An efficient method for establishing the static equilibrium position of the hydrodynamic tilting-pad journal bearings

摘要

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.