... 11 2024 12 02 2025 12 02 2025 18 03 2025 stochastic Reynolds equation finite difference method generalized Stein’s lemma variation of operational parameters Raimondi–Boyd like diagrams bearings hydrodynamic lubrication journal bearings surface roughness and asperities...

... cause of bearing failure. This article establishes the Reynolds equation and energy equation of the oil film based on the theory of dynamic pressure lubrication of sliding bearings. The equation was numerically solved based on the finite difference method. It determines the rotational speed ratio...

... thickness discontinuity using the finite difference method (FDM). In model I, the film thickness variable is defined at the center of the mesh grids, allowing the Reynolds equation to be reformulated in a weak form that eliminates the singularity of film thickness discontinuity and satisfies the flow...

... is obtained. The recess pressure versus eccentricity, supply oil pressure, recess wrap angle, and attitude angle solved by the new method is compared with that calculated by the finite difference method and Liang’s method from two kinds of four-recess hydrostatic journal bearing compensated by capillary...

... of the rubber liner and solved by the finite difference method. An improved algorithm is proposed to track the mass conservation boundary. For the first time, the algorithm allocates independent finite difference grids for the film pressure and fluid fraction to overcome the instability issues and to ensure...

... Meshless methods are an alternative procedure for solving partial differential equations in opposition to the numerical methods that require structured meshes. In this work, the meshless method with radial basis functions (MMRB) is compared to the finite difference method (FDM) for solving the Reynolds...