Multi-dimensional harmonic balance applied to rotor dynamics

Mikhail Guskov (1) , Jean-Jacques Sinou (1) , Fabrice Thouverez (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

The multi-frequency dynamical behavior is a feature of many technical systems. Multiple shaft rotating machinery, subject to simultaneous unbalances spinning at different speeds is a particular case of such systems. Common methods of steady state solution are not valid when the addressed systems have non-linear properties. This study presents a generalized version of harmonic balance coupled with arc-length continuation, developed in order to study non-linear responses of modified Jeffcott rotor system subject to multiple unbalances. Numerically, the non-linear terms are taken into account via an AFT (alternating frequency- time domain) procedure, involving multi-dimensional FFT. An improvement to the AFT approach is proposed. The example addressed in this paper is a modified Jeffcott rotor with piece-wise radial stiffness.

Mots clés: Nonlinear; Dynamic; Rotor

Domaines: Mécanique [physics.med-ph]; Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]; Systèmes dynamiques [math.DS]

Mikhail Guskov, Jean-Jacques Sinou, Fabrice Thouverez. Multi-dimensional harmonic balance applied to rotor dynamics. Mechanics Research Communications, 2008, 35, pp.537-545. ⟨10.1016/j.mechrescom.2008.05.002⟩. ⟨hal-00322891⟩