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

F Schilder, Jan Rübel, Jens Starke, HM Osinga, B Krauskopf, Mizuho Inagaki

Research output: Working paperWorking paper and Preprints

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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 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.
Original languageEnglish
Publication statusPublished - 28 Apr 2006

Bibliographical note

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

Keywords

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

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