In this paper a non-linear stability analysis of the two-layered porous journal bearing under coupled-stress lubricant has been presented with velocity slip phenomenon and additive’s percolation effect. In this non-linear transient analysis, system stability is determined by tracing the locus of the journal center and various trajectories of journal center locus have been represented in graphical form for different operating conditions. Furthermore, stability characteristics in respect of critical mass parameter and whirl ratio have been studied under various parametric conditions and a comparison between the linear and non-linear stability analysis have been demonstrated. To acquire the non-dimensional pressure values, non-dimensional transient Reynolds equation has been solved and with these pressure values, bearing load carrying capacity are derived. Fourth order Runge-Kutta method is used to solve the second order equations of motion for journal bearing system to obtain the stability characteristics. Results of this analysis may be helpful for designing such bearings.

中文翻译：

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具有速度滑移和耦合应力润滑剂添加剂渗流效应的双层多孔轴颈轴承非线性稳定性分析

在本文中，对耦合应力润滑下的两层多孔轴颈轴承进行了非线性稳定性分析，并考虑了速度滑移现象和添加剂的渗透效应。在这种非线性瞬态分析中，系统稳定性是通过跟踪轴颈中心轨迹来确定的，并且轴颈中心轨迹的各种轨迹已针对不同的操作条件以图形形式表示。此外，在各种参数条件下研究了关于临界质量参数和涡流比的稳定性特性，并证明了线性和非线性稳定性分析之间的比较。为了获得无量纲压力值，已经求解了无量纲瞬态雷诺方程，并利用这些压力值，轴承承载能力被推导出来。四阶Runge-Kutta方法用于求解轴颈轴承系统的二阶运动方程以获得稳定性特性。该分析的结果可能有助于设计此类轴承。