Abstract :
[en] The direct parametrisation of invariant manifold is used for model order reduction of large amplitude vibrations of clamped-clamped and rotating cantilever beams. A particular emphasis is set on the computation of the backbone curve in case of internal resonance. For the clamped beam, the 1:5 resonance between first and third mode occuring at large amplitude, is reproduced with the
model. For the rotating cantilever, a Campbell diagram is first used to detect the appearance of a 1:5 resonance, which is then computed
with the reduction method.
