Efficient rotordynamic simulations with semi-analytical computation of hydrodynamic forces

• Autorzy: Pfeil Simon , Duvigneau Fabian , Woschke Elmar

Identyfikatory

DOI

10.24425/bpasts.2023.148252

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

SBFEM; scaled boundary finite element method; Reynolds equation; hydrodynamic bearings; rotordynamics

PL

metoda elementów skończonych ze skalowaną granicą; równanie Reynoldsa; łożyska hydrodynamiczne; dynamika wirnika

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2023
• Tom: Vol. 71, nr 6
• Strony: art. no. e148252
• Opis fizyczny: Bibliogr. 31 poz., rys., tab.

Twórcy

autor

Pfeil Simon

• Otto von Guericke University, Institute of Mechanics, Universitätspl. 2, 39106 Magdeburg, Germany

• https://orcid.org/0000-0002-7656-6727

autor

Duvigneau Fabian

• Otto von Guericke University, Institute of Mechanics, Universitätspl. 2, 39106 Magdeburg, Germany

• https://orcid.org/0000-0002-2396-4035

autor

Woschke Elmar

• Otto von Guericke University, Institute of Mechanics, Universitätspl. 2, 39106 Magdeburg, Germany

• https://orcid.org/0000-0002-8396-8265

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).