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

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

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

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

Department of Engineering Mathematics

Research output: Working paper › Working 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 language	English
Publication status	Published - 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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SchilderSubmitted manuscript, 1.02 MB

http://hdl.handle.net/1983/520

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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.",

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AU - Schilder, F

AU - Rübel, Jan

AU - Starke, Jens

AU - Osinga, HM

AU - Krauskopf, B

AU - Inagaki, Mizuho

N1 - Sponsorship: This work was supported by EPSRC grant GR/R72020/01, Toyota CRDL and the University of Heidelberg

PY - 2006/4/28

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N2 - 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.

AB - 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.

KW - quasiperiodic oscillation

KW - turbocharger

KW - oil-whirl

KW - unbalance oscillation

KW - vibration

KW - invariant tori

KW - rotordynamics

KW - noise

M3 - Working paper and Preprints

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

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