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

Publication: Research - peer-reviewJournal article – Annual report year: 2008

  • Author: Schilder, Frank

    University of Bristol, Bristol Center for Applied Nonlinear Mathematics, Department of Engineering Mathematics

  • Author: Rübel, Jan

    University of Heidelberg, Interdisciplinary Center for Scientific Computing (IWR) and Institute of Applied Mathematics

  • Author: Starke, Jens

    Dynamical systems, Department of Mathematics, Technical University of Denmark

  • Author: Osinga, Hinke

    University of Bristol, Bristol Center for Applied Nonlinear Mathematics, Department of Engineering Mathematics

  • Author: Krauskopf, Bernd

    University of Bristol, Bristol Center for Applied Nonlinear Mathematics, Department of Engineering Mathematics

  • Author: Inagaki, Mizuho

    Toyota Central Research and Development Laboratories, Inc., Nagakute Aichi

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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 co-rotating 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
JournalNonlinear Dynamics
Publication date2008
Volume51
Journal number4
Pages529-539
ISSN0924-090X
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 3
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