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.
Sponsorship: This work was supported by EPSRC grant GR/R72020/01, Toyota CRDL and the University of Heidelberg
- quasiperiodic oscillation, turbocharger, oil-whirl, unbalance oscillation, vibration, invariant tori, rotordynamics, noise