Tribology Letters ( IF 2.9 ) Pub Date : 2021-09-23 , DOI: 10.1007/s11249-021-01514-x Yinhu Xi 1 , Marcus Björling 2 , Andreas Almqvist 2
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In this work, a numerical model is proposed for three-dimensional rolling contact problems with one or two elastic layers, and the tangential contact solution is emphasized. Previous works on this topic have mostly been two-dimensional, in which only longitudinal creepage has been considered. With the three-dimensional model presented in this work, all possible creepages, such as the longitudinal, lateral and spin creepages are taken into account. In order to improve the calculation efficiency, the conjugate gradient method and the FFT technique are employed. The influence coefficients for displacement and stress are obtained from the corresponding frequency response functions. The numerical results are validated against existing results and good agreement can be found. The effects of the different layers’ thicknesses and elastic moduli under different creepage combinations on the traction distribution and stick/slip results are investigated. It can be seen that by adjusting the layer parameters the traction and stick/slip results can be modified significantly, and it may, therefore, be very useful information for improving the rolling contact fatigue and mitigating wear problems in various mechanical systems.
Graphical Abstract
中文翻译：
求解具有弹性涂层的三维滚动接触问题的数值模型
在这项工作中，提出了一个具有一层或两层弹性层的三维滚动接触问题的数值模型，并强调了切向接触的解决方案。以前关于这个主题的工作大多是二维的，其中只考虑了纵向爬电距离。在这项工作中提出的三维模型中，所有可能的爬电距离，例如纵向、横向和自旋爬电距离都被考虑在内。为了提高计算效率，采用了共轭梯度法和FFT技术。位移和应力的影响系数从相应的频率响应函数中获得。数值结果针对现有结果进行了验证，并且可以找到良好的一致性。研究了不同爬电距离组合下不同层的厚度和弹性模量对牵引力分布和粘滑结果的影响。可以看出，通过调整层参数，可以显着修改牵引和粘滑结果，因此，它可能是改善滚动接触疲劳和减轻各种机械系统磨损问题的非常有用的信息。
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