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An efficient semi‐analytical solution of the Reynolds equation
Author(s) -
Pfeil Simon,
Gravenkamp Hauke,
Duvigneau Fabian,
Woschke Elmar
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000067
Subject(s) - reynolds equation , discretization , finite element method , reynolds number , mathematics , boundary value problem , mathematical analysis , partial differential equation , lubrication , mechanics , method of fundamental solutions , ordinary differential equation , fluid bearing , boundary element method , physics , differential equation , boundary knot method , thermodynamics , turbulence
A numerically efficient, semi‐analytical solution of the Reynolds equation for hydrodynamic journal bearings is developed based on the Scaled Boundary Finite Element Method. The pressure field is discretized along the circumferential coordinate of the lubrication gap, while an analytical formulation is used in the axial direction. A system of inhomogeneous ordinary differential equations is obtained, which is solved under consideration of the boundary conditions. The solution is verified, and its numerical efficiency is investigated in comparison to an FEM solution.