Abstract Establishing the static equilibrium position of the tilting-pad journal bearing is key to determining the bearing performance. Methods for establishing the equilibrium were divided into three groups and compared. The fastest convergence was achieved using the quasi-Newton methods, namely the Anderson mixing scheme and Broyden's methods. Root-finding boundaries and the Armijo rule were implemented into these methods to obtain the globally convergent efficient methods. To test the methods, the two-dimensional computational model of the tilting-pad journal bearing based on the thermo-elasto-hydrodynamic lubrication theory was proposed. The results of the equilibrium for two bearings operating in laminar and transition flow regimes under different loads and speeds were shown. These results were validated with two sets of published experimental data.

中文翻译：

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一种建立流体动力可倾瓦滑动轴承静平衡位置的有效方法

摘要 可倾瓦滑动轴承静平衡位置的建立是决定轴承性能的关键。建立平衡的方法分为三组并进行比较。最快的收敛是使用拟牛顿方法实现的，即安德森混合方案和布罗伊登方法。在这些方法中实现了寻根边界和Armijo规则，以获得全局收敛的有效方法。为了验证这些方法，提出了基于热-弹性-流体动力润滑理论的可倾瓦滑动轴承二维计算模型。显示了在不同载荷和速度下在层流和过渡流态下运行的两个轴承的平衡结果。