Towards a complete numerical description of lubricant film dynamics in ball bearings
Towards a complete numerical description of lubricant film dynamics in ball bearings
复制标题
球轴承润滑油膜动力学的完整数值描述
DOI：
10.1007/s00466-013-0904-1
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发表时间：
2014
影响因子：
4.1
通讯作者：
R. Rannacher
中科院分区：
文献类型：
--
作者：
S. Knauf;S. Frei;T. Richter;R. Rannacher
在这篇文章中，我们提出了一个详细的有限元分析球轴承弹流润滑的框架。我们对这一领域的贡献是双重的。首先，我们提出了一个完整的整体ALE方法处理流固耦合问题。对于润滑剂，我们使用完整的Navier-Stokes方程与压力相关的粘度定律相结合，并包括热效应。其次，我们介绍了一种新的方法，全隐式处理的润滑剂的自由表面的演变使用Nitsches方法。这允许独立于空间离散化的任意大的时间步长。尽管该应用中存在各种数值挑战，例如各向异性和极端压力值，但我们的方法首次显示了工业应用中所需的高转速的鲁棒性。我们详细描述了我们使用的数值成分，并提出了数值结果，验证我们的方法，并证明其能力。
In this article, we propose a framework for a detailed finite element analysis of elastohydrodynamic lubrication in ball bearings. Our contribution to this field is twofold. First, we present a fully monolithic ALE method for the treatment of fluid–structure interaction. For the lubricant, we use the full Navier–Stokes equations in combination with a pressure-dependent viscosity law and include thermal effects. Second, we introduce a novel method for a fully implicit treatment of the evolution of the lubricants’ free surface using Nitsches method. This allows for arbitrarily large time steps independent of the spatial discretization. Despite the variety of numerical challenges present in this application, such as anisotropy and extreme values of pressure, our approach for the first time shows robustness up to high rotational speeds as required in industrial applications. We describe the numerical ingredients we use in detail and present numerical results that validate our approaches and demonstrate its capabilities.