The Harmonic Balance Method with arc-length continuation in rotor/stator contact problems

Götz von Groll (1) , David Ewins (1)

1 Mechanical Engineering Department

There are a variety of abnormal running conditions in rotating machinery which lead to rotor/stator interaction dynamics which, in turn, can cause a rich mixture of effects associated with rub-related phenomena. These effects manifest themselves in the occurrence of multiple solutions for steady-state vibration response scenarios , including amplitude jumps during rotor acceleration, and vibration responses at different/multiple frequencies of excitation forces such as imbalance. This paper describes a numerical algorithm based on the harmonic balance method to calculate the periodic response of a non-linear system under periodic excitation. The algorithm also calculates the stability of the periodic solutions found, marks turning and bifurcation points, and follows a solution branch over varying system parameters via arc-length continuation.

Domaines: Sciences de l'ingénieur [physics]

Götz von Groll, David Ewins. The Harmonic Balance Method with arc-length continuation in rotor/stator contact problems. Journal of Sound and Vibration, 2001, ⟨10.1006/jsvi.2000.3298⟩. ⟨hal-01333704⟩