Publications in Scientific Journals:
N. Euler-Rolle, S. Jakubek, G. Offner:
"Model order reduction by projection applied to the universal Reynolds' equation";
Mathematical and Computer Modelling of Dynamical Systems,
20
(2014),
4;
374
- 394.
English abstract:
The approach presented in this paper yields a reduced order solution to the universal Reynolds´ equation for incompressible fluids, which is valid in lubrication as well as in cavitation regions, applied to oil-film lubricated journal bearings in internal combustion engines. The extent of cavitation region poses a free boundary condition to the problem and is determined by an iterative spatial evaluation of a superposed modal solution. Using a Condensed Galerkin and Petrov-Galerkin method, the number of degrees of freedom of the original grid is reduced to obtain a fast but still accurate short-term prediction of the solution. Based on the assumption that a detailed solution of a previous combustion cycle is available, a basis and an optimal test space for Galerkin´s method is generated. The resulting reduced order model is efficiently exploited in a time-saving evaluation of the Jacobian matrix describing the elastohydrodynamic coupling in a multi-body dynamics simulation using flexible components. Finally, numerical results are presented for a single crankshaft main bearing of typical dimensions.
Keywords:
Reynolds' equation, model order reduction, Galerkin projection, Jacobian matrix
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1080/13873954.2013.838587
Created from the Publication Database of the Vienna University of Technology.