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THE HARMONIC BALANCE METHOD WITH ARC-LENGTH CONTINUATION IN ROTOR/STATOR CONTACT PROBLEMS

2001; Elsevier BV; Volume: 241; Issue: 2 Linguagem: Inglês

10.1006/jsvi.2000.3298

1095-8568

G. VON GROLL, D. J. Ewins,

Vibration and Dynamic Analysis

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 unbalance. 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.