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

Research output: Working paperWorking paper and Preprints

  • F Schilder
  • Jan Rübel
  • Jens Starke
  • HM Osinga
  • B Krauskopf
  • Mizuho Inagaki
Original languageEnglish
StatePublished - 28 Apr 2006


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 to change coordinates into a co-rotating frame. We show that this leads to a dramatic reduction of computational effort in the case that gravitational forces can be neglected. As a practical example we study a turbocharger model for which we give a thorough comparison of results for a model with and without gravitational forces.

Additional information

Sponsorship: This work was supported by EPSRC grant GR/R72020/01, Toyota CRDL and the University of Heidelberg

    Research areas

  • quasiperiodic oscillation, turbocharger, oil-whirl, unbalance oscillation, vibration, invariant tori, rotordynamics, noise

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  • Schilder

    Submitted manuscript, 1 MB, PDF-document


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