Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts

F. Schilder, J. Rubel, J. Starke, H.M. Osinga, B. Krauskopf, M. Inagaki

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Abstract

We present a numerical method for the investigation of quasiperiodic oscillations in applications modeled by systems of ordinary differential equations. We focus on systems with parts that have a significant rotational speed. An important element of our approach is that it allows us to verify whether one can neglect gravitational forces after a change of coordinates into a corotating frame. Specifically, we show that this leads to a dramatic reduction of computational effort. As a practical example, we study a turbocharger model for which we give a thorough comparison of results for a model with and without the inclusion of gravitational forces.
Original languageEnglish
Pages (from-to)529-539
Number of pages11
JournalNonlinear Dynamics
Volume51
Issue number4
Early online date3 Mar 2007
DOIs
Publication statusPublished - Mar 2008

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