Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces
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 Rey...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2023-12-01
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| Series: | Bulletin of the Polish Academy of Sciences: Technical Sciences |
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| Online Access: | https://journals.pan.pl/Content/129768/PDF/BPASTS_2023_71_6_3796.pdf |
| _version_ | 1827386528556384256 |
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| author | Simon Pfeil Fabian Duvigneau Elmar Woschke |
| author_facet | Simon Pfeil Fabian Duvigneau Elmar Woschke |
| author_sort | Simon Pfeil |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T15:46:38Z |
| format | Article |
| id | doaj.art-4a3456648ce547dcbf7d3e0bcd1b77ef |
| institution | Directory Open Access Journal |
| issn | 2300-1917 |
| language | English |
| last_indexed | 2024-03-08T15:46:38Z |
| publishDate | 2023-12-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| spelling | doaj.art-4a3456648ce547dcbf7d3e0bcd1b77ef2024-01-09T10:13:46ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172023-12-01716https://doi.org/10.24425/bpasts.2023.148252Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forcesSimon Pfeil0https://orcid.org/0000-0002-7656-6727Fabian Duvigneau1https://orcid.org/0000-0002-2396-4035Elmar Woschke2https://orcid.org/0000-0002-8396-8265Otto von Guericke University, Institute of Mechanics, Universitätspl. 2, 39106 Magdeburg, GermanyOtto von Guericke University, Institute of Mechanics, Universitätspl. 2, 39106 Magdeburg, GermanyOtto von Guericke University, Institute of Mechanics, Universitätspl. 2, 39106 Magdeburg, GermanyA 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.https://journals.pan.pl/Content/129768/PDF/BPASTS_2023_71_6_3796.pdfsbfemreynolds equationhydrodynamic bearingsrotordynamics |
| spellingShingle | Simon Pfeil Fabian Duvigneau Elmar Woschke Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces Bulletin of the Polish Academy of Sciences: Technical Sciences sbfem reynolds equation hydrodynamic bearings rotordynamics |
| title | Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces |
| title_full | Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces |
| title_fullStr | Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces |
| title_full_unstemmed | Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces |
| title_short | Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces |
| title_sort | efficient rotordynamic simulations with semi analytical computation of hydrodynamic forces |
| topic | sbfem reynolds equation hydrodynamic bearings rotordynamics |
| url | https://journals.pan.pl/Content/129768/PDF/BPASTS_2023_71_6_3796.pdf |
| work_keys_str_mv | AT simonpfeil efficientrotordynamicsimulationswithsemianalyticalcomputationofhydrodynamicforces AT fabianduvigneau efficientrotordynamicsimulationswithsemianalyticalcomputationofhydrodynamicforces AT elmarwoschke efficientrotordynamicsimulationswithsemianalyticalcomputationofhydrodynamicforces |