surfaces can effectively improve the damage resistance of gears and decrease the friction coefficients. However, improper surface modification may induce intensive stress concentrations at the joint interfaces of the strengthening layers and cause unexpected damages to the flanks. Furthermore, the amount of lubricant at the inlet may probably be insufficient to establish fully flooded condition, which may result in starvation and accelerate damages to the gear sets. In this study, a starved elastohydrodynamic lubrication (EHL) model in three-dimensional (3D) line contact for layered gears is developed. The potential energy method is employed to determine the load distribution along the action line. The loading force is assumed to be balanced by the lubrication pressure, which is derived by discretizing the dimensional Reynolds equation into a solvable matrix with the consideration of the enforced boundary conditions due to the inlet oil supply. The transient evolution of lubrication is investigated to evaluate the load-carrying capability of the lubricant film at various starvation conditions. The influence coefficients related to the displacements and stresses of the layered material system are determined with the assistance of the fast Fourier transform (FFT) algorithm, and the effects of the layer properties and the fabrication methods are evaluated. Such analysis may provide insightful information for the optimization of material systems with fabricated layers and engineering design of gears.
欠润滑层状齿轮动态性能预测的数值模型
现代工业齿轮要求具有良好的疲劳性能,通过接触面传递动力和运动。复合层状表面能有效提高齿轮的抗损伤性,降低摩擦系数。然而,不适当的表面改性会导致强化层结合面处应力集中,对翼部造成意外损伤。此外,入口的润滑油量可能不足以建立完全淹没的状态,这可能导致饥饿和加速齿轮组的损坏。本文建立了层状齿轮三维线接触时的匮乏弹流润滑模型。采用势能法确定作用线上的负荷分布。加载力由润滑压力平衡,润滑压力是通过考虑进口供油的强制边界条件,将雷诺方程离散为可解矩阵得到的。研究了润滑的瞬态演化过程,评价了润滑膜在不同饥饿条件下的承载能力。利用快速傅里叶变换(FFT)算法确定了层状材料系统的位移和应力相关影响系数,并对层状材料性能和制备方法的影响进行了评价。这种分析可以为加工层材料系统的优化和齿轮的工程设计提供有见地的信息。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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