TY - JOUR
N2 - A common problem in transient rotordynamic simulations is the numerical effort necessary for the computation of hydrodynamic bearing forces. Due to the nonlinear interaction between the rotordynamic and hydrodynamic systems, an adequate prediction of shaft oscillations requires a solution of the Reynolds equation at every time step. Since closed-form analytical solutions are only known for highly simplified models, numerical methods or look-up table techniques are usually employed. Numerical solutions provide excellent accuracy and allow a consideration of various physical influences that may affect the pressure generation in the bearing (e.g., cavitation or shaft tilting), but they are computationally expensive. Look-up tables are less universal because the interpolation effort and the database size increase significantly with every considered physical effect that introduces additional independent variables. In recent studies, the Reynolds equation was solved semianalytically by means of the scaled boundary finite element method (SBFEM). Compared to the finite element method (FEM), this solution is relatively fast if a small discretization error is desired or if the slenderness ratio of the bearing is large. The accuracy and efficiency of this approach, which have already been investigated for single calls of the Reynolds equation, are now examined in the context of rotordynamic simulations. For comparison of the simulation results and the computational effort, two numerical reference solutions based on the FEM and the finite volume method (FVM) are also analyzed.
L1 - http://www.journals.pan.pl/Content/129768/PDF-MASTER/BPASTS_2023_71_6_3796.pdf
L2 - http://www.journals.pan.pl/Content/129768
PY - 2023
IS - 6
EP - e148252
DO - 10.24425/bpasts.2023.148252
KW - SBFEM
KW - Reynolds equation
KW - hydrodynamic bearings
KW - rotordynamics
A1 - Pfeil, Simon
A1 - Duvigneau, Fabian
A1 - Woschke, Elmar
VL - 71
DA - 21.12.2023
T1 - Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces
SP - e148252
UR - http://www.journals.pan.pl/dlibra/publication/edition/129768
T2 - Bulletin of the Polish Academy of Sciences Technical Sciences
ER -